Browse Numbers & Operations problems Studdy Solved!

Problem 101

(a) $\frac{1^{2011}}{2011^{-1}}$

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Problem 102

How much money does an employee working for a salary of $\$ 64,000$ per year get paid every two weeks?

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Problem 103

How much money does an employee working for a salary of $\$ 37,000$ per year get paid every two weeks?

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Problem 104

Find the wages for 50 hours of work, using "double-time" overtime pay after 40 hours. \begin{tabular}{|l|c|c|c|c|c|} \hline \multicolumn{7}{|c|}{ Overtime Pay } \\ \hline Hours Worked & 10 & 20 & 30 & 40 & 50 \\ \hline Money Earned & $\$ 160.00$ & $\$ 320.00$ & $\$ 480.00$ & $\$ 640.00$ & $\$[?]$ \\ \hline \end{tabular}

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Problem 105

A certain state uses the progressive tax rate below for calculating individual income tax. Calculate the state income tax owed on an \60,000 per year salary. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Income \\ Range (\$) \end{tabular} & \begin{tabular}{c} Progressive \\ Tax Rate \end{tabular} \\ \hline 0-24,000 & 4 \% \\ \hline 24,001-52,000 & 6 \% \\ \hline 52,001+ & 8 \%$ \\ \hline \end{tabular}

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Problem 106

Calculate the commission that a sales person would earn if they received $5 \%$ commission on a $\$ 3,000$ painting that they sold.

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Problem 107

PRNGIC Write the prime factorization of the number. If the number is prime, write prime.
1. 42
2. 104
3. 75
4. 23
6. 27
7. 72 a. 180
9. 47
11. 88
12. 49
13. 83
14. 142

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Problem 108

13 How is the number five thousand and eighty-five hundredths written in decimal form? Select from the following options. (A) $5,000.0085$ (B) 500.00085 (c) $5,000.085$ (D) $5,000.85$

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Problem 109

If the federal government used the progressive tax rate below for individual income tax, calculate the federal income tax owed on a $\$ 74,300$ salary. \begin{tabular}{|c|c|} \hline Standard Deduction & $\$ 12,200$ \\ \hline Income Range (\) & \begin{tabular}{l} Progressive \\ Tax Rate \end{tabular} \\ \hline 0 - \quad 9,700 & 10 \% \\ \hline 9,701 - 39,475 & 12 \% \\ \hline 39,476-84,200 & 22 \% \\ \hline 84,201-160,275 & 249 \% \\ \hline 160,276+ & 32 \%$ \\ \hline \end{tabular}

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Problem 110

4! =

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Problem 111

What is the total amount of money being deducted from the account in the table of payments shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Payments } & Amount \\ \hline Outgoing ACH for Auto Loan & $\$ 220.00$ \\ \hline Outgoing Phone Transfer & $\$ 50.00$ \\ \hline Outgoing App Transfer & $\$ 196.90$ \\ \hline E-pay Electricily Bill & $\$ 80.00$ \\ \hline \end{tabular} $\$[?]$

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Problem 112

What is the employee's yearly contribution to the U.S. Social Security tax on a salary of $\$ 112,000$ ? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline \multicolumn{1}{|c|}{ Total Due: } & $12.40 \%$ & $\mathbf{2 . 9 0 \%}$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 113

An employee in the $22 \%$ tax bracket invests $\$ 1500.00$ in a Roth IRA. When the employee retires, her salary is still in the $22 \%$ tax bracket. What tax will be assessed on the initial investment when the employee retires? A. $\$ 330.00$ B. Since the employee is using a Roth IRA, she will pay no taxes when she retires. C. Not enough information to answer D. $\$ 33.00$

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Problem 114

Health insurance coverage for an employee is $\$ 2,470$ per year. Their employer pays $80 \%$ of that cost. How much is taken from the employee's biweekly paycheck?

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Problem 115

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 790$ and the annual interest rate is $2.4 \%$ ? $\text { Interest = } \$[?]$

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Problem 116

In 14-25, find each quotient.
14. $\frac{2}{3} \div \frac{1}{3}$
15. $\frac{1}{2} \div \frac{1}{16}$
16. $\frac{1}{4} \div \frac{1}{12}$
17. $\frac{6}{7} \div \frac{3}{7}$
18. $\frac{5}{14} \div \frac{4}{7}$
19. $\frac{5}{8} \div \frac{1}{2}$
20. $\frac{7}{12} \div \frac{3}{4}$
21. $\frac{2}{7} \div \frac{1}{2}$
24. $\frac{3}{10} \div \frac{3}{5}$
25. $\frac{2}{5} \div \frac{1}{8}$
22. $\frac{4}{9} \div \frac{2}{3}$
23. $\frac{7}{12} \div \frac{1}{8}$

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Problem 117

Annual expenses for an individual are shown in the table. To prorate the annual costs into a monthly budget, how much money per month should be budgeted for car registration? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Annual Expenses } \\ \hline Car Registration & $\$ 90.00$ \\ \hline Car Insurance & $\$ 520.00$ \\ \hline Home Insurance & $\$ 1020.00$ \\ \hline \end{tabular} \$[?]

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Problem 118

Annual expenses for an individual are shown in the table. To prorate the annual costs into a monthly budget, how much money per month should be budgeted for car insurance? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Annual Expenses } \\ \hline Car Registration & $\$ 72.00$ \\ \hline Car Insurance & $\$ 660.00$ \\ \hline Home Insurance & $\$ 1152.00$ \\ \hline \end{tabular} $\$[?]$

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Problem 119

Annual expenses are shown in the table. To prorate the annual costs into a monthly budget. how much money per month should be budgeted to account for all of these expenses? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Annual Expenses } \\ \hline Car Registration & $\$ 80.00$ \\ \hline Car Insurance & $\$ 500.00$ \\ \hline Home Insurance & $\$ 920.00$ \\ \hline \end{tabular}

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Problem 120

Calculate the percent change in the water bill from March to April. \begin{tabular}{|l|r|r|} \hline \multicolumn{1}{|c|}{ Expense } & \multicolumn{1}{c|}{ March } & \multicolumn{1}{c|}{ April } \\ \hline Electricity & $\$ 80.00$ & $\$ 90.00$ \\ \hline Water & $\$ 42.00$ & $\$ 45.00$ \\ \hline Groceries & $\$ 112.00$ & $\$ 120.00$ \\ \hline Restaurant & $\$ 86.00$ & $\$ 86.00$ \\ \hline \end{tabular} [?]\%

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Problem 121

$-48.3 \div(-7)=$

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Problem 122

$1 \frac{8}{9} \div \frac{1}{3}=$

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Problem 123

Estimate each product. Then find the exact product
1. A gallon of water at room temperature weighs about 8.35 pounds. Lena puts 4.5 gallons in a bucket. How much does the water weigh?

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Problem 124

Blaine exchanges $\$ 100$ for yen before going to Japan. If each U.S. dollar is worth 88.353 yen, how many yen should Blaine receive?

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Problem 125

Express the product and the quotients of the following with the appropriate number of sig figs: 1) $\left(3.56 \times 10^{5}\right)\left(4.21 \times 10^{6}\right)=$ 2) $\left(2 \times 10^{7}\right)\left(8 \times 10^{-9}\right)=$ 3) $\left(4.11 \times 10^{-5}\right)\left(7.51 \times 10^{-4}\right)=$ 4) $8.45 \times 10^{7} / 6.74 \times 10^{3}=$ 5) $9.7 \times 10^{8} / 8.6 \times 10^{-2}=$ 6) $4.7 \times 10^{-2} / 5.7 \times 10^{-6}=$

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Problem 126

2 4 \longdiv { 5 2 8 }

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Problem 127

Seven busloads each carrying 35 students arrived at the game, joining 23 students who were already there. Evaluate the expression $23+7 \times 35$ to find the total number of students at the game.

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Problem 128

What is the ending balance on this account after these transfers are completed? \begin{tabular}{|c|l|c|} \hline \multicolumn{2}{|c|}{ Beginning Balance } & $\$ 1.20000$ \\ \hline 19-Jul & ACH Outgoing Transfer & $\$ 720.00$ \\ \hline 20-Jul & Incoming App Transfer & $\$ 2,000.00$ \\ \hline 23-Jul & ACH Incoming Transfer & $\$ 25.00$ \\ \hline 24-Jul & E-bill Pay Utilities & $\$ 112.00)$ \\ \hline \end{tabular} $\phi[?]$

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Problem 129

What is the net (take-home) pay for an individual with expenses shown who has a gross income of $\$ 70,000$ ?
Tax Table \begin{tabular}{|l|r|} \hline \multicolumn{1}{|r|}{ Expenses } & Amount Taxed \\ \hline FICA & $\$ 5,300.00$ \\ \hline State Income Tax & $\$ 3,300.00$ \\ \hline Federal Income Tax & $\$ 8,600.00$ \\ \hline Medical Insurance & $\$ 1,000.00$ \\ \hline \end{tabular} $\$[?]$

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Problem 130

What is the ending balance on this account after these transfers are completed? \begin{tabular}{|c|l|c|} \hline Beginning Balance & $\$ 1,000.00$ \\ \hline 19-jul & ACH Outgoing Transfer & $\$(780.00)$ \\ \hline 20-Jul & Incoming App Transfer & $\$ 1,700.00$ \\ \hline 23 - Jul & ACH Incoming Transfer & $\$ 30.00$ \\ \hline 24- Jul & E-bill Pay Utilities & $\$(114.00)$ \\ \hline \end{tabular} $\phi[?]$

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Problem 131

What number multiplied by itself will give the product $625 ?$

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Problem 132

What is the interest eamed after 1 year in a savings account with an initial investment of $\$ 4.600$ and a $4 \%$ simple interest rate?

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Problem 133

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 880$ and the annual interest rate is $3.1 \%$ ?

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Problem 134

b. $5.36 \div 4=$

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Problem 135

4. Which of the following statements is FALSE? a. If a number is a multiple of 9 , then it is also a multiple of 3 . b. If a number is divided by 9 , then it is divisible by 3 . c. If 9 is a divisor of a number, then 3 is also a divisor of the number. d. If a number is divisible by 3 , then it is divided by 9 .

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Problem 136

Use the number line to find the ditference of $1-(-2.5)$ A. -3.5 B. 1.5 C. -1.5 D. 3.5

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Problem 137

Use the number line to find the difference of $3 \frac{1}{2}-8$ A. $-3 \frac{1}{2}$ B. $-4 \frac{1}{2}$ C. $5 \frac{1}{2}$ D. $-5 \frac{1}{2}$

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Problem 138

Wrikng and using unit rates in context
Complete the parts below. Write your answers as whole numbers or fractions in simplest form. (a) A candy shop uses a ratio of 25 pleces of dark chocolate to 5 pleces of milk chocolate when assembling boxes of fudge. Give two different unit rates using this relationship.
One unit rate: (Choose one) $\square$ for each $\square$ (Choose one) Another unit rate: $\square$ (Choose one) $\square$ for each (Choose one) $\square$ (b) How many pleces of dark chocolate are needed if 4 pleces of milk chocolate are used? $\square$ pleces of dark chocolate

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Problem 139

Use the associative property to simplity the expression. $50+20+37$ A. $(50+20)+37=70+37$ $=107$ B. $10(5+2)+37=10(7)+37$ $=70+37$ $=107$ C. $50+20+37=50+57$ $=107$ D. $50+37+20=87+20$ $=107$

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Problem 140

3 Which equation could be represented by the number line? A. $9+(-8)=1$ B. $-1+(-9)=-10$ C. $-9+8=-1$ D. $-4+(-5)=-9$

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Problem 141

5 Oscar is $3 \frac{1}{2}$ inches taller than Mike. Mike is $58 \frac{3}{4}$ inches tall. How tall is Oscar? A. $62 \frac{1}{4}$ inches B. 62 inches C. $62 \frac{1}{2}$ inches D. $61 \frac{1}{4}$ inches

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Problem 142

Approximate each number using a calculator. $5^{\sqrt{2}}$ $5^{\sqrt{2}} \approx 11.090$ (Round to three decimal places.)

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Problem 143

Jim sees 7 dogs. There are 3 brown dogs. The rest of the dogs are white with spots. Which equation shows how many dogs are white with spots? $7+3=10$ $7-3=4$ $4-3=1$

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Problem 144

There are 4 flowers in each vase. Which expression represents the number of flowers there are in all? $3 \times 12$ $3+4$ $3 \times 4$ $3+12$

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Problem 145

Answer the following questions. (a) $15 \%$ of 80 is what number? \% (b) 22 is what percent of 40 ?

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Problem 146

Answer the following questions. (a) 27 is $45 \%$ of what number? \% (b) 39 is what percent of 52 ?

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Problem 147

Complete the parts below. Write your answers as whole numbers or fractions in simplest form. (a) A construction crew bult 11 kilometers of road in 33 days. Give two different unit rates using this relationship.
One unit rate: $\square$ (Choose one) per $\square$ Another unit rate: $\square$ $\square$ (Choose one) ${ }^{v}$ per $\square$ (b) Assume the crew bullds the same amount of road each day. How many kllometers of road can they bulld in 27 days? $\square$ kllometers

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Problem 148

About $2 \times 10^{9}$ units of music were sold in one year. of those, obout $5 \times 10^{7}$ units mete digital albums. Sharad says that the total number of units sold thot yoor is oboul 4 x thent times the number of digltat albums sold, is sharded comoct?
Use the drop-down menus to explain your reasoning.
Click the arrows to choose an answer from each menu. To compare the two numbers of units, Sharad can divide Ghoose equotiont of the fwa numbers is Choose... ( Therefore, sthentat Choose..

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Problem 149

f the federal government used the progressive tax rate below for individual income tax, calculate the federal income tax owed on a $\$ 25,700$ salary. \begin{tabular}{|r|c|} \hline Standard Deduction & \12,200 \\ \hline Income Range (\$) & \begin{tabular}{c} Progressive \\ Tax Rate \end{tabular} \\ \hline 0-9,700 & 10 \% \\ \hline 9,701-39,475 & 12 \% \\ \hline 39,476-84,200 & 22 \% \\ \hline 84,201-160,275 & 24 \% \\ \hline 160,276+ & 32 \%$ \\ \hline \end{tabular}

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Problem 150

Vul de tabel in om de meeteenheden om te zetten van centimeter naar meter of van meter naar centimeter. \begin{tabular}{cc} Centimeter & Meter \\ 100 & 1 \\ 170 & 1,7 \\ $\square$ & 11 \end{tabular}

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Problem 151

What is the employer's yearly contribution to the U.S. Medicare tax on a salary of $\$ 65,000$ ? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline \multicolumn{1}{|c|}{ Total Due: } & $\mathbf{1 2 . 4 0 \%}$ & $\mathbf{2 . 9 0 \%}$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 152

What is an independent contractor's yearly contribution to the U.S. Social Security tax on an income of $\$ 40,000 /$ year? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline \multicolumn{1}{|c|}{ Total Due: } & $\mathbf{1 2 . 4 0 \%}$ & $\mathbf{2 . 9 0 \%}$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 153

What is the independent contractor's yearly contribution to the U.S. Medicare tax on a salary of $\$ 65,000$ ? \begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|c|}{ FICA Taxes } \\ \hline & Social Security & Medicare \\ \hline \multicolumn{1}{|c|}{ Total Due: } & $\mathbf{1 2 . 4 0 \%}$ & $\mathbf{2 . 9 0 \%}$ \\ \hline \begin{tabular}{l} Employer's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \begin{tabular}{l} Employee's \\ Responsibility \end{tabular} & $6.20 \%$ & $1.45 \%$ \\ \hline \end{tabular}

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Problem 154

What sign makes the comparison true? $0.25 ?-\frac{1}{4}$ You can use the number line to help. $>$

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Problem 155

Cora snijdt 18 kg groene appels voor een feestje. Zij verdeelt de appelpartjes gelijkmatig over 5 grote schalen.
Hoeveel gram appelpartjes heeft Cora in elke schaal gedaan? 1 kilogram $=1000$ gram $\square$ $g$

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Problem 156

2. Which scales are equivalent to 1 inch to A. 1 to 12 B. 12 to 1 C.) 100 to 0.12 D. 5 to 60 E. 36 to 3 F. 9 to 108
3. A model airplane is built at a scale of 1 t long, how many feet long is the actual a

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Problem 157

Zet 475 milliliter om in liter. $\square$ liter

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Problem 158

8. $8,093,327$
The 3 in the $\qquad$ place is $\qquad$ than the 3 in the $\qquad$ place.

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Problem 159

1. $47 \%$ of $70 \approx$ Shere your werk.
4. $65 \%$ of $152 \approx$ $\qquad$
7. $224 \%$ of $320 \approx$ $\qquad$
2. $39 \%$ of $120 \approx$ $\qquad$
13. $21 \%$ of $90 \approx$ $\qquad$
5. $72 \%$ of $238 \approx$ $\qquad$
6. $132 \%$ of $54 \approx$ $\qquad$
8. $\frac{3}{4} \%$ of $168 \approx$ $\qquad$
9. $0.4 \%$ of $510 \approx$ $\qquad$

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Problem 160

Tyler has 24 quarters and 6 dimes. a. Write and explain the meaning of two ratios that could represent this situation. bil and.12:3 berause they ore able to be muitipled to get $24: 6$ b. Tyler puts all the coins in bags. Every bag has the same number of quarters and the same number of dimes. How many bags of coins can Tyler make? How many quarters and how many dimes are in each bag? c. Use ratio language to describe the relationship between the number of quarters and the numb of dimes in each bag from part (b).

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Problem 161

Estimate. (Examples 1-4)
1. $47 \%$ of $70 \approx$ $\qquad$ show your work. work.
4. $65 \%$ of $152 \approx$ $\qquad$
2. $39 \%$ of $120 \approx$ $\qquad$
5. $72 \%$ of $238 \approx$ $\qquad$
7. $224 \%$ of $320 \approx$ $\qquad$
13. $21 \%$ of $90 \approx$ $\qquad$
6. $132 \%$ of $54 \approx$ $\qquad$
9. $0.4 \%$ of $510 \approx$ $\qquad$

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Problem 162

Which number has a 2 that is worth ten times as much as the 2 in 24 ?

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Problem 163

Which number has a 9 that is ten times greater than the 9 in 975 ?

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Problem 164

12 What is the value of each number? 7 $-7$ 14 $-14$ $|7|=$ $\square$ $|-14|=$ $\square$ $|14|=$ $\square$ $\square$

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Problem 165

Plot the numbers $-\frac{3}{2}, 3 \frac{1}{3}$ , and -4.75 .

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Problem 166

5. Determine $\mathbf{1 1 . 2} \div \mathbf{0 . 0 7}$ .
Multiply 0.07 and 11.2 by $\square$ 0 . 0 7 \longdiv { 1 1 . 2 0 } Place the decimal point in the quotient. Divide as with whole numbers.
Got 1t? Do these problems to find out. d. $5.6 \div 0.014$ e. $6.24 \div 200$ f. $0.4 \div 25$ f. e. $\qquad$ d. $\qquad$ show Yourt $\qquad$ Lesson 2 Divide Decimals by Decimals 117

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Problem 167

A polling company reported that $17 \%$ of 2302 surveyed adults said that they play football. Complete parts (a) through (d) below. a. What is the exact value that is $17 \%$ of 2302 ?
The exact value is $\square$ $\square$ . (Type an integer or a decimal.)

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Problem 168

3.3 times as many Internet users in Japan than mpam.
Autided Practice ivide. (Examples 1-5) $3.69 \div 0.3=$ $\qquad$
2. $0.0338 \div 1.3=$ $\qquad$
3. $2.943 \div 2.7=$ $\qquad$

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Problem 169

Select either < or > to make the statement true. $\begin{array}{l} -20 \ldots \quad 9 \\ -10 \quad-100 \\ -13 \_13 \end{array}$

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Problem 170

5. At the beginning of a lesson, a piece of chalk is 4.875 inches long. At the end of the lesson, it is 3.125 inches long. Write the two amounts in expanded form using fractions. a. At the beginning of the lesson: b. At the end of the lesson:
6. Mrs. Herman asked the class to write an expanded form for 412.638. Nancy wrote the expanded form using fractions, and Charles wrote the expanded form using decimals. Write their responses.

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Problem 171

Mixed operations word problems Grade 5 Word Problems Worksheet A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal sections: 2 premium sections and 10 standard sections. A seat at the premium section costs $\$ 48$ per game. A seat at the standard section costs $\$ 27$ per game.
1. How many seats are there in each section?

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Problem 172

Solve using the standard algorithm. a. $0.64 \div 4=$ $\qquad$ b. $6.45 \div 5=$ $\qquad$ c. $16.404 \div 6=$ $\qquad$

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Problem 173

Question
Plot 2 and -7 on the number line below.
Find the distance between 2 and -7 .
Answer Attempt 1 out of 2 $\square$ units Snbmit Answer

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Problem 174

3. Mrs. Mayuko paid $\$ 40.68$ for 3 kg of shrimp. What's the cost of 1 kilogram of shrimp?

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Problem 175

Question
Plot 3 and -7 on the number line below.
Find the distance between 3 and -7 .
Answer Attempt 2 out of 2 $\square$ units Snbmit Answer

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Problem 176

Date *. 3 erewaps af $\qquad$ ternths is 1.5 $1.5+3=$ $\qquad$ b. 5 groups of $\qquad$ hundredths is 0.24 $0.24 \div 6=$ $\qquad$ c. 5 groups of $\qquad$ thousandths is 0.045 $0.045+5=$ $\qquad$
Complete the number sentence. Express the quotient in units and then in standard fo a. $9 \cdot 36+3=$ $\qquad$ ones $\div 3-$ $\qquad$ hundredths - 3 $=$ $\qquad$ ones + $\qquad$ hundredths $=$ $\qquad$ b. $36.012 \div 3=$ $\qquad$ ones $\div 3+$ $\qquad$ thousandths $\div 3$ $=$ $\qquad$ anes - $\qquad$ thousandths $=$ $\qquad$ $3.55 \div 5=$ $\qquad$ tenths $\div 5+$ $\qquad$ hundredths $\div 5$ $3.545 \div 5=$ $\qquad$ $=$ $\qquad$ $=$

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Problem 177

b. $36.012 \div 3=$ $\qquad$ 0 12 thousandths $\div 3$ ones $\div 3+$ $\qquad$ $=$ $\qquad$ ones + $\qquad$ thousandths $=$ $\qquad$ c. $3.55 \div 5=$ $\qquad$ tenths $\div 5+$ $\qquad$ hundredths $\div 5$ $=$ $\qquad$ $=$ $\qquad$ d. $3.545 \div 5=$ $\qquad$ $=$ $\qquad$ $=$ $\qquad$

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Problem 178

3. Find the quotients. Then, use words, numbers, or pictures to describe any relationships you notice between each pair of problems and quotients. a. $21+7=$ $\qquad$ $2.1 \div 7=$ $\qquad$ b. $48 \div 8=$ $\qquad$ $0.048 \div 8=$ $\qquad$

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Problem 179

Name
1. Complete the sentences with the correct number of units, and then complete the equation. a. 3 groups of $\qquad$ tenths is 1.5 . $1.5 \div 3=$ $\qquad$ b. 6 groups of $\qquad$ hundredths is 0.24 . $0.24 \div 6=$ $\qquad$ c. 5 groups of $\qquad$ thousandths is 0.045 . $0.045 \div 5=$ $\qquad$

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Problem 180

\documentclass{article} \usepackage{amsmath} \begin{document}
A stadium has 10500 seats and 8 cup boxes. The stadium is divided into 12 equal sections: 2 premium sections and 10 standard sections. A seat at the premium section costs \$48 per game. A seat at the standard section costs \$27 per game.
\begin{enumerate} \item How many seats are there in each section? \item If there are 35 seats in each row, how many rows are in each section? \end{enumerate}

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Problem 181

Evaluate: $\sqrt{9}$

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Problem 182

Question 10 of 10
What is the simplest form of the fraction below? $\frac{15}{30}$ A. $\frac{3}{7}$ B. $\frac{2}{3}$ C. $\frac{1}{2}$ D. $\frac{3}{8}$

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Problem 183

$\left(2^{-1}+3^{-1}+4^{-1}\right) \times \frac{3}{4}$

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Problem 184

Evaluate. Write your answers as fractions. $\begin{array}{c} -\left(\frac{3}{5}\right)^{3}= \\ \frac{5^{2}}{-2}= \end{array}$

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Problem 185

$(1+\sqrt{3})(1-\sqrt{3})$
1. simplify $\frac{1}{1+\sqrt{3}} \text { to } 3 \text { s.f. given that } \sqrt{3} \times 1.732$

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Problem 186

$\begin{array}{r}-29+55=84 \\ -37+(-48)=7\end{array}$

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Problem 187

$\begin{array}{l}29+(-41)=\square \\ -42+(-33)=\square\end{array}$

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Problem 188

$\left(2-\frac{1}{6}\right)-\left\{\left(\frac{1}{2}+\frac{1}{3}\right)+\left[\frac{19}{7}-\frac{7}{4}-\left(\frac{11}{4}-\frac{8}{3}+\frac{2}{7}\right)\right]\right\}-\left[\left(\frac{9}{7}-\frac{4}{21}-\frac{1}{2}\right)-\left(\frac{1}{2}-\frac{1}{7}\right)\right]$

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Problem 189

$-4+8-5$

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Problem 190

vame: 23 Ms. Blankenship had $\$ 80$ to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost 31.40 , and each box of crayons cost 50,59 . How much money did Ms. Blankenship have left after these purchases?

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Problem 191

Lesson $1.1 \sim$ Adding and Subtracting Decimats Name $\qquad$ Period $\qquad$ Date $\qquad$ 3 Find ouch sum.
1. $6.57+5.32$
2. $4.05+7.95$
3. $9.812+8.4$ \ $.$ 10.002+0.308 $<br />5.$ 3.9+5.334 $<br />6.$ 15.300+5.813 $<br />7. Celia bought a camera for$ \ $158,96$ and a scrapbook for $\$ 38,75$ . How much did she spend altogether?
Find each difference.
8. $8.6-5.5$
9. $7.983-3.87$
10. $16.35-10.983$
11. $20.4-13.94$
12. $70.54-35.36$
13. $33.333-22.555$ -
14. A rectangle had a length of 4.5 units and a width of 2.67 units. How much longer was th length of the rectangle than its width?
Find each sum or difference.
15. $88.4+15.65$
16. $91.001-50.953$
17. $37.203-29.8$ 1 C 4 25,1 5 3 3 $\qquad$

See Solution

Problem 192

$-4.05+3.18$

See Solution

Problem 193

f. $12 \div \frac{7}{8}$

See Solution

Problem 194

2) $\sqrt[5]{32}+(14-2)^{2}: \sqrt{144}=$

See Solution

Problem 195

$30:(4-14)+(-8: 2-3) \cdot 2=$

See Solution

Problem 196

$30:(4-14)+(-8: 2-3) \cdot 2=$

See Solution

Problem 197

$30:(4-14)+(-8: 2-3) \cdot 2=$

See Solution

Problem 198

2) $92 \times 75=$

See Solution

Problem 199

c lattice multiplication to solve each problem 2) $92 \times 75$

See Solution

Problem 200

4. Pacific Coast Coffee is priced at $\$ 12.88$ for 80 cups of coffee and Down South Coffee is priced at $\$ 9.00$ for 50 cups. Which brand of coffee is the better value for one cup?

See Solution

Numbers & Operations

Problem 101

(a) 120112011−1\frac{1^{2011}}{2011^{-1}}2011−112011​

Problem 102

How much money does an employee working for a salary of $64,000\$ 64,000$64,000 per year get paid every two weeks?

Problem 103

How much money does an employee working for a salary of $37,000\$ 37,000$37,000 per year get paid every two weeks?

Problem 104

Problem 105

Problem 106

Calculate the commission that a sales person would earn if they received 5%5 \%5% commission on a $3,000\$ 3,000$3,000 painting that they sold.

Problem 107

PRNGIC Write the prime factorization of the number. If the number is prime, write prime.1. 422. 1043. 754. 236. 277. 72 a. 1809. 4711. 8812. 4913. 8314. 142

Problem 108

13 How is the number five thousand and eighty-five hundredths written in decimal form? Select from the following options. (A) 5,000.00855,000.00855,000.0085 (B) 500.00085 (c) 5,000.0855,000.0855,000.085 (D) 5,000.855,000.855,000.85

Problem 109

Problem 110

4! =

Problem 111

Problem 112

Problem 113

Problem 114

Health insurance coverage for an employee is $2,470\$ 2,470$2,470 per year. Their employer pays 80%80 \%80% of that cost. How much is taken from the employee's biweekly paycheck?

Problem 115

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $790\$ 790$790 and the annual interest rate is 2.4%2.4 \%2.4% ? Interest = $[?]\text { Interest = } \$[?] Interest = $[?]

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

Problem 121

−48.3÷(−7)=-48.3 \div(-7)=−48.3÷(−7)=

Problem 122

189÷13=1 \frac{8}{9} \div \frac{1}{3}=198​÷31​=

Problem 123

Estimate each product. Then find the exact product1. A gallon of water at room temperature weighs about 8.35 pounds. Lena puts 4.5 gallons in a bucket. How much does the water weigh?

Problem 124

Blaine exchanges $100\$ 100$100 for yen before going to Japan. If each U.S. dollar is worth 88.353 yen, how many yen should Blaine receive?

Problem 125

Problem 126

2 4 \longdiv { 5 2 8 }

Problem 127

Seven busloads each carrying 35 students arrived at the game, joining 23 students who were already there. Evaluate the expression 23+7×3523+7 \times 3523+7×35 to find the total number of students at the game.

Problem 128

Problem 129

Problem 130

Problem 131

What number multiplied by itself will give the product 625?625 ?625?

Problem 132

What is the interest eamed after 1 year in a savings account with an initial investment of $4.600\$ 4.600$4.600 and a 4%4 \%4% simple interest rate?

Problem 133

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $880\$ 880$880 and the annual interest rate is 3.1%3.1 \%3.1% ?

Problem 134

b. 5.36÷4=5.36 \div 4=5.36÷4=

Problem 135

Problem 136

Use the number line to find the ditference of 1−(−2.5)1-(-2.5)1−(−2.5) A. -3.5 B. 1.5 C. -1.5 D. 3.5

Problem 137

Use the number line to find the difference of 312−83 \frac{1}{2}-8321​−8 A. −312-3 \frac{1}{2}−321​ B. −412-4 \frac{1}{2}−421​ C. 5125 \frac{1}{2}521​ D. −512-5 \frac{1}{2}−521​

Problem 138

Problem 139

Problem 140

3 Which equation could be represented by the number line? A. 9+(−8)=19+(-8)=19+(−8)=1 B. −1+(−9)=−10-1+(-9)=-10−1+(−9)=−10 C. −9+8=−1-9+8=-1−9+8=−1 D. −4+(−5)=−9-4+(-5)=-9−4+(−5)=−9

Problem 141

5 Oscar is 3123 \frac{1}{2}321​ inches taller than Mike. Mike is 583458 \frac{3}{4}5843​ inches tall. How tall is Oscar? A. 621462 \frac{1}{4}6241​ inches B. 62 inches C. 621262 \frac{1}{2}6221​ inches D. 611461 \frac{1}{4}6141​ inches

Problem 142

Approximate each number using a calculator. 525^{\sqrt{2}}52​ 52≈11.0905^{\sqrt{2}} \approx 11.09052​≈11.090 (Round to three decimal places.)

Problem 143

Jim sees 7 dogs. There are 3 brown dogs. The rest of the dogs are white with spots. Which equation shows how many dogs are white with spots? 7+3=107+3=107+3=10 7−3=47-3=47−3=4 4−3=14-3=14−3=1

Problem 144

There are 4 flowers in each vase. Which expression represents the number of flowers there are in all? 3×123 \times 123×12 3+43+43+4 3×43 \times 43×4 3+123+123+12

Problem 145

Answer the following questions. (a) 15%15 \%15% of 80 is what number? \% (b) 22 is what percent of 40 ?

Problem 146

Answer the following questions. (a) 27 is 45%45 \%45% of what number? \% (b) 39 is what percent of 52 ?

Problem 147

Problem 148

Problem 149

Problem 150

Vul de tabel in om de meeteenheden om te zetten van centimeter naar meter of van meter naar centimeter. \begin{tabular}{cc} Centimeter & Meter \\ 100 & 1 \\ 170 & 1,7 \\ □\square□ & 11 \end{tabular}

(a) $\frac{1^{2011}}{2011^{-1}}$

How much money does an employee working for a salary of $\$ 64,000$ per year get paid every two weeks?

How much money does an employee working for a salary of $\$ 37,000$ per year get paid every two weeks?

Calculate the commission that a sales person would earn if they received $5 \%$ commission on a $\$ 3,000$ painting that they sold.

PRNGIC Write the prime factorization of the number. If the number is prime, write prime.
1. 42
2. 104
3. 75
4. 23
6. 27
7. 72 a. 180
9. 47
11. 88
12. 49
13. 83
14. 142

13 How is the number five thousand and eighty-five hundredths written in decimal form? Select from the following options. (A) $5,000.0085$ (B) 500.00085 (c) $5,000.085$ (D) $5,000.85$

Health insurance coverage for an employee is $\$ 2,470$ per year. Their employer pays $80 \%$ of that cost. How much is taken from the employee's biweekly paycheck?

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 790$ and the annual interest rate is $2.4 \%$ ? $\text { Interest = } \$[?]$

$-48.3 \div(-7)=$

$1 \frac{8}{9} \div \frac{1}{3}=$

Estimate each product. Then find the exact product
1. A gallon of water at room temperature weighs about 8.35 pounds. Lena puts 4.5 gallons in a bucket. How much does the water weigh?

Blaine exchanges $\$ 100$ for yen before going to Japan. If each U.S. dollar is worth 88.353 yen, how many yen should Blaine receive?

Seven busloads each carrying 35 students arrived at the game, joining 23 students who were already there. Evaluate the expression $23+7 \times 35$ to find the total number of students at the game.

What number multiplied by itself will give the product $625 ?$

What is the interest eamed after 1 year in a savings account with an initial investment of $\$ 4.600$ and a $4 \%$ simple interest rate?

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $\$ 880$ and the annual interest rate is $3.1 \%$ ?

b. $5.36 \div 4=$

Use the number line to find the ditference of $1-(-2.5)$ A. -3.5 B. 1.5 C. -1.5 D. 3.5

Use the number line to find the difference of $3 \frac{1}{2}-8$ A. $-3 \frac{1}{2}$ B. $-4 \frac{1}{2}$ C. $5 \frac{1}{2}$ D. $-5 \frac{1}{2}$

3 Which equation could be represented by the number line? A. $9+(-8)=1$ B. $-1+(-9)=-10$ C. $-9+8=-1$ D. $-4+(-5)=-9$

5 Oscar is $3 \frac{1}{2}$ inches taller than Mike. Mike is $58 \frac{3}{4}$ inches tall. How tall is Oscar? A. $62 \frac{1}{4}$ inches B. 62 inches C. $62 \frac{1}{2}$ inches D. $61 \frac{1}{4}$ inches

Approximate each number using a calculator. $5^{\sqrt{2}}$ $5^{\sqrt{2}} \approx 11.090$ (Round to three decimal places.)

Jim sees 7 dogs. There are 3 brown dogs. The rest of the dogs are white with spots. Which equation shows how many dogs are white with spots? $7+3=10$ $7-3=4$ $4-3=1$

There are 4 flowers in each vase. Which expression represents the number of flowers there are in all? $3 \times 12$ $3+4$ $3 \times 4$ $3+12$

Answer the following questions. (a) $15 \%$ of 80 is what number? \% (b) 22 is what percent of 40 ?

Answer the following questions. (a) 27 is $45 \%$ of what number? \% (b) 39 is what percent of 52 ?

Vul de tabel in om de meeteenheden om te zetten van centimeter naar meter of van meter naar centimeter. \begin{tabular}{cc} Centimeter & Meter \\ 100 & 1 \\ 170 & 1,7 \\ $\square$ & 11 \end{tabular}

What sign makes the comparison true? $0.25 ?-\frac{1}{4}$ You can use the number line to help. $>$

Cora snijdt 18 kg groene appels voor een feestje. Zij verdeelt de appelpartjes gelijkmatig over 5 grote schalen.
Hoeveel gram appelpartjes heeft Cora in elke schaal gedaan? 1 kilogram $=1000$ gram $\square$ $g$

2. Which scales are equivalent to 1 inch to A. 1 to 12 B. 12 to 1 C.) 100 to 0.12 D. 5 to 60 E. 36 to 3 F. 9 to 108
3. A model airplane is built at a scale of 1 t long, how many feet long is the actual a

Zet 475 milliliter om in liter. $\square$ liter

8. $8,093,327$
The 3 in the $\qquad$ place is $\qquad$ than the 3 in the $\qquad$ place.

12 What is the value of each number? 7 $-7$ 14 $-14$ $|7|=$ $\square$ $|-14|=$ $\square$ $|14|=$ $\square$ $\square$

Plot the numbers $-\frac{3}{2}, 3 \frac{1}{3}$ , and -4.75 .

A polling company reported that $17 \%$ of 2302 surveyed adults said that they play football. Complete parts (a) through (d) below. a. What is the exact value that is $17 \%$ of 2302 ?
The exact value is $\square$ $\square$ . (Type an integer or a decimal.)

3.3 times as many Internet users in Japan than mpam.
Autided Practice ivide. (Examples 1-5) $3.69 \div 0.3=$ $\qquad$
2. $0.0338 \div 1.3=$ $\qquad$
3. $2.943 \div 2.7=$ $\qquad$

Select either < or > to make the statement true. $\begin{array}{l} -20 \ldots \quad 9 \\ -10 \quad-100 \\ -13 \_13 \end{array}$

Solve using the standard algorithm. a. $0.64 \div 4=$ $\qquad$ b. $6.45 \div 5=$ $\qquad$ c. $16.404 \div 6=$ $\qquad$

Question
Plot 2 and -7 on the number line below.
Find the distance between 2 and -7 .
Answer Attempt 1 out of 2 $\square$ units Snbmit Answer

3. Mrs. Mayuko paid $\$ 40.68$ for 3 kg of shrimp. What's the cost of 1 kilogram of shrimp?