Numbers & Operations

Problem 7101

Perform the indicated operation. Simplify the result if possible. 6yd2fl×46 \mathrm{yd} 2 \mathrm{fl} \times 4

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Problem 7102

1. What is the rational number represented by letter BB.
1. \qquad A) -1.1 B) 0.1 C) -0.1 D) 1.1

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Problem 7103

A) -1.1 B) 0.1
2. Which number is a not a rational number?
2. \qquad C) -0.1 A) 16\sqrt{16} B) π\pi C) -5 D) 2
3. What number is equivlant to 23\frac{-2}{3} ?
3. \qquad A) 23\frac{2}{3} B) 36\frac{-3}{6} C) 46\frac{-4}{-6} D) 46\frac{-4}{6}
4. \qquad
4. Evaluate: 25+(35)\frac{-2}{5}+\left(\frac{3}{5}\right) A) 110\frac{1}{10} B) 15\frac{1}{5} C) 15\frac{-1}{5} D) 625\frac{-6}{25} 5.

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Problem 7104

6 What is the difference: 45(710)\frac{-4}{5}-\left(\frac{-7}{10}\right) ? 6. \qquad A) 32\frac{-3}{2} B) 310\frac{3}{10} C) 110\frac{-1}{10} D) 32\frac{3}{2}
7. What -is the product 14×(35)\frac{1}{4} \times\left(\frac{-3}{5}\right) ?
7. \qquad A) 320\frac{-3}{20} B) 29\frac{-2}{9} C) 320\frac{3}{20} D) 720\frac{-7}{20}

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Problem 7105

3. Evaluate: A) 119+(176)\frac{11}{9}+\left(\frac{-17}{6}\right) \quad (2 marks)

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Problem 7106

Pary 2: Long Answer Questions. 24 marks Answer ALL questions in the space provided. Show ALL working to receive FULL credit.
1. Place and label these rational numbers on the number line below: (5 marks) 4.124,34,312,118,0.9-4.124, \frac{-3}{4}, 3 \frac{1}{2}, \frac{-11}{8}, 0 . \overline{9}

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Problem 7107

Answer ALL questions in the space provided. Show ALL working to receive FULL credit
1. Place and label these rational numbers on the number line below: 4.124,34,312,118,0.9-4.124, \frac{-3}{4}, 3 \frac{1}{2}, \frac{-11}{8}, 0 . \overline{9} (5 marks)

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Problem 7108

```latex \begin{align*} 4652 + 9578 + 878 &= 15108 \\ 43427 + 2945 &= 46372 \\ 3079 + 5609 &= 8688 \\ \end{align*}

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Problem 7109

43. Weather Polar stratospheric clouds are colorful clouds that form when temperatures fall below 78C-78^{\circ} \mathrm{C}. What is this temperature in degrees Fahrenheit?

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Problem 7110

Find the highest common factor of the numbers 45, 120, and 180.

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Problem 7111

11. Which three of the following show correct calculations for finding 7%7 \% of 900 ? \square 900×7100(900×1%)×7\frac{900 \times \frac{7}{100}}{(900 \times 1 \%) \times 7} \square 900÷7%900 \div 7 \% B
(900×1%)×7(900 \times 1 \%) \times 7
900×0.07900 \times 0.07 D 900×0.07%900 \times 0.07 \% step きiew next step vv

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Problem 7112

Estima el cociente. 28.3÷928.3 \div 9 A. 30 B. 10 C. 1 D. 3

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Problem 7113

Estima el cociente. 4.81÷0.974.81 \div 0.97 5 1 0 50

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Problem 7114

La señora Swanson y 2 vecinos compraron una cortadora de césped para compartir. La cortadora de césped cuesta $358.40\$ 358.40. Describe cómo puedes estimar la parte del costo de cada persona.
Usando números compatibles, \square ÷3\div 3 resulta en que cada persona paga alrededor de $\$ (Escribe un número entero o un decimal). \square.

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Problem 7115

Estima el cociente redondeando cada número al número entero más cercano. 33.7÷9.533.7 \div 9.5
Escribe tu respuesta en el recuadro.

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Problem 7116

```latex \text{The prices of two different brands are given as follows:} \\ \text{Brand A: } £2.65 \text{ for } 140g \\ \text{Brand B: } £3.10 \text{ for } 175g \\
\text{What is the difference between the prices of the two brands?} ```

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Problem 7117

650 Hz2=3(343 ms343+11mss)650 \mathrm{~Hz}_{2}=3\left(\frac{343 \mathrm{~ms}}{343+11 \mathrm{mss}}\right)

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Problem 7118

Is 672,0886,068-672,088-6,068 positive or negative? positive negative

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Problem 7119

What number has 7 hundred thousands, 1 fewer ten thousand than hundred thousands, 4 fewer thousands than hundred thousands, the same number of hundreds as hundred thousands, 3 more tens than thousands, and 4 fewer ones than hundred thousands? \square

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Problem 7120

What number has 2 ten thousands, 7 more thousands than ten thousands, 5 fewer hundreds than thousands, 6 more tens than ten thousands, and 1 fewer one than thousands? \square

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Problem 7121

What number has 2 hundred thousands, 5 more ten thousands than hundred thousands, no thousands, 4 more hundreds than hundred thousands, 6 more tens than thousands, and no ones? \square

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Problem 7122

What number has 6 ten thousands, 1 fewer thousand than ten thousands, 2 more hundreds than ten thousands, the same number of tens as ten thousands, and 2 fewer ones than tens? \square

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Problem 7123

13. A bus to Belfast leaves Antrim Bus Station every 25 minutes. The first bus each day leaves at 7 am . Darren wants to get a bus after 8 am. What time is the first suitable bus? \qquad (2)
14. A blue light flashes every 8 seconds.

A red light flashes every 12 seconds. Both lights have just flashed together. After how many seconds will both lights flash together? \qquad (2)
15. Kelly is organising a barbecue.

She needs bread rolls and burgers. Bread rolls are sold in packs of 20. Burgers are sold in packs of 12. Kelly buys exactly the same number of bread rolls as burgers. What is the least number of each pack that Kelly buys? \qquad packs of bread rolls \qquad packs of burgers (3) @ CORBETTMATHS 2014

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Problem 7124

Dimostrare che n0,11\forall n \geq 0,11 divide 9n+1+26n+19^{n+1}+2^{6 n+1}

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Problem 7125

Question Sales of video games and consoles fell from $1.15\$ 1.15 million to $1.03\$ 1.03 million in 1 year. Find the percent decrease. Round your answer to the nearest tenth of a percent. For example, if the answer is 34.08%34.08 \% enter 34.1%34.1 \%.

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Problem 7126

Jamie's engine is performing 294 revolutions in 4 minutes. Write the rate as a fraction in simplest form. Do not include units in your answer.

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Problem 7127

Question Write the rate as a fraction in simplest form: 492 miles in 8 hours.

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Problem 7128

Question Annie drives her car 144 miles using 8 gallons of gas. How many miles per gallon does her car get? Do not include the units in your answer.

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Problem 7129

Question You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total check is $134.50\$ 134.50. As a group you decide to tip the waiter 20%20 \% on top of the total check amount. How much money should you and each friend pay, including tip? Round your answer to the nearest cent.

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Problem 7130

(7.01×103)+(5.6×101)\left(7.01 \times 10^{3}\right)+\left(5.6 \times 10^{-1}\right)
PLY YOUR SKILLS Find the number of second The speed of liaht is appro

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Problem 7131

Rowena's monthly gasoline bill dropped from $83.75\$ 83.75 last month to $56.95\$ 56.95 this month. Find the percent decrease. Round your answer to the nearest percent. Do NOT round until you have calculated the final answer.

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Problem 7132

Simplify: 7.5(13)27.5 \cdot\left(\frac{1}{3}\right)^{2} \square

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Problem 7133

ASSIGNMENT - Calculate the number density of free carriers in silver, assuming that each atom contributes one carrier, the density of silver is 105x103 kg m3105 x \frac{10^{3} \mathrm{~kg}}{\mathrm{~m}^{3}} and the atomic weight is 107.g/mol107 . \mathrm{g} / \mathrm{mol}.

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Problem 7134

Calculate the number of moles in 5.00 kg of calcium carbonate, CaCO3.\text{Calculate the number of moles in 5.00 kg of calcium carbonate, } \mathrm{CaCO}_{3}. Use the formula: Number of moles=massmolar mass\text{Use the formula: } \text{Number of moles} = \frac{\text{mass}}{\text{molar mass}} Show complete working and use correct significant digits.\text{Show complete working and use correct significant digits.}

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Problem 7135

90×90=90 \times 90=

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Problem 7136

Add. 13+59-\frac{1}{3}+\frac{5}{9}
Write your answer in simplest form.

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Problem 7137

\begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{} & \multicolumn{2}{|c|}{ Integer? } \\ \cline { 2 - 3 } & Yes & No \\ \hline-50 & & \\ \hline1817\frac{18}{17} & & \\ \hline-37.9 & & \\ \hline546\frac{54}{6} & & \\ \hline-987.72 & & \\ \hline \end{tabular}

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Problem 7138

36632(36384)=\frac{36}{6} \cdot 32(36 \cdot 384)=

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Problem 7139

Evaluate the following. 4×4614÷24 \times 4-6-14 \div 2

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Problem 7140

Evaluate (84)÷2(8-4) \div 2.

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Problem 7141

How much blood is needed for 3 tests if each requires 2142 \frac{1}{4} cc? A. 31123 \frac{1}{12} cc B. 6146 \frac{1}{4} cc C. 6126 \frac{1}{2} cc D. 6346 \frac{3}{4} cc E. 7127 \frac{1}{2} cc

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Problem 7142

1. Simplify the fraction 1232\frac{12}{32}.

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Problem 7143

Calculate the value of 13064\frac{130}{64}.

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Problem 7144

Calculate the value of 2242 \frac{2}{4}.

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Problem 7145

Calculate the total bill for 381638 \frac{1}{6} hours at a rate of \$60 per hour. What is the total?

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Problem 7146

A driver can deliver how much stone today if a truck carries 5125 \frac{1}{2} tons and makes 6 deliveries?

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Problem 7147

Calculate 801÷911801 \div 9 - 11.

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Problem 7148

Calculate 42×178+342 \times 178 + 3.

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Problem 7149

To clean dental instruments, if the water to disinfectant ratio is 2:3, how much water is needed for 9 parts disinfectant? A. 2 B. 3 C. 6 D. 8 E. 9

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Problem 7150

Calculate the total screws needed for 12 kitchen doors (2 screws each) and 6 bathroom doors (1 screw each). Choices: A. 8 B. 10 C. 18 D. 22 E. 30

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Problem 7151

A 36-inch pipe has a 14-inch piece cut from it. How much is left? F. 12 inches G. 18 inches H. 22 inches J. 32 inches K. 50 inches

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Problem 7152

A hospital patient owes \$550 and pays \$50 monthly. How much is left after 2 payments? A. \$50 B. \$100 C. \$400 D. \$450 E. \$500

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Problem 7153

Stock snacks for 96 passengers: 14\frac{1}{4} pretzels, 12\frac{1}{2} peanuts, 14\frac{1}{4} chips. How many pretzel bags?

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Problem 7154

Calculate the total cost of a trip: airfare \$1,332, hotel \$1,500, car rental \$60/day for 7 days. Total?

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Problem 7155

Calculate the total cost of a trip: airfare \$1,332, hotel \$1,500, car rental \$60/day for 7 days. What is the total?

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Problem 7156

Borrowing \$20,000 at 10% simple interest for 2.5 years will require a payback of how much?

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Problem 7157

A salesperson sells 50 acres at \$900/acre with a 10% commission. What's the broker's share after a 60-40 split?

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Problem 7158

Calculate the total bill for a table with a ham sandwich, meatball hoagie, fries, iced tea, and lemonade.

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Problem 7159

You drive 1,820 miles for 36 hours, earning \$0.60 per mile. How much will you earn? Options: A. \$21.60 B. \$1,092.00 C. \$2,092.00 D. \$10,920.00 F. \$65,520.00

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Problem 7160

You wrote 20 tickets this month, twice as many for defacing property. What fraction of tickets were for defacing property? A. 130\frac{1}{30} B. 120\frac{1}{20} C. 110\frac{1}{10} D. 15\frac{1}{5}

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Problem 7161

A homeowner's insurance premium of \$730 covers one year from January 12. If sold on October 23, what is the proration amount? Options: \$162.00, \$568.00, \$164.25, \$565.75.

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Problem 7162

Calculate the total number of pies and tarts: 13 apple pies + 14 coconut cream pies + 54 fruit tarts. What is the total?

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Problem 7163

Find the average score of a candidate who scored 87,96,8387, 96, 83, and 9898. Is it 83, 87, 90, 91, or 93?

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Problem 7164

Find the difference between 96.5 feet and 97 feet 3 inches. What is the difference in inches? A. 2 B. 3 C. 8 D. 9 E. 10

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Problem 7165

A homeowner sold their property on October 23. The insurance premium was \$730 for a year. What is the proration amount? \$162.00

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Problem 7166

Find the volume difference between a 30 quart feeder and a 6 gallon feeder. Options: 1.5, 5, 6, 7.5, 24 quarts.

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Problem 7167

How many times greater is a cat's current weight (8 pounds, 12 ounces) than its birth weight (3.5 ounces)?

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Problem 7168

Mr. Madison has the SW 1/41/4 of the SW 1/41/4 of land worth \$240/acre. What's its total value? \$9,600 or \$3,840?

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Problem 7169

How many points does a \$ 1,875 discount on a \$ 75,000 mortgage represent? Options: 2.5, 2, 4.5, 5.

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Problem 7170

An account earns 7%7\% simple interest. If it has \$950 in year 1, how much will it have in year 6?

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Problem 7171

Calculate: 78.084molL×42L78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}, 7.8084molL×0.9L7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}, and 626.45mol÷34.3L626.45 \mathrm{mol} \div 34.3 \mathrm{L}.

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Problem 7172

Calculate the following: 78.084molL×42L78.084 \frac{\mathrm{mol}}{\mathrm{L}} \times 42 \mathrm{L}, 7.8084molL×0.9L7.8084 \frac{\mathrm{mol}}{\mathrm{L}} \times 0.9 \mathrm{L}, and 626.45mol÷34.3L626.45 \mathrm{mol} \div 34.3 \mathrm{L}.

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Problem 7173

Find the GCF of 35 and 80 using prime factors. What expression represents it? A. 5 B. 15 C. 8

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Problem 7174

Find the prime factorization of 100. Options: A. 2×2×5×52 \times 2 \times 5 \times 5, B. 2×52 \times 5, C. 2×2×52 \times 2 \times 5, D. 10×1010 \times 10

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Problem 7175

Calculate the expression: 5×5÷9×1+25 \times 5 \div 9 \times 1 + 2.

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Problem 7176

Saddleback Company paid off \$39,000 in accounts payable. What are the effects on the accounting equation?

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Problem 7177

Calculate the value of 333777333 \sqrt{777}.

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Problem 7178

How many 14-ounce bags can be made from 42 pounds of coffee? Options: A. 3 B. 18 C. 28 D. 48 E. 56

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Problem 7179

Choose a number to pair with 6 that is relatively prime: A. 6, B. 5, C. 12.

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Problem 7181

Find the volume difference between a 30 quart feeder and a 6 gallon feeder. Options: 1121 \frac{1}{2}, 5, 6, 7127 \frac{1}{2}, 24 quarts.

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Problem 7182

Calculate the total cost to pave a 2-mile, 20-foot-wide road at \$23.35 per linear foot.

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Problem 7183

Calculate the total cost to pave a 2-mile, 20-foot-wide road at \$23.35 per linear foot.

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Problem 7184

How many minutes of paperwork does a nurse spend per patient if they spend 2122 \frac{1}{2} hours on paperwork for 6 patients?

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Problem 7185

How much glucose is needed for 2 kg of a 5%5\% glucose solution? Options: 25g, 50g, 75g, 100g, 200g.

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Problem 7186

You ordered 10 quarts of juice but received 10 gallons. How much more did you get? A. 20 quarts B. 25 quarts C. 30 quarts D. 36 quarts E. 40 quarts

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Problem 7187

How many 12 oz mugs can be filled with 1.5 gallons of coffee? Options: A. 2 B. 12 C. 15 D. 16 E. 24

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Problem 7188

Multiply or divide these measurements, ensuring correct significant digits: 20.947 g/mL × 25 mL = \square g 996.90 mol ÷ 33.96 L = \square mol/L 978.4 g ÷ 0.53 mL = \square g/mL

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Problem 7189

Identify the property shown in the equation: 145=451 \cdot \frac{4}{5} = \frac{4}{5}.

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Problem 7190

You need 8 tons of straw for a project. Each bale weighs 800 pounds. How many bales do you need?

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Problem 7191

Multiply or divide these measurements, ensuring answers have correct significant digits:
1. 20.947gmL×25mL=g20.947 \frac{\mathrm{g}}{\mathrm{mL}} \times 25 \mathrm{mL} = \square \mathrm{g}
2. 996.90mol÷33.96L=molL996.90 \mathrm{mol} \div 33.96 \mathrm{L} = \square \frac{\mathrm{mol}}{\mathrm{L}}
3. 978.4g÷0.53mL=gmL978.4 \mathrm{g} \div 0.53 \mathrm{mL} = \square \frac{\mathrm{g}}{\mathrm{mL}}

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Problem 7192

Calculate the following:
1) 78.08molL×40L=mol78.08 \frac{\mathrm{mol}}{\mathrm{L}} \times 40 \mathrm{L} = \square \mathrm{mol}
2) 0.93molL×2.025L=mol0.93 \frac{\mathrm{mol}}{\mathrm{L}} \times 2.025 \mathrm{L} = \square \mathrm{mol}
3) 599.25m÷42.528s=ms599.25 \mathrm{m} \div 42.528 \mathrm{s} = \square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 7193

Calculate the cost difference per foot between Sticky tape at \$2.25 for 5 yards and Tacky tape at \$3.90 for 5 yards.

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Problem 7194

Calculate the following: 15.707 g - 1.47 g, 6.727 g + 1.40 g, and 8.87 g - 0.600 g.

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Problem 7195

Calculate the following: 8.627 mL + 1.77 mL = ?, 2.900 mL + 18.8 mL = ?, 15.82 mL - 0.577 mL = ?

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Problem 7196

Calculate the following: 1) 10.970 g1.17 g=10.970 \mathrm{~g}-1.17 \mathrm{~g}= ? 2) 3.907 g1.57 g=3.907 \mathrm{~g}-1.57 \mathrm{~g}= ? 3) 17.50 g+0.7 g=17.50 \mathrm{~g}+0.7 \mathrm{~g}= ?

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Problem 7197

Arrange the tiles 1, 2, 3, 4, 5, and 6 to create the largest whole number. Provide your answer in standard and expanded form.

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Problem 7198

Calculate the following: 15.527 g - 1.5 g = \square g, 13.900 g + 0.87 g = \square g, 1.920 g - 0.8 g = \square g.

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Problem 7199

Multiply or divide these measurements:
1. 78.08molL×40L=mol78.08 \frac{\mathrm{mol}}{\mathrm{L}} \times 40 \mathrm{L} = \square \mathrm{mol}
2. 0.93molL×2.025L=mol0.93 \frac{\mathrm{mol}}{\mathrm{L}} \times 2.025 \mathrm{L} = \square \mathrm{mol}
3. 599.25m÷42.528s=ms599.25 \mathrm{m} \div 42.528 \mathrm{s} = \square \frac{\mathrm{m}}{\mathrm{s}}

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Problem 7200

Calculate the following: 15.700 mL13.80 mL=mL15.700 \mathrm{~mL}-13.80 \mathrm{~mL}=\square \mathrm{mL}, 8.70 mL+17.6 mL=mL8.70 \mathrm{~mL}+17.6 \mathrm{~mL}=\square \mathrm{mL}, 16.920 mL+0.5 mL=mL16.920 \mathrm{~mL}+0.5 \mathrm{~mL}=\square \mathrm{mL}.

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