Numbers & Operations

Problem 7601

Alonzo deposited \$12,000 at 6% and \$4,000 at 5%. Find: (a) total interest after 1 year and (b) total percent interest earned.

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Problem 7602

Ian's diet is 30% fat, 50% carbs, and 20% protein from 3000 kcal. How many grams of protein is he eating? Options: a) 150 b) 200 c) 300.

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Problem 7603

Karen invested \$3000 at 5\% and \$7000 at 4\%. Find total interest after 1 year and overall percent interest.

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Problem 7604

Laura and Eric each deposit \$70,000 at 6\% interest. Calculate their yearly interest for 3 years and compare.

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Problem 7605

Ian's diet has 30% fat and 50% carbs in 3,000 kcal. How many kcal are from carbs? a) 500 b) 1000 c) 1500 d) 2000

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Problem 7606

Ian's diet has 30%30\% fat and 50%50\% carbs in a 3,000kcal3,000 \mathrm{kcal} total. How many grams of carbs is he eating? a) 375 b) 400 c) 425 d) 450

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Problem 7607

Jessica and Tom each deposit \$10,000 at 2% interest. Calculate their interest for 3 years and compare who earns more each year.

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Problem 7608

Is Frank's 1,200 calorie diet (20\% carbs) providing at least 130 grams of carbs? Calculate carbs in calories.

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Problem 7609

11% di 20 è 4, qual è il valore di 11?

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Problem 7610

If 11% of 20 equals 4, what is the value of 11?

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Problem 7611

Identify which numbers in the set A={6,17,8.333,3π,2,8}A=\{-6, \frac{1}{7}, -8.333\ldots, 3\pi, 2, 8\} are natural, integer, rational, irrational, and real numbers.

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Problem 7612

Identify the types of numbers in the set C={0,1,19,112,115}C=\{0,1, \frac{1}{9}, \frac{1}{12}, \frac{1}{15}\}.

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Problem 7613

Identify which numbers in the set E={14,π,14+1,π+114}E=\{\sqrt{14}, \pi, \sqrt{14}+1, \pi+\frac{1}{14}\} are (a) Natural, (b) Integers, (c) Rational, (d) Irrational, (e) Real.

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Problem 7614

Find the sum of 5.3×1055.3 \times 10^{5} and 3.8×1043.8 \times 10^{4} in scientific notation.

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Problem 7615

Kevin and Greg inherit \43000each.After1year,howmuchmoredoesGreghavethanKevinifheearns43000 each. After 1 year, how much more does Greg have than Kevin if he earns 5.3 \%vs. vs. 1.7 \%$?

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Problem 7616

Approximate 61715\frac{617}{15} by rounding and truncating to three decimal places.

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Problem 7617

Charles and Mark inherit \46000each.After1year,howmuchmoredoesMarkhavethanCharlesifheearns46000 each. After 1 year, how much more does Mark have than Charles if he earns 5.3 \%vs. vs. 1.8 \%$?

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Problem 7618

Convert 1234.5678 to scientific notation.

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Problem 7619

Determine if 7-7 is less than, greater than, or equal to 8-8: 7?8-7 ? -8

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Problem 7620

Replace the question mark with <,><,>, or ==: 37?6.08\sqrt{37} ? 6.08

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Problem 7621

Replace the question mark with <,><,>, or == for the equation: 114?2.75\frac{11}{4} ? 2.75.

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Problem 7622

Replace the question mark with <<, >>, or == in the equation: 114?2.75\frac{11}{4} ? 2.75

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Problem 7623

Is 47 \frac{4}{7} less than, greater than, or equal to 0.57?

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Problem 7624

Natalie leaves a 23%23\% tip on a \$13.56 bill. How much does she pay in total? Round to the nearest cent.

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Problem 7625

Find the number of neutrons in the isotope 76190Os{ }_{76}^{190} \mathrm{Os} (integer value).

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Problem 7626

Calculate (12)2(-12)^{2}.

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Problem 7627

Calculate the hourly temperature drop if it decreases by 24.8 degrees in 6146 \frac{1}{4} hours.

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Problem 7628

How many pounds of chicken are needed for one serving if a recipe for 3 servings requires 3373 \frac{3}{7} pounds?

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Problem 7629

Compare 2×3-2 \times 3 with 0 using <<, >>, or ==.

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Problem 7630

Find the least common multiple of 12 and 5.

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Problem 7631

Solve: 0.53÷0.05+5.200.53 \div 0.05 + 5.20

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Problem 7632

Find the sum of 24.68+12.138+2.1424.68 + 12.138 + 2.14 and estimate by rounding to the nearest whole number. Exact answer: \square.

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Problem 7633

Lucas sold his car for R12 000, invested it with changing rates. Find the total after 6 years with R3 000 added after 2 years.

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Problem 7634

Estimate the distance traveled in 8 hours 20 minutes at 39 miles per hour. Round to the nearest mile.

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Problem 7635

Calculate and round the result of 8.8289.97324.675\frac{8.828-9.973}{\sqrt{24.675}} to two decimal places.

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Problem 7636

1. Calculate 134451 \frac{3}{4}-\frac{4}{5}. What is the result?
2. Find the product of 35\frac{3}{5} and 56\frac{5}{6} in simplest form.
3. Convert 0.35 to a fraction in lowest terms.
4. Express 0.35 as a percentage.
5. Identify the equivalent of 2.3%2.3\%.

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Problem 7637

Calculate and round the result of 2.6534.11716.168\frac{2.653-4.117}{\sqrt{16.168}} to two decimal places.

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Problem 7638

1.7 Calculate 120×(12+25)\frac{1}{20} \times\left(\frac{1}{2}+\frac{2}{5}\right). Choose A, B, C, or D. 1.8.1 Find the VAT on a R 15000 fridge at 15%15\%. Choose A, B, C, or D. 1.8.2 What is the total cost of the fridge including VAT? Choose A, B, C, or D. 1.8.3 Calculate 88%88\% of 40 kg40 \mathrm{~kg}. Choose A, B, C, or D.

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Problem 7639

Calculate the value of 6.0398.0463.943\frac{6.039-8.046}{\sqrt{3.943}} and round to two decimal places.

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Problem 7640

Convert 7.16×1057.16 \times 10^{5} from scientific notation to standard notation.

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Problem 7641

Simplify the expression: 42-4^{2}.

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Problem 7642

Determine if statements are True or False. Answer examples: 2.1.1 True. Also, categorize ratios/rates and explain.

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Problem 7643

Calculate and round the result of 4.0198.7393.779\frac{4.019-8.739}{\sqrt{3.779}} to two decimal places.

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Problem 7644

Calculate ingredients for 50 meatballs: minced beef, canned tomatoes, and eggs. Compare prices of minced beef at two shops. Determine meatballs needed for 24 and 30 people. Verify R3600 distribution among three children aged 3, 5, and 10 years.

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Problem 7645

Is the expression 144-\sqrt{144} a real number? If yes, evaluate it.

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Problem 7646

Convert -0.000354 to scientific notation.

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Problem 7647

Simplify the expression: 42-4^{2}.

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Problem 7648

Convert 5.19×1045.19 \times 10^{4} from scientific notation to standard notation.

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Problem 7649

Is the expression 16-\sqrt{16} a real number? If yes, evaluate it.

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Problem 7650

Find the probability that a 4-digit even number formed from 0,1,2,3,4,50,1,2,3,4,5 is a multiple of 4, with repeated digits allowed.

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Problem 7651

Convert 1.50 miles to inches using: 1 mile = 5280 feet and 1 foot = 12 inches. What is the result?

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Problem 7652

38\frac{3}{8} 16\frac{1}{6}

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Problem 7653

Question 8 (2 points) Yumco is a subscription-based meal plate producer and seller. Customers can only buy the meal plates if they subscribe to the weekly plan, which includes 7 dinner plates (i.e., 1 dinner plate for each day of the week). On average, each meal plate costs $5\$ 5 to produce. The total shipment cost of the weekly plan (which includes the 7 dinner plates) is $10\$ 10. The price of the weekly subscription is $120\$ 120. Based on this, what is the markup(\%) of the weekly subscription package, rounded to the nearest whole percentage? 133\% 167\% 233\% 147%147 \%

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Problem 7654

6. Round 12.12 to the nearest tenth.

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Problem 7655

6. Fill in the blanks.
1 foot == \qquad inches
1 yard = \qquad feet
1 hour = \qquad minutes
1 day = \qquad hours
1 year = \qquad days
1 year = \qquad weeks
1 dollar = \qquad cents == \qquad dimes == \qquad quarters
1 gallon = \qquad pints
1 gallon = \qquad quarts
1 pound = \qquad ounces

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Problem 7656

Evaluate the following e 2.4×1048×1032.4×1048×103=\begin{array}{c} \frac{2.4 \times 10^{-4}}{8 \times 10^{-3}} \\ \frac{2.4 \times 10^{-4}}{8 \times 10^{-3}}= \end{array}

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Problem 7658

16. One box has 27 jars of strawberry jam How many jars are in 82 boxes? 4.Nso.2.2 (A) 2,160 jars (B) 2,204 jars (C) 2,214 jars (D) 2,224 jars

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Problem 7659

27. A factory makes 132 laptops each day. How many laptops does the factory make in 45 days? 4.Nso.2.2

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Problem 7660

Fill in the blank to make the two fractions equivalent. 24=58\frac{\square}{24}=\frac{5}{8}

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Problem 7661

What is 18\frac{1}{8} of 16?16 ?

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Problem 7662

Multiply. 79×23\frac{7}{9} \times \frac{2}{3}

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Problem 7663

12. - 16|-16| - |+7| 0|0| 0 5 5|-5| 16 7 16-16
Yukarıdaki tabloda verilen tam sayilardan birbirine eşit olanlar eşleştiriliyor. Buna göre geriye kalan sayı kaçtır? A) -16 B) 16 C) +5 D) +7

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Problem 7664

Sum the four numbers below. 29.68,7.5,28,6.8929.68, \quad 7.5, \quad 28, \quad 6.89

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Problem 7665

Write the following values in ascending order (smallest to largest): 0.07,271000.3,5%,410\begin{array}{lllll} 0.07, & \underset{100}{27} \end{array} \quad 0.3, \quad 5 \%, \quad \frac{4}{10}

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Problem 7666

1. Машины үйлдвэр A, В, С, D загваруудыг 7:5:3:17: 5: 3: 1 харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A. 15000 E. 9000 C. 21000 D. 3000 E. 6000

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Problem 7667

1. Машины үйлдвэр A, B, C, D загваруудыг 7:5:3:17: 5: 3: 1 харьцаатайгаар үйлдвэрлэдэг. Үйлдвэрлэсэн 48000 машины хэд нь С загварынх байх вэ? A 15000 B. 9000 C. 21000 D. 3000 E. 6000

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Problem 7668

The number 0.011 approximates the number 0.01 to Select one: a. 3 significant digits b. 2 significant digits c. -2 significant digits d. 1 significant digit e. 0 significant digit

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Problem 7669

VIII. Estimate the quotient of each of the following oy r0un\mathrm{r}_{0} \mathrm{u}_{\mathrm{n}} ing off to its highest place. 1) 398÷82398 \div 82 2) 786÷22786 \div 22 3) 3,265÷583,265 \div 58 4) 7,687÷437,687 \div 43

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Problem 7670

Pewrite the ratio 8:368: 36 as an equivalent ratio of the form 1 : nn Cile any decimals in your ans wer to 1 dp

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Problem 7671

The ratio of purple cars to red cars in a car park is 89:5389: 53
Rewrite this as an equivalent ratip of the form n:1n: 1 Give any decimals in your answer to 2 d .p.

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Problem 7672

Simplify. 428428=\begin{array}{l} -4^{2}-8 \\ -4^{2}-8= \end{array}

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Problem 7673

Work out the missing values in this estimation. 8.41×0.628.41 \times 0.62 \approx \qquad \qquad

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Problem 7674

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del 12%12 \% en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

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Problem 7675

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del 12\% en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

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Problem 7676

10. En una competencia de deportes, participaron 200 personas. Al final, se otorgan premios al 15%15 \% de los participantes. El organizador de la competencia necesita saber cuántas personas ganaron un premio. ¿Cuántas personas ganaron un premio?

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Problem 7677

EXERCICE 1: 1) calculer : 12+(516);23+85;35×103;16+23\frac{1}{2}+\left(\frac{-5}{16}\right) \quad ; \quad \frac{-2}{3}+\frac{8}{5} \quad ; \quad \frac{-3}{5} \times \frac{10}{3} ; \frac{1}{6}+\frac{-2}{3} 2) calculer et simplifier les expressions suivantes: A=9595×52B=3454×110710C=(2312)(2534)D=15771\begin{array}{ll} A=\frac{9}{5}-\frac{9}{5} \times \frac{5}{2} & B=\frac{3}{4}-\frac{5}{4} \times \frac{1}{10}-\frac{7}{10} \\ C=\left(\frac{2}{3}-\frac{1}{2}\right)\left(\frac{2}{5}-\frac{3}{4}\right) & D=\frac{1-\frac{5}{7}}{7}-1 \end{array} 3) Simplifier l'expression suivante tel que a et b deux nombres rationnels non nuls E=a+b1a+1b}\left.E=\frac{a+b}{\frac{1}{a}+\frac{1}{b}}\right\}

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Problem 7678

1.1×104×20.00551.1 \times 10^{-4} \times \frac{2}{0.0055}

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Problem 7679

Solve the dosage by weight conversion problem. Weight 22 pounds. Ordered dose: 33 milligrams per kilogram per day Recommended dose from drug label : 25 - 50 milligrams per kilogram per day in equally divided doses every 8 hours. a) Does the doctor's order fit within the recommended safe guidelines? b) What is the daily dose? c) What is the individual dosage? a) Does the doctor's order fit within the recommended safe guidelines? Yes No

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Problem 7680

In 5-8, find the GCF for each pair of numbers.
5. 45,60
6. 24,100
7. 19, 22
8. 14,28

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Problem 7681

Divide 216 by 15 . Give your answer as a decimal.

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Problem 7682

Find the lowest common multiple (LCM) of 4 and 12 .

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Problem 7683

(73115):(45)2+(29241)3:(24324)283(54+3832)\left(\frac{7}{3}-\frac{11}{5}\right):\left(-\frac{4}{5}\right)^{2}+\left(\frac{29}{24}-1\right)^{3}:\left(2-\frac{43}{24}\right)^{2}-\frac{8}{3} \cdot\left(\frac{5}{4}+\frac{3}{8}-\frac{3}{2}\right)

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Problem 7684

In 13-16, find the LCM of each pair of numbers.
16. 4, 9
15. 3,4
13. 8,12
14. 6, 7

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Problem 7685

17. Reasoning Mrs. James displayed the factor tree at the right. Complete the factor tree to find the number that has a prime factorization of 24×32^{4} \times 3.

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Problem 7686

What is 1.2×1.61.2 \times 1.6 ?

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Problem 7687

Work out 656÷3656 \div 3. Give your answer as a whole number and a remainder.

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Problem 7688

Name
Practice Period \qquad Date
Dec/1/24 Go Online You can complete your homework online. Evaluate each expression if a=78,b=716,c=0.8,d=14a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}. (Example 1)
1. abc+d\frac{a}{b}-c+d \qquad 5120-\frac{51}{20}
2. a+b+cda+b+c d =5180=\frac{51}{80}
3. ca+bdc-a+\frac{b}{d} \qquad
4. ba+cd\frac{b}{a}+\frac{c}{d}
5. a2ba^{2}-b
6. a+bcda+\frac{b}{c}-d

Evaluate each expression if a=710,b=35,c=1.9a=\frac{7}{10}, b=\frac{3}{5}, c=-1.9. and d=12d=-\frac{1}{2}. Write vour answer in

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Problem 7689

1- Write a Python program that requests five integer values from the user. It then prints the maximum and minimum values entered. If the user enters the values 3,2,5,03,2,5,0, and 1 , the program would indicate that 5 is the maximum and 0 is the minimum. Your program should handle ties properly; for example, if the user enters 2, 42, 3 and 3, the program should report 2 as the minimum and 4 as maximum.

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Problem 7690

1 Complete the conversions. 1 metre == \qquad centimetres
1 litre = \qquad millilitres 3 cm=3 \mathrm{~cm}= \qquad mm

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Problem 7691

\begin{array}{|c|c|} \hline \multicolumn{2}{|c|}{1 \text{ kg}} \\ \hline \text{g} & \ldots \text{ g} \\ \hline \end{array}
Complete the bar model. 1 kg equals to how many grams?

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Problem 7692

Multiples Write the first five multiples of each number.
9. 10 8.9 7.8 11.4 10.6

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Problem 7693

14. How are the terms difference, sum, quotient, and product alike?

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Problem 7694

The sum of 132 and 402 is exactly divisible by which number?
F 4 G 6 H 8 J 9 If None of these

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Problem 7695

tof \begin{tabular}{lc} Sales revenue & $526,000\$ 526,000 \\ Depreciation & $150,000\$ 150,000 \\ Other operating costs & $250,000\$ 250,000 \\ Tax rate & 40%40 \% \end{tabular}
Select one: a. $200,250\$ 200,250 b. $212,500\$ 212,500

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Problem 7696

1 45÷245÷3\frac{4}{5} \div 2 \quad \frac{4}{5} \div 3 a) Write two things that are the same about the calculations. \qquad \qquad \qquad

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Problem 7697

g) Of the $500000\$ 500000 paid for the property, $150000\$ 150000 was for the block of land, and the rest was for building the house. Find the ratio of land to total property price.

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Problem 7698

\begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline fluid ounce & fl oz & \\ \hline cup & c & 1c=8floz1 \mathrm{c}=8 \mathrm{fl} \mathrm{oz} \\ pint & pt & 1pt=2c1 \mathrm{pt}=2 \mathrm{c} \\ \hline quart & qt & 1qt=2pt1 \mathrm{qt}=2 \mathrm{pt} \\ gallon & gal & 1gal=4qt1 \mathrm{gal}=4 \mathrm{qt} \end{tabular}
Fill in the blanks. 8qt=pt10c=pt\begin{array}{l} 8 \mathrm{qt}=\llbracket \mathrm{pt} \\ 10 \mathrm{c}=\square \mathrm{pt} \end{array}

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Problem 7699

Last month, a coral reef grew 4000 millimeters taller. Use the facts to find how much this is in meters. \begin{tabular}{|r|l|} \hline \multicolumn{2}{|c|}{ Conversion facts for length } \\ \hline 1000 millimeters (mm)(\mathrm{mm}) & =1=1 meter (m)(\mathrm{m}) \\ \hline 100 centimeters (cm)(\mathrm{cm}) & =1=1 meter (m)(\mathrm{m}) \\ \hline 10 decimeters (dm)(\mathrm{dm}) & =1=1 meter (m)(\mathrm{m}) \\ \hline 1 dekameter (dam)(\mathrm{dam}) & =10=10 meters (m)(\mathrm{m}) \\ \hline 1 hectometer (hm)(\mathrm{hm}) & =100=100 meters (m)(\mathrm{m}) \\ \hline 1 kilometer (km)(\mathrm{km}) & =1000=1000 meters (m)(\mathrm{m}) \\ \hline \end{tabular} \square m

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Problem 7700

Here are some facts about units of weight. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline ounce & oz & \\ \hline pound & lb & 1lb=16oz1 \mathrm{lb}=16 \mathrm{oz} \\ \hline ton & T & 1 T=2000lb1 \mathrm{~T}=2000 \mathrm{lb} \\ \hline \end{tabular}
Fill in the blanks. 6lb=oz8000lb=T\begin{aligned} 6 \mathrm{lb} & =\llbracket \mathrm{oz} \\ 8000 \mathrm{lb} & =\square \mathrm{T} \end{aligned}

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