Numbers & Operations

Problem 8601

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UNIT 7 LESSON 14 Number Theory and Fractions Number Theory and Fractions Mark as Comp COURSE OUTLINE
Number Theory and Fractions Unit Test COURSE TOOLS
A track team needed to run or jog 20 laps for their practice. Of the total 20 laps, Sara completed 45\frac{4}{5}, Jamie completed 58\frac{5}{8}, Keenan completed 59\frac{5}{9}, Maya completed 0.833 , and Trey completed 0.875 . Identify the descending numeric order of the laps completed. Be sure to input the original form of each number. (2 points) Item 8 Item 9 Item 10 ftem 11 liem 12 Item 13 Rem 14

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Problem 8602

Consider the numbers 13, 16, 27, and 41. a. Which of these numbers are prime? How do you know? b. Which of these numbers are composite? How do you know? (2 points)

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Problem 8603

- 251 copies of 57\frac{5}{7} Factio 110\frac{1}{10} is 6
5. 3 copies

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Problem 8604

Read the problem. Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use? Pick the model that represents the problem.
What percent of the water balloons did Jamal use? \square \% Submit

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Problem 8605

On effectue une augmentation de 8%8 \% puis une augmentation de 13%13 \%.
Détermine l'évolution globale.
Ta réponse: L'évolution globale est une diminution de .... \% Complète ta réponse: diminution - Arrondi à l'unité près.

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Problem 8606

1,950 is 195%195 \% of what number?

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Problem 8607

Multiply. Write your answer as a fraction or as a w 12×13×12=\frac{1}{2} \times \frac{1}{3} \times \frac{1}{2}= \square
Submit

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Problem 8608

12%-12 \%
On effectue une réduction de 12%12 \% Détermine l'évolution réciproque.

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Problem 8609

Add. 36+712=\frac{3}{6}+\frac{7}{12}= \square
Use the model to help you. \begin{tabular}{|c|c|c|} \hline1\frac{1}{\mid} & 16\frac{1}{6} & 16\frac{1}{6} \\ \hline \end{tabular} ++\begin{tabular}{|l|l|l|l|l|l|l|} \hline112\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}

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Problem 8610

Find the number that makes the ratio equivalent to 72:2472: 24. \square :2 Submit

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Problem 8611

Evaluate the expressions. 30=2(35)0=\begin{array}{r} 3^{0}= \\ -2\left(\frac{3}{5}\right)^{0}= \end{array}

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Problem 8612

Evaluate the expression. 262^{6} CLEAR CHECK
12 26
36 64

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Problem 8613

Evaluate the expression. 3+(5÷1)3+(5 \div 1)

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Problem 8614

Evaluate the expression. 2+1.42+1.4

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Problem 8615

13. A submarine descends to a depth of 660 feet below the surface in 11 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute? (Example 2)

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Problem 8616

Andrew walked 24 laps during a walkathon to raise money for his school's art department. Each lap was 14\frac{1}{4} of a mile, and Andrew's dad donated $5.25\$ 5.25 for every mile that Andrew walked. How much money did Andrew's dad donate? \ \square$

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Problem 8617

Look at the following inequalities. 1,000,000>723,0<723,22>7231,000<723,1819<723,723>0.2723<12,723<416\begin{array}{l} 1,000,000>\frac{7}{23}, 0<\frac{7}{23}, 22>\frac{7}{23} \\ -1,000<\frac{7}{23},-\frac{18}{19}<\frac{7}{23}, \frac{7}{23}>0.2 \\ \frac{7}{23}<\frac{1}{2}, \frac{7}{23}<4 \frac{1}{6} \end{array} a. Which of the numbers above are the right of 723\frac{7}{23} on a number line \qquad b. Which of the numbers above are the left of 723\frac{7}{23} on a number line?

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Problem 8618

jelect all ratios equivalent to 5:45: 4. 11:211: 2 60:4860: 48 3:6

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Problem 8619

Le SMIC horaire a augmenté de 48%48 \% en un an. Calculer le pourcentage d'évolution réciproque. On arrondira le résultat à 0,1%0,1 \% près.

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Problem 8620

Evaluate the expression. 62+756^{2}+7-5

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Problem 8621

Un minerai fournit 20 \% de sa masse en fonte.
Quelle quantité de minerai faut-il pour obtenir 1560 kg de fonte? On donnera la réponse sous la forme d'un entier positif ou d'un nombre décimal arrondi au centième suivi de l'unitéqui convient. Valider Suivant

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Problem 8622

1. Adding and Subtracting Rational Numbers A. Sketch a Venn diagrant to show all of the sets and subsets of numbers that you know. Use your Venn diagram to decide whether each statement is true or false. Explain your reasoning,
1. All integers are included in the set of natural numbers. False. 0 is an inierger but is not inciuded in the ser of naturaul numbers
2. All whole numbers are included in the set of integers. True. whole number s include 0
3. All rational numbers are included in the
4. 29\frac{2}{9} is included in the set of integers. set of whole numbers.
5. -3 is included in the set of
6. 35\frac{3}{5} is included in the set of rational numbers. rational numbers. True. 3 is a number form being eaval to "o" which is the clefenition of rationall F

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Problem 8623

Last month, Ed spent $50\$ 50 in all. He spent 40%40 \% of the money at the movies. How much money did Ed spend at the movies?
Pick the model that represents the problem.
How much money did Ed spend at the movies? \$

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Problem 8624

Evaluate the expression. (6+3)(7÷7)(6+3) \cdot(7 \div 7)

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Problem 8625

45,1245,12
Factors of 45 Factors of 12 \qquad \qquad —, \qquad , \qquad \qquad \qquad \qquad , \qquad

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Problem 8626

2) 18,21
Factors of 18 Factors of 21 \qquad \qquad \qquad \qquad - \qquad \qquad \qquad , \qquad 3) 14,39
Factors of 14 \qquad , \qquad , \qquad Factors of 39 \qquad \qquad \qquad \qquad 4) 15,18
Factors of 15 \qquad , \qquad , \qquad Factors of 18 \qquad \qquad \qquad \qquad 5) 3,12
Factors of 3 \qquad , \qquad Factors of 12 \qquad '—, \qquad ,

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Problem 8627

2) 18,21
Factors of 18 Factors of 21 3) 14,39
Factors of 14 Factors of 39 1) 15,18
Factors of 15 Factors of 18 3, 12 Factors of 3 Factors of 12

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Problem 8628

Evaluate the expression. 10+3+91010+3+9-10 \square

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Problem 8629

Order these numbers from least to greatest. 18724,49,7.7,71517\frac{187}{24}, \sqrt{49}, 7 . \overline{7},-7 \frac{15}{17}
Note that for this question you can use your mouse to drag the 18724\frac{187}{24} 49\sqrt{49} 7.77 . \overline{7} 71517-7 \frac{15}{17} II

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Problem 8630

A Exploring Rati... BOOKMARK CHECK ANSWER AY HOL... LAY STOP
A notebook costs $4.50\$ 4.50 plus sales tax. After sales tax, the notebook is $4.86\$ 4.86. What is the sales tax rate?

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Problem 8631

A Exploring Rati... BOOKMARK CHECK ANSWER
PLAY 0
A $79\$ 79 television is on sale for $65\$ 65. What percent discount was given?

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Problem 8632

256 is what percent of 400

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Problem 8633

2 \longdiv { 5 8 7 }
Jurces at SavvasRealize.com

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Problem 8634

8. 8 \longdiv { 7 4 7 } pic 5 | Lesson 5-8 299

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Problem 8635

(5.8×105)+(7.2×104)\left(5.8 \times 10^{5}\right)+\left(7.2 \times 10^{4}\right)

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Problem 8636

Evaluate aba \cdot b if a=6a=6 and b=4b=4

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Problem 8637

0.6×0.3=0.6 \times 0.3=

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Problem 8638

Think About the Process Karen purchased a DVD player on sale. The original selling price was $179.30\$ 179.30. The sale price was $154.15\$ 154.15. What is the first step in finding the percent markdown? Find the percent markdown.
What is the first step in finding the percent markdown? A. Find the markdown. B. Find the cost. C. Find the greatest markdown possible.
The percent markdown was \square \%. (Round to the nearest whole number as needed.)

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Problem 8639

(7.9×107)(3.3×107)\left(7.9 \times 10^{7}\right)-\left(3.3 \times 10^{7}\right)

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Problem 8640

Put these numbers in order from least to greatest. 1.94 58\frac{5}{8} 0.33
Submit

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Problem 8641

Problem Solving Write the correct answer.
1. In 2002, U.S. consumers bought about 8.1 million new cars. In 2003, that number decreased by about 6%6 \%. To the nearest hundred thousand, or tenth of a million, how many new cars did U.S. consumers buy in 2003?

7500000

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Problem 8642

Mayumi rides her bike around a park. Each lap around the park is 23\frac{2}{3} mi. Mayumi rides a total of 3 mi .
How many laps around the park does Mayumi ride? Write your answer as a whole number of laps, plus a fraction of a lap. You can use the model to help.
Mayumi rides whole laps, plus ? of a lap. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{3}{|c|}{\cdot \cdots} & xx \\ \hline 7 & 8 & 9 & xx \\ \hline 4 & 5 & 6 & - \\ \hline 1 & 2 & 3 & - \\ \hline 0 & & -1 & \square \\ \hline \end{tabular} Sign out Dec 3 71.54

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Problem 8643

(107)+16\left(-\frac{10}{7}\right)+\frac{1}{6}

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Problem 8644

Measurement Word problem involving a conversion between U.S. Customary units of ...
Rachel is ordering 3 bags of cat food from Canada. Each bag has a mass of 5 kg . To determine the shipping costs, Rachel needs to know the total weight in pounds. What is the weight of the cat food in pounds?
Use 1 kg=2.2lb1 \mathrm{~kg}=2.2 \mathrm{lb} and do not round any computations. \square 16

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Problem 8645

Tyron harvested 6,680 pounds last year and 972 pounds less this year. How many pounds did he harvest this year?

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Problem 8646

Taco del Tierra has 3 tortillas, 3 meats, 3 cheeses, and 9 salsas. How many taco combinations can you make? 8181

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Problem 8647

Sung needs to buy more candy to fill a pinata with 314 pieces, starting with 91 pieces. How much more does he need?

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Problem 8648

Calculate the total possible license plates with 2 letters and 5 digits. Use: 262×10526^2 \times 10^5.

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Problem 8649

Simplify [(8y)+(8y)+(8y)]÷2[(8y)+(8y)+(8y)] \div 2 and provide the answer.

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Problem 8650

Calculate Social Security, Medicare taxes, and FIT for Jordon Barrett, earning \$12,400 monthly with prior earnings of \$142,020.

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Problem 8651

Write 2,368 in expanded and word form: 2,000+300+60+82,000 + 300 + 60 + 8 and "two thousand three hundred sixty-eight."

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Problem 8652

What is the money multiplier if the reserve rate is set to 5%5\%? A. 50 B. 5 C. 20 D. 2

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Problem 8653

What was Rottweiler Obedience School's net capital spending for 2022 given net fixed assets of \$1,795,000 and \$2,180,000 with \$335,000 depreciation? Round to the nearest whole number.

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Problem 8654

Write 2,368 in expanded form as 2000+300+60+82000 + 300 + 60 + 8 and in word form as "two thousand three hundred sixty-eight."

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Problem 8655

Bing, Inc. has assets of \$2,270 (current) + \$10,300 (fixed) and liabilities of \$1,400 (current) + \$4,080 (long-term). Find: a. Shareholders' equity b. Net working capital

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Problem 8656

Lesson 2 Homework: Calculate 434 \cdot 3.

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Problem 8657

Calculate: 1276\frac{1}{2} \cdot 7 \cdot 6

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Problem 8658

Evaluate abc+d\frac{a}{b}-c+d for a=78,b=716,c=0.8,d=14a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}. What is the result?

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Problem 8659

Evaluate abc+d\frac{a}{b}-c+d for a=78,b=716,c=0.8a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, and d=14d=\frac{1}{4}. Give the answer as a mixed number.

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Problem 8660

Evaluate abc+d\frac{a}{b}-c+d for a=78,b=716,c=0.8a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=14d=\frac{1}{4}. Express as a mixed number.

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Problem 8661

How deep is Lake Baikal if Crater Lake is 1,932 feet deep and Baikal is 3,383 feet deeper? Solve: 1,932+3,3831,932 + 3,383.

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Problem 8662

Solve using the Order of Operations: 7) (63)3+822(\frac{6}{3})^{3}+8-2^{2} 8) [(12÷3)+2]4[(12 \div 3)+2]^{4} 9) (93)22+10(9 \cdot 3)-2^{2}+10 10) 3+6(24)-3+6-(-2 \cdot-4)

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Problem 8663

What is the cost difference for a one-night stay at Sleepy Head Motel with breakfast ($142\$ 142) vs. without ($119\$ 119)?

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Problem 8664

Find the change in net working capital (NWC) from 2021 to 2022 using current assets and liabilities:
2021: assets = \$1,165, liabilities = \$945; 2022: assets = \$1,380, liabilities = \$1,055.

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Problem 8665

What is Mark's height if the boys are 152.0 cm, 150.75 cm, 149.5 cm, and 149.25 cm, with Josh being the shortest?

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Problem 8666

Evaluate a+b+cda+b+c d for a=78,b=716,c=0.8,d=14a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}. Write your answer as a fraction.

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Problem 8667

Four boys have heights of 152.0 cm,150.75 cm,149.5 cm152.0 \mathrm{~cm}, 150.75 \mathrm{~cm}, 149.5 \mathrm{~cm}, and 149.25 cm149.25 \mathrm{~cm}. Find Mark's height.

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Problem 8668

What three numbers between 0.68 and 0.69 could Mario have written? Choose the correct option.

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Problem 8669

Match decimals from Set A to Set B: 0.48, 1.20, 1.09, 0.046 with 1.200, 1.090, 0.046, 0.480.

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Problem 8670

What three numbers did Mario write between 0.68 and 0.69? Choose the correct set: A. 0.686,0.693,0.6940.686,0.693,0.694 B. 0.693,0.694,0.6980.693,0.694,0.698 C. 0.682,0.686,0.6880.682,0.686,0.688 D. 0.682,0.688,0.6940.682,0.688,0.694

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Problem 8671

Devon lost 3 pounds per month for 7 months. What is the total weight change? Use 3×73 \times 7.

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Problem 8672

Calculate the following expressions: a. 3(2+6)2\frac{3(2+6)}{2} b. 12(14)(5)\frac{1}{2}(14)(5) c. 72527^{2}-5^{2} d. 1762+4÷217-6 \cdot 2+4 \div 2

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Problem 8673

Round 2,7222,722 to the closest ten.

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Problem 8674

Calculate 39÷(13)739 \div(-13) \cdot 7.

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Problem 8675

Round the number 88,99988,999 to the closest ten.

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Problem 8676

Round 706,421706,421 to the nearest ten.

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Problem 8677

Estimate the length of a human stride, given it's about 1.44 m1.44 \mathrm{~m}. Choose: (A) 1100 m1 \cdot 10^{0} \mathrm{~m} or (B) 1101 m1 \cdot 10^{1} \mathrm{~m}.

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Problem 8678

Calculate 41041100\frac{4 \cdot 10^{4}}{1 \cdot 10^{0}}.

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Problem 8679

Express 19 in scientific notation. Choose between 2×1012 \times 10^{1} and 1×1011 \times 10^{1}. Which is closer to 19?

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Problem 8680

Calculate 12+(32)-\frac{1}{2} + \left(-\frac{3}{2}\right).

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Problem 8681

Simplify the expression: 63\frac{\sqrt{6}}{\sqrt{3}}

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Problem 8682

Find the sum of -8, -3, and 12: 8+3+12=-8 + -3 + 12 =

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Problem 8683

Xavier saw 23 birds on Monday, 14 each on Tuesday and Wednesday, 16 on Thursday, and 8 on Friday. What is the average?

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Problem 8684

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si inicias a medianoche del 1 de enero de 2000, ¿cuándo será el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

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Problem 8685

The ratio of union to nonunion members is 3:5. If there are 85 nonunion members, find the total number of employees.

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Problem 8686

A fish serving has 50 g50 \mathrm{~g} protein and 4 g4 \mathrm{~g} fat. Calculate total kcal: 4kcal/g4 \mathrm{kcal/g} for protein and 9kcal/g9 \mathrm{kcal/g} for fat.

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Problem 8687

For a field trip, the adult to student ratio is 2:9.
d) If 45 students attend, how many adults are needed? e) If 18 adults volunteer, how many students can attend? f) What two equivalent ratios to 2:92:9 can you find?

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Problem 8688

Find the 4-digit ATM code for Mr. Nolan using the prime factors of 84 in increasing order.

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Problem 8689

If 45 students attend, how many adults are needed if the ratio of adults to students is 2 to 9? Use a tape diagram and ratio table.

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Problem 8690

Simplify 72-7^{2} using exponent rules and provide the answer with only positive exponents.

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Problem 8691

If 18 adults volunteer, how many students can join the trip based on a 2:9 adult to student ratio? Use a tape diagram and ratio table.

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Problem 8692

Simplify 172-17^{2} using exponent rules and only show positive exponents.

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Problem 8693

Un comerciante visitó tres ferias, gastando \$30, \$54 y \$72, y regresó con \$48. ¿Ganó o perdió dinero? ¿Cuánto?

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Problem 8694

Un comerciante visitó 3 ferias. Comenzó con xx, terminó con \$48. ¿Cuánto ganó o perdió después de gastar en cada feria?

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Problem 8695

Un comerciante visitó 3 ferias, duplicó, triplicó y cuadruplicó su dinero, gastando \$30, \$54 y \$72. Regresó con \$48. ¿Ganó o perdió dinero?

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Problem 8696

What is the result of dividing 213 by 20? Calculate 213÷20213 \div 20.

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Problem 8697

Find the 4-digit ATM code for Mr. Nolan using the prime factors of 84 listed in order.

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Problem 8698

Simplify the expression: 1522132016\frac{1}{5 \frac{2 \sqrt{213}}{2016}}

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Problem 8699

Calculate 13020130 - 20.

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Problem 8700

Calculate 5,621÷205,621 \div 20.

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