Numbers & Operations

Problem 9601

5.14+56=345. \frac{1}{4} + \frac{5}{6} = \frac{3}{4}

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Problem 9602

25+12=910\frac{2}{5} + \frac{1}{2} = \frac{9}{10}

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Problem 9603

Fractionville (MUST SHOW WORK) Evaluate & simplify: 94+3 -\frac{9}{4} + 3

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Problem 9604

6. Complete the table using division to find ratios that are equivalent to 40:28.

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Problem 9605

Unt 9 Fractions Homewonk \#13
Solve Multi-Term Fraction Problems Estimate, then solve. Write your answer as a mixed number in simplest form. 3.) 734+127+32=7 \frac{3}{4}+1 \frac{2}{7}+\frac{3}{2}= 2.) 316+34+56=3 \frac{1}{6}+\frac{3}{4}+\frac{5}{6}= 7 \square
Sent + 4.) 956+114+=149 \frac{5}{6}+1 \frac{1}{4}+\square=14 9569 \frac{5}{6} 11a1 \frac{1}{a}

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Problem 9606

Evaluate the expression.
8+10+[10÷(10×8÷8)]8 + 10 + [10 \div (10 \times 8 \div 8)]

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Problem 9607

The Parks department budgeted \$675 to buy new wooden benches for the town parks. If the benches both cost \$45 each, how many benches will the parks department buy?

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Problem 9608

2. 1234÷214=-12\frac{3}{4} \div -2\frac{1}{4}=

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Problem 9609

3. Use words to write two different ratios that can't be converted to fractions: \qquad \qquad

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Problem 9610

Convert the measurement.
55 yd == ______ inches
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Problem 9611

Evaluate 6(9)÷3-6-(-9) \div 3

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Problem 9612

Which expression is equivalent to (8105)+(6105)5.6103\frac{(8 \cdot 10^{-5}) + (6 \cdot 10^{-5})}{5.6 \cdot 10^{-3}}?
A. 2.51072.5 \cdot 10^{-7} B. 2.51022.5 \cdot 10^{-2} C. 2.51082.5 \cdot 10^{8} D. 2.51082.5 \cdot 10^{-8}

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Problem 9613

In the bleachers at the basketball game, 14 of the fans are adult men, and 512 are adult women. What fraction of the fans are adults? What fraction of the fans are children?\text{In the bleachers at the basketball game, } \frac{1}{4} \text{ of the fans are adult men, and } \frac{5}{12} \text{ are adult women. What fraction of the fans are adults? What fraction of the fans are children?}

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Problem 9614

Command 3: Start at 13\frac{1}{3}. Move 112\frac{1}{12} to the right.
First, choose a common denominator for 13\frac{1}{3} and 112\frac{1}{12}.
12
Next, rewrite the command to show how many twelfths are in 13\frac{1}{3}.
New Command 3: Start at 12\frac{\Box}{12}. Move 112\frac{1}{12} to the right.

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Problem 9615

Find the unit rate. 213421 \frac{3}{4} meters in 2122 \frac{1}{2} hours
The unit rate is \square meters per hour.

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Problem 9616

5 What is the percentage change when you multiply by a 1.6 b 1.08 c 4 d 0.6 e 0.99 f 0.07?
6 a Increase 240 by 60% b Decrease 384 by 37.5% c What do you notice about your answers to a and b?
Practice 7 a What percentage of 4 hours is 6.5 hours? b The length of a train journey increases from 4 hours to 6.5 hours. What is the percentage increase? 8 a What percentage of \$680 is \$490? b A price is reduced from \$680 to \$490. What is the percentage decrease? 9 The money in a bank account increases from \$400 to \$1000. Copy and complete these sentences. a \$1000 is ......% of \$400. b The money has increased by ......%. 10 There are 320 people in a room. Show that an increase of 10% followed by an increase of 50% is the same as an increase of 65%.

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Problem 9617

In art class students are mixing blue and red paint to make purple paint. Aubree mixes 1 cup of blue paint and 4 cups of red paint. Abdoulaye mixes 3 cups of blue paint and 4 cups of red paint. Whose purple paint will be redder?
Answer Aubree's purple paint will be redder. Submit Answer Abdoulaye's purple paint will be redder. The two purple paints will be equally red.

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Problem 9618

1. Isotonic sodium chloride solution contains 0.9%0.9 \% w/v sodium chloride. If the EE value of boric acid is 0.52 , calculate the percentage strength ( w/v\mathrm{w} / \mathrm{v} ) of an isotonic solution of boric acid.

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Problem 9619

343 \cdot 4

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Problem 9620

Maria and Hoang's class started recycling. In 10 days, they had 11.6 pounds of recycling! How many pounds per day is that?
Solution 1.16 pounds per day
Here is a problem and its solution. Explain how to go from the problem to the solution. Be as detailed as possible. Use the sketch tool if it helps you show your thinking.

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Problem 9621

53÷1453 \div 14
Solve.

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Problem 9622

Another option she has is a lease where the monthly payment is $375\$375 for 4 years and she must make a one-time balloon payment of $1,500\$1,500 when she trades in the car.
6. What is the total cost of the lease for this car? (Multiply the monthly payment times 1212 times 44 plus balloon payment)

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Problem 9623

Type the missing number in this sequence: 210kn,250,1,250210 \mathrm{kn}, 250,1,250, \square Submit

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Problem 9624

Kiara had \$12. She bought two plants that cost \$5.20 and \$4.80. How much do the plants cost together? Use the decimal point in your answer! Plants: \$[ ? ] Remaining money: \$

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Problem 9625

41158\frac{4}{11} \cdot \frac{5}{8}

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Problem 9626

1114 \frac{11}{14} of 28

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Problem 9627

9. a. Brianna took out a loan from the bank to buy her first car which costs \$18,000. She will make monthly payments of \$429.56 over 4 years. How many payments will she make over the four years? Hint: 12 months in a year. (Chapter 4, Lesson 3)
\$10000
b. Determine the total amount that Brianna will pay for the car. (Chapter 4, Lesson 3)
c. Determine the amount of interest that Brianna paid the bank. (Chapter 4, Lesson 3)

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Problem 9628

Multiplicar. 49×45\frac{4}{9} \times 45

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Problem 9629

2. The table below shows the prices of some snacks at the concession stand. Mark ordered 2 hotdogs, 3 sodas, and a candy bar. The sales tax for the order was $0.56\$0.56. He paid with a $20\$20 bill.
| Item | Price | |---|---| | Soda | $1.25\$1.25 | | Chips | $1.00\$1.00 | | Hotdog | $2.45\$2.45 | | Candy
Bar | $1.30\$1.30 |

2 Hotdogs 3 Sodas 1 candy bar Tax 0.560.56 Total amount - 20
How much change should Mark receive from the $20\$20 bill? Show your work. a. $9.49\$9.49 b. $10.64\$10.64 c. $12.14\$12.14 d. $14.26\$14.26

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Problem 9630

An employee in the 12% tax bracket invests \$3000.00 in a Traditional IRA. When the employee retires, her salary is in the 22% tax bracket. What tax will be assessed on the initial investment when the employee retires? Not enough information to answer Since the employee is using a Traditional IRA, she will pay no taxes when she retires. \$360.00 \$660.00

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Problem 9632

Mr. Sanchez has 100/400/50 liability insurance. He was in an auto accident caused by his negligence. Four people were injured in the accident. They sued in court and were awarded money. One person was ordered $110,000\$110,000, and the other three were awarded $65,000\$65,000 each. How much will the insurance company pay for these lawsuits? 265.83265.83 for both cars 400400

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Problem 9633

Multiply. 37×42\frac{3}{7} \times 42

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Problem 9634

1. In Mrs. Johnson's class, the students took a survey of their favorite subject. The number of students who voted for math is a muttiple of 2 and 3 . How many students could have voted for math? A. 15 students B. 16 students C. 18 students D. 19 students

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Problem 9635

Emerson invited some of her friends to spend the night for her birthday party. The number of friends she invited is a multiple of 4. How many friends could Emerson have invited to her birthday party? A. 10 friends B. 12 friends C. 13 friends D. 14 friends

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Problem 9636

Mrs. Stevenson has 24 students. She warts to use her knowiedge of mul ples to pur they students into equal groups. Which is not a possible number of groups lilirs Steversan cars have if she wants her 24 students in equal groups? A. 3 groups B. 4 groups C. 5 groups D. 6 graps

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Problem 9637

Solve: 42 is 70% of what number?

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Problem 9638

Fractions
Writing fractions with a common denominator to add or subtract
Let's find 35+13\frac{3}{5}+\frac{1}{3}.
First write the addition with a common denominator. Then add. 35+13=+=\frac{3}{5}+\frac{1}{3}=\frac{\square}{\square}+\frac{\square}{\square}=\frac{\square}{\square}

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Problem 9639

What percent of the bottle of apple juice is water?
40 % water
What percent of the bottle of orange juice is water?
75 % water
Complete the statement.
The ? juice is made with a greater percent of water.

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Problem 9640

2) 675÷5=675 \div 5=

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Problem 9641

1) 654÷3=654 \div 3= 2) 675÷5=675 \div 5=

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Problem 9642

3.24=\sqrt{3.24}=

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Problem 9643

Dry concrete can be made by mixing sand, gravel and cement in the ratio 1 : 2 : 3.
If you want 1800 kg of dry concrete, how much of each will you need?

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Problem 9644

7947=\frac{7}{9} - \frac{4}{7} =

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Problem 9645

+113=2512 + 1 \frac{1}{3} = 2 \frac{5}{12}

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Problem 9646

2\frac{1}{3} - \text{______} = \frac{11}{15}

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Problem 9647

George and his dad made some snack mix for their camping trip. To make it they used 2 cups of mini pretzels, 14\frac{1}{4} cup of peanuts, and 13\frac{1}{3} cup of dried fruit. How many cups of snack mix did they have when they were finished? Show your thinking

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Problem 9648

George and his dad made some snack mix for their camping trip. To make it, they used 2 cups of mini pretzels, 34\frac{3}{4} cup of peanuts, and 23\frac{2}{3} cup of dried fruit. How many cups of snack mix did they have when they were finished? Show your thinking.

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Problem 9649

(142)2\left(\frac{\frac{1}{4}}{2}\right)^2

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Problem 9650

ex 3 and 5 3: 3, 6, 9, 12, 1515, 18 5: 5, 10, 1515, 20 The LCM is 15. a 4: 6: LCM: b

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Problem 9652

Rewrite the mixed number 4124 \frac{1}{2} as an equivalent fraction with a denominator equal to 12. 412=?12412=12\begin{array}{c} 4 \frac{1}{2}=\frac{?}{12} \\ 4 \frac{1}{2}=\frac{\square}{12} \end{array}

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Problem 9653

Calculate the percentage difference: 3.53.141593.14159×100\frac{3.5-3.14159}{3.14159} \times 100.

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Problem 9654

Find the expression to calculate the total height of two towers: 89100\frac{89}{100} m and 710\frac{7}{10} m. Choose 1 answer: (A) 89100+7100\frac{89}{100}+\frac{7}{100} (B) 8910+710\frac{89}{10}+\frac{7}{10} (C) 89100+70100\frac{89}{100}+\frac{70}{100} (D) 89070890 \quad 70

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Problem 9655

How much longer is Fluffy's tail (1131 \frac{1}{3} m) than Fireball's tail (1141 \frac{1}{4} m)?

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Problem 9656

Calculate the result of 3423\frac{3}{4} - \frac{2}{3}.

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Problem 9657

Calculate the value of 2316=\frac{2}{3} - \frac{1}{6} = \square

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Problem 9658

Our pirate ship had 56\frac{5}{6} of a chest of gold and took 38\frac{3}{8} more. How many chests do we have now?

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Problem 9659

Noor had 57\frac{5}{7} L of coconut milk and used 12\frac{1}{2} L. How much is left? Identify the correct number line.

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Problem 9660

Find the remainder when 87 is divided by 17. What is 87÷1787 \div 17 remainder?

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Problem 9661

Calculate the product of 12 and 0.75: 12×0.7512 \times 0.75.

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Problem 9662

Find the value of \square in the equation 300÷=30300 \div \square=30.

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Problem 9663

Find the remainder when 945 is divided by 35. What is 945÷35945 \div 35?

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Problem 9664

Which option shows the correct multiplication of 409×7409 \times 7 using the standard algorithm? Choose A, B, or C.

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Problem 9665

Calculate the value of 1.4374\frac{1.4}{374}.

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Problem 9666

Evaluate (5.38×105)÷(2×102)\left(5.38 \times 10^{5}\right) \div\left(2 \times 10^{-2}\right) and express your answer in scientific notation.

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Problem 9667

What is the weight of a phone that weighs 0.068125 pounds, rounded to the nearest hundredth in scientific notation?

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Problem 9668

Divide 1121 \frac{1}{2} by 34\frac{3}{4}.

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Problem 9669

What is 23\frac{2}{3} of 6 if 6 unit squares each have 23\frac{2}{3} of their area shaded?

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Problem 9670

What fraction of the doughnuts in a box have both frosting and sprinkles if 23\frac{2}{3} have frosting and 12\frac{1}{2} of those have sprinkles?

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Problem 9671

Compare using >,<>,<, or ==: 77×3636\frac{7}{7} \times 36 \bigcirc 36 without multiplying.

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Problem 9672

Jackie used 35\frac{3}{5} of February's oil (1121 \frac{1}{2} liters). Find January's oil amount.

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Problem 9673

Find the total cost for 4 friends if tickets are \7.25eachandpopcorn/drinkis$5.75eachusing7.25 each and popcorn/drink is \$5.75 each using 4(5.75+7.25)$.

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Problem 9674

Calculate 234×452 \frac{3}{4} \times \frac{4}{5}. Choose the correct answer: (A) 27202 \frac{7}{20} (B) 2152 \frac{1}{5} (C) 1351 \frac{3}{5} (D) 1120\frac{11}{20}.

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Problem 9675

What is 2÷72 \div 7? Choose the correct answer: A) 72\frac{7}{2} B) 97\frac{9}{7} C) 29\frac{2}{9} D) 27\frac{2}{7}

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Problem 9676

If you multiply two decimals less than 1, will the product be less than both factors? Explain your reasoning.

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Problem 9677

Two people share 5 kg5 \mathrm{~kg} of chocolate equally. How much does each get?
(A) 1121 \frac{1}{2} kg (B) 2122 \frac{1}{2} kg (C) 5125 \frac{1}{2} kg

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Problem 9678

What number divided by 9 equals 59\frac{5}{9}?

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Problem 9679

Share 7 donuts among 4 people. Which equation shows how many each gets? (A) 4÷7=474 \div 7=\frac{4}{7} (B) 4÷7=744 \div 7=\frac{7}{4} (C) 7÷4=477 \div 4=\frac{4}{7} (D) 7÷4=747 \div 4=\frac{7}{4}

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Problem 9680

Is Jaime's calculation of 4.40.33=1.14.4 - 0.33 = 1.1 reasonable? Discuss your reasoning.

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Problem 9681

How many aquariums can we fill with 54 liters if one holds 12 liters? Include fractions. Answer: 54/1254 / 12 aquariums.

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Problem 9682

Three kittens weigh 3.6, 4.2, and 3.3 ounces. If each gains 2.3 ounces, what is their new weight?

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Problem 9683

Complete the sequence: 7.5, 6.25, 5. Identify the pattern and find the next number.

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Problem 9684

4 people share 5 kg of coffee. How many kg does each person get? Choose one: (A) 0-1 kg (B) 1-2 kg (C) 2-3 kg (D) 3-4 kg.

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Problem 9685

Calculate the value of 7+35×212÷37 + 3 - 5 \times 2 - 12 \div 3. What is the result?

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Problem 9686

Two factors multiply to 34.44. One is a whole number. How many decimal places does the other factor have? Explain.

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Problem 9687

Simplify: 1+32251 + 3^{2} \cdot 2 - 5

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Problem 9688

Ruby read 7 books in 14 months. Find her reading rate in books per month: 714\frac{7}{14}.

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Problem 9689

Ruby read 7 books in 14 months. Find her reading rate in books per month: Rate=714 \text{Rate} = \frac{7}{14} books/month.

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Problem 9690

Find the products: 3208 ×\times 4 and 8429 ×\times 7.

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Problem 9691

Find the products: 3,418 × 8 and 7,347 × 5.

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Problem 9692

Calculate: 14(175)=14 - (17 - 5) =

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Problem 9693

Calculate 15(7+2)15 - (7 + 2).

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Problem 9694

Calculate the expression: 63+7=6 - 3 + 7 =

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Problem 9695

Evaluate n+2+pn+2+p for n=12n=\frac{1}{2} and p=1p=1.

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Problem 9696

Choose the correct statement about the sum of 383 \sqrt{8} and 2182 \sqrt{18}: A) irrational, B) rational, C) rational + irrational.

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Problem 9697

Find q+p|q+p| for p=5p=5 and q=4q=-4.

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Problem 9698

What percent of the \$3000 goal has Maple School reached after earning \$540 from candle sales?

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Problem 9699

Kaya ran 1231 \frac{2}{3} miles on Monday and 2132 \frac{1}{3} miles on Tuesday. What is the total distance in miles?

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Problem 9700

Find qp|q-p| for p=6p=-6 and q=2q=2.

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