Numbers & Operations

Problem 7301

\begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|l|}{ Transformez les chiffres périodiques suivants en fraction: } \\ \hline 0.6666.0.6666 \ldots .. & 1.2222.1.2222 \ldots \ldots .. & 1.3331.333 \ldots \ldots \\ \hline & & \\ \hline 0.454545450.45454545 \ldots \ldots. & 0.846153846153846153 & \\ \hline & & \\ \hline \end{tabular}

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Problem 7302

If $2,000\$ 2,000 is depositied into a bank by a customer and the required reserve ratio is 10%10 \%, the bank's Actual reserves increase $2000\$ 2000 Required reserves increase $200\$ 200 Excess reserves increase $1800\$ 1800 All the above changes in reserves will occur

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Problem 7303

Use the equivalent fraction chart to answer questions 1-3. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{12}{|c|}{1} \\ \hline \multicolumn{6}{|c|}{12\frac{1}{2}} & \multicolumn{6}{|c|}{12\frac{1}{2}} \\ \hline \multicolumn{4}{|c|}{13\frac{1}{3}} & \multicolumn{4}{|c|}{13\frac{1}{3}} & \multicolumn{4}{|c|}{13\frac{1}{3}} \\ \hline \multicolumn{3}{|c|}{14\frac{1}{4}} & \multicolumn{3}{|c|}{14\frac{1}{4}} & \multicolumn{3}{|c|}{14\frac{1}{4}} & \multicolumn{3}{|c|}{14\frac{1}{4}} \\ \hline & 15\frac{1}{5} & \multicolumn{3}{|c|}{15\frac{1}{5}} & \multicolumn{2}{|l|}{15\frac{1}{5}} & \multicolumn{2}{|r|}{15\frac{1}{5}} & \multicolumn{3}{|c|}{15\frac{1}{5}} \\ \hline & & \multicolumn{2}{|c|}{16\frac{1}{6}} & \multicolumn{2}{|c|}{16\frac{1}{6}} & \multicolumn{2}{|l|}{16\frac{1}{6}} & \multicolumn{2}{|l|}{16\frac{1}{6}} & \multicolumn{2}{|l|}{16\frac{1}{6}} \\ \hline 18\frac{1}{8} & & 18\frac{1}{8} & 18\frac{1}{8} & \multicolumn{2}{|r|}{18\frac{1}{8}} & 18\frac{1}{8} & \multicolumn{2}{|r|}{18\frac{1}{8}} & 18\frac{1}{8} & \multicolumn{2}{|r|}{18\frac{1}{8}} \\ \hline 19\frac{1}{9} & \multicolumn{2}{|r|}{19\frac{1}{9}} & 19\frac{1}{9} & 19\frac{1}{9} & 19\frac{1}{9} & & 19\frac{1}{9} & 19\frac{1}{9} & & & 19\frac{1}{9} \\ \hline 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} & 112\frac{1}{12} \\ \hline \end{tabular}
1 Which fractions are NOT equivalent to 23\frac{2}{3} ? Circle SEVEN answers. 46\frac{4}{6} 35\frac{3}{5} \square \square 12\frac{1}{2} \square 45\frac{4}{5} 58\frac{5}{8} 48\frac{4}{8} 34\frac{3}{4} 69\frac{6}{9} \square 2 Marquis needs to name all the fractions shown on the chart that are equivalent to 12\frac{1}{2}. Which list shows these fractions? A 24,36,59,612\frac{2}{4}, \frac{3}{6}, \frac{5}{9}, \frac{6}{12} B 24,36,48\frac{2}{4}, \frac{3}{6}, \frac{4}{8} C 36,612\frac{3}{6}, \frac{6}{12} D 24,36,48,612\frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \frac{6}{12} 3 Which row of fractions in the fraction chart has no equivalent fractions shown? A The row of thirds B The row of fifths C The row of sixths D The row of ninths

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Problem 7304

5 Which statement about the fractions 36\frac{3}{6} and 510\frac{5}{10} is true?
A These fractions are not equivalent, because they are less than 12\frac{1}{2}.
B These fractions are equivalent, because their numerators are half their denominators. C These fractions are equivalent, because their numerators are twice their denominators. D These fractions are not equivalent, because they are greater than one.

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Problem 7305

Shelly has four different lengths of hair clips. She wants to wear a clip with a length equivalent to 1416\frac{14}{16} inch. Which length clip should Shelly choose?
A 34in\frac{3}{4} \mathrm{in}. C 78in\frac{7}{8} \mathrm{in}. B 68\frac{6}{8} in. D 12\frac{1}{2} in.

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Problem 7306

5 Ordina i numeri nel riquadro, dal più piccolo al più grande. Aggiungi zeri se serve. a) 0,0,10,090,100,110,020,0,1 \quad 0,09 \quad 0,10 \quad 0,11 \quad 0,02 b) 2,0212,0020,0202,2021,22,021 \quad 2,002 \quad 0,020 \quad 2,202 \quad 1,2

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Problem 7307

In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs \2.831USgallon=3.785litres2.83 - 1 US gallon = 3.785 litres - £ 1=\1.46 1.46
In which city is petrol better value for money, London or New Yor You must show your working.

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Problem 7308

Calcolare il resto della divisione di 5535^{53} per 42. Soluzione. Calcolare il resto della divisione equivale a trova

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Problem 7309

7 Scrivi in cifre. a) 8 unità e2e 2 centesimi b) 3 decine e 4 decimi c) 0 unità 7 millesimi d) 1 centinaio e 34 millesimi.

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Problem 7310

a) Qual è il più piccolo numero con due cifre decimali che soddisfa la condizione n4,2n \geq 4,2 ? b) Quale numero sulla retta si trova alla stessa distanza dai numeri 0,53 e 0,56 ?

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Problem 7311

Virginia Beach City Public Schools Math 7>7> Convert customary and metric units using proportions DPY
Which proportion could you use to convert 5 kilograms to grams? 10 grams 1 kilogram =? grams 5 kilograms 1,000 grams 1 kilogram =? grams 5 kilograms \frac{10 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{5 \text { kilograms }} \quad \frac{1,000 \text { grams }}{1 \text { kilogram }}=\frac{? \text { grams }}{5 \text { kilograms }}
Convert. 5 kilograms = \square grams Submit

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Problem 7312

Which proportion could you use to convert 3.5 gallons to cups? 16 cups 1 gallon =? cups 3.5 gallons 16 cups 1 gallon =3.5 gallons ? cups \frac{16 \text { cups }}{1 \text { gallon }}=\frac{? \text { cups }}{3.5 \text { gallons }} \quad \frac{16 \text { cups }}{1 \text { gallon }}=\frac{3.5 \text { gallons }}{? \text { cups }}
Convert. 3.5 gallons == \square cups Submit

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Problem 7313

4. The pet store had 6 puppies selling for 104 dollars each, and 12 kittens for 24 dollars each. Today, only 3 puppies and 8 kittens were left. In dollar terms, what was the ratio of sales of puppies to kittens? A. 13 to 3 B. 11 to 1 C. 8 to 7 D. 1 to 3

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Problem 7314

CHAPTER-4 Pow
4. Express each of the following in expanded form. a) 5600 C) 93.32 e) 0.0105 b) 70900=70000+90070900=70000+900 d) 0.00432 g) 49000000 f) 6.78 a3=5000a_{3}=5000 \quad h) 0.651
5. Write each of the 000(5×1000)+(6×100)000 \quad(5 \times 1000)+(6 \times 100) a) 5.7×1045.7 \times 10^{4} c) 9.7×1029.7 \times 10^{-2} b) 6.32×1036.32 \times 10^{3} e) 4.52×1054.52 \times 10^{-5} d) 8.1×1038.1 \times 10^{-3} f) 8.6×1058.6 \times 10^{5}.

Write the following in standard notation. a) 379 b) 60800 c) 0.379 d) 0.00254 .
Write each of the following in scientific notation. a) 4679 b) 937.4 c) 9300000 d) 0.000546 e) 0.00709 f) 45.9

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Problem 7315

\text{Write the recurring decimal } 99.9\overline{9} \text{ as a fraction in its lowest terms.}

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Problem 7316

Una persona mide la temperatura del agua y obtiene 2525^{\circ} C. ¿Cuál es esta temperatura en grados Fahrenheit?

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Problem 7317

Calculate the percentage of antimony in a bullet with 0.5g0.5-\mathrm{g} lead, 10.7g10.7-\mathrm{g} tin, and 1.5g1.5-\mathrm{g} antimony.

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Problem 7318

Find the percentage of tin in a bullet with 11.4 g11.4 \mathrm{~g} lead, 0.1 g0.1 \mathrm{~g} tin, and 0.7 g0.7 \mathrm{~g} antimony.

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Problem 7319

What percent of 65.52 marbles are not blue if 32.0 are blue? Include the unit symbol in your answer.

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Problem 7320

Sam compares fridge prices. (a) Superstore marks up 40\% on \$699. (b) Dept. store marks up 60\% then gives 20\% off. (c) Which is true?

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Problem 7321

Calculate the percentage of lead in a bullet with 12.7g12.7-\mathrm{g} lead, 0.3g0.3-\mathrm{g} tin, and 0.8g0.8-\mathrm{g} antimony.

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Problem 7322

Sam compares refrigerator prices.
(a) Superstore marks up $699\$ 699 by 40%40\%. What is the price? $\$ \square
(b) Department store marks up $699\$ 699 by 60%60\% and gives a 20%20\% discount. What is the price? $\$ \square
(c) Which is true?
1. Superstore price is higher.
2. Department store price is higher.
3. Prices are the same.

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Problem 7323

Realiza las siguientes operaciones: a) 4×25=\sqrt{4 \times 25}= c) 273=\sqrt[3]{-27}=

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Problem 7324

Fill in the blank: If a<b\mathbf{a}<\mathrm{b}, then a\mathrm{a} is located to the ___ of bb on a number line.

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Problem 7325

Linda wants the best deal on a tablet priced at \$829. Calculate:
(a) Store price after 40% discount and an extra 20% coupon. (b) Website price after 60% discount (no coupon). (c) Which is more: store price, website price, or are they the same?

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Problem 7326

Determine if this statement is true or false: The sum of a positive integer and a negative integer is always positive.

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Problem 7327

Calculate the inflation rate from year 1 (36.00)toyear2(36.00) to year 2 (36.75) and round to one decimal place.

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Problem 7328

Is the statement "The product of a positive integer and a negative integer is never a positive integer" true or false?

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Problem 7329

Select << or >> to make the statement true: -12 ? -11. Choose: << or >>.

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Problem 7330

Plot the point 4-4 on the number line.

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Problem 7331

Choose << or >> to make this true: -146 ? 0.

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Problem 7332

Select << or >> to make the statement true: 14?1-14 ? 1. Choose: << or >>.

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Problem 7333

Calculate the absolute value: What is 17|-17|?

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Problem 7334

Calculate the total cost to remodel an apartment: 3 cans of paint at \$13.22, 2 brushes at \$1222, and \$15 for help.

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Problem 7335

Find the absolute value of 11. What is 11|11|?

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Problem 7336

Calculate the absolute value of -17. What is 17|-17|?

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Problem 7337

Find the sum of 12 and -3: 12+(3)=12 + (-3) =

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Problem 7338

Calculate 10+(10)10 + (-10). What is the result?

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Problem 7339

Calculate the total cost for remodeling: 3 cans of paint at \$13.22, 2 brushes at \$12.22, and a helper for \$145.

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Problem 7340

Calculate the sum: 4+(4)=-4 + (-4) =

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Problem 7341

Calculate the sum: 3+(6)=3 + (-6) =

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Problem 7342

How many mL of a suspension with 250mg/5.0 mL250 \mathrm{mg}/5.0 \mathrm{~mL} are needed for a 0.125 g0.125 \mathrm{~g} dose of ampicillin?

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Problem 7343

Subtract: 6(1)=6 - (-1) =

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Problem 7344

Subtract the signed numbers by adding the opposite: 318=3 - 18 =

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Problem 7345

Calculate the result of the subtraction: 6(8)=-6 - (-8) =

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Problem 7346

Subtract: 17=-1 - 7 =

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Problem 7347

Calculate the product of -6 and -5: (6)(5)=(-6)(-5)=

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Problem 7348

Calculate the product of 3 and -2: (3)(2)=(3)(-2)=

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Problem 7349

Multiply: 0×(13)=0 \times (-13) =

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Problem 7350

Evaluate 10310^{3}.

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Problem 7351

Evaluate the expression: 24-2^{4}. What is the result?

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Problem 7352

Calculate the value of the expression (8)2(-8)^{2}. What is (8)2=?(-8)^{2}=?

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Problem 7353

Evaluate the expression (2)3(-2)^{3}.

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Problem 7354

Find the quotient of 44 and 1-1, or state if it is undefined. A. 41=\frac{4}{-1}= B. Undefined.

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Problem 7355

Find the quotient or state if it's undefined: 013\frac{0}{-13}. A. 013=\frac{0}{-13}=\square B. Undefined.

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Problem 7356

Find the quotient of 110\frac{-11}{0} or state if it's undefined. A. 110=\frac{-11}{0}=\square B. Undefined.

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Problem 7357

Calculate 6+746 + 7 \cdot 4. What is the result?

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Problem 7358

Find the quotient of 32-32 and 4-4, or state if it's undefined: 324\frac{-32}{-4}. A. 324=\frac{-32}{-4}= B. Undefined.

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Problem 7359

Evaluate the expression using order of operations: 7+(6)8=-7 + (-6) \cdot 8 = (simplify your answer).

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Problem 7360

Simplify the expression using order of operations: 62(5)96-2 \cdot(-5)-9. What is the result?

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Problem 7361

Find the value of the expression using order of operations: (6)3(4)=?(-6)-3(-4)=? (Simplify to an integer or fraction.)

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Problem 7362

Find the value of the expression using order of operations: 357(1284)=3|57-(-12-84)| = \square.

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Problem 7363

Simplify the expression using the order of operations: 4(4)22(6)2=4(-4)^{2}-2(-6)^{2}=

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Problem 7364

Cube -5 and subtract from -18. Simplify: -18 - (-5)^3.

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Problem 7365

Find the elevation difference between a mountain at 10,926 feet and a valley at -219 feet. What is the result in feet?

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Problem 7366

Express and simplify: -18 - (-5)³. What is the result?

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Problem 7367

Express "Subtract 4 from 3, multiply by 6, then square" as a numerical expression and simplify. Choose A, B, C, or D.

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Problem 7368

Find the mass of an object with a volume of 88.6 mL88.6 \mathrm{~mL} and a density of 2.22 g/mL2.22 \mathrm{~g/mL}.

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Problem 7369

Find the real interest rate if the nominal rate is 1%1\% and inflation is 2%2\%. Options: 2%-2\%, 1%-1\%, 0%0\%, 1%1\%, 2%2\%.

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Problem 7370

What is the wavelength in nm for light with a wavelength of 1.65×1010 m1.65 \times 10^{-10} \mathrm{~m}?

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Problem 7371

Reduce the fraction 48/56 to its simplest form. What is the result?

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Problem 7372

Calculate the sum of 235 and 138. What is 235+138235 + 138?

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Problem 7373

How do integers differ from whole numbers? Choose the correct answer: A. Whole numbers include negatives; integers do not. B. Integers include negatives; whole numbers do not. C. Integers include negatives and zero; whole numbers do not. D. Whole numbers include negatives; integers do not.

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Problem 7374

Convert the improper fraction 557-\frac{55}{7} to a mixed number.

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Problem 7375

Convert the fraction 38\frac{3}{8} to a decimal.

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Problem 7376

Convert 0.6 to a simplified fraction. What is the lowest terms fraction for 0.60.6?

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Problem 7377

Convert the decimal 0.660.66 to a fraction and simplify if possible.

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Problem 7378

Find the decimal form of 59\frac{5}{9}. Choose from: A. 9.59.\overline{5} B. 0.50.\overline{5} C. 0.5 D. 5.55.\overline{5}

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Problem 7379

Convert the decimal 0.575 into a simplified fraction.

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Problem 7380

Calculate the molarity of a solution made by dissolving 0.026 g of CuF₂ in 250 mL of water. Round to 2 significant digits.

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Problem 7381

Convert the fraction 1011\frac{10}{11} into a decimal. Choose the correct option. A. 0.900 . \overline{90} B. 0.190 C. 0.1900.1 \overline{90} D. 0.90

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Problem 7382

Calculate the kilograms of calcium in a 165-pound man if calcium makes up 1.4%1.4\% of body mass.

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Problem 7383

Calculate the concentration in mol/L of a solution made by dissolving 288 g of FeBr₂ in 400 mL of water. Round to 3 significant figures.

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Problem 7384

Multiply and simplify: (57)(1415)= \left(-\frac{5}{7}\right)\left(-\frac{14}{15}\right) = (Reduce to lowest terms.)

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Problem 7385

Multiply and simplify: 21127\frac{2}{11} \cdot \frac{2}{7}. Provide your answer as an integer or simplified fraction.

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Problem 7386

Multiply and simplify: 427×123=_4 \frac{2}{7} \times 1 \frac{2}{3} = \_ (Provide as an integer, proper fraction, or mixed number.)

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Problem 7387

An item costs \$ 480 before tax, with a sales tax of \$ 43.20. What is the sales tax rate in percentage?

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Problem 7388

Calculate the concentration in mol/L of a solution made by dissolving 12 g of NaCl in 400 mL of water. Round to 2 sig. figs.

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Problem 7389

Divide and simplify: 611÷722=\frac{6}{11} \div \frac{7}{22} = (Provide a whole number, proper fraction, or mixed number.)

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Problem 7390

Calculate and simplify: 79346÷32+34\frac{\frac{7}{9}-3}{\frac{4}{6}} \div \frac{3}{2}+\frac{3}{4}.

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Problem 7391

Calculate and simplify: 118(518)\frac{1}{18}-\left(-\frac{5}{18}\right). What is the result?

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Problem 7392

Determine the ingredient amounts to make 8 brownies from the list for 16 brownies. How much butter is needed?

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Problem 7393

Convert 90 cm390 \mathrm{~cm}^{3} to m3\mathrm{m}^{3}.

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Problem 7394

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients: - 13\frac{1}{3} cup butter - 3 ounces unsweetened chocolate - 34\frac{3}{4} cups sugar - 1121 \frac{1}{2} teaspoons vanilla - 2 eggs - 23\frac{2}{3} cup flour
Find the amount of butter needed.

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Problem 7395

How much of each ingredient is needed to make 8 brownies if the original recipe makes 16? Use 13\frac{1}{3} cup butter, 8 oz chocolate, 34\frac{3}{4} cup sugar, 1121 \frac{1}{2} tsp vanilla, 2 eggs, 23\frac{2}{3} cup flour, and find 16\frac{1}{6} cup butter needed.

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Problem 7396

A person needs to know how many liters of water for a 15 km walk in Death Valley, needing 1 quart per 2 miles.

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Problem 7397

To make 8 brownies from a recipe for 16, calculate ingredient amounts needed. Find butter: 16\frac{1}{6} cup, chocolate: ? ounces.

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Problem 7398

Calculate the Elixophyllin® dose in mg for a 115-lb person, given the dose is 6.00mg/kg6.00 \mathrm{mg} / \mathrm{kg}.

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Problem 7399

How much of each ingredient is needed to make 8 brownies from the list for 16 brownies?
Ingredients for 16 brownies: - 13\frac{1}{3} cup butter - 3 ounces unsweetened chocolate - 34\frac{3}{4} cups sugar - 1121 \frac{1}{2} teaspoons vanilla - 2 eggs - 23\frac{2}{3} cup flour

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Problem 7400

Find the ingredient amounts to make 8 brownies from the following for 16 brownies:
- 13\frac{1}{3} cup butter - 3 oz chocolate - 34\frac{3}{4} cup sugar - 1121 \frac{1}{2} tsp vanilla - 2 eggs - 23\frac{2}{3} cup flour.
Provide simplified quantities.

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