Numbers & Operations

Problem 11502

A lab device releases gas at 0.25 Ls\frac{0.25 \text{ L}}{s} with density 4.3 gL\frac{4.3 \text{ g}}{L}. Find time to release 154 g.

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Problem 11503

Calculate the product of 54 and 523: 54×523=54 \times 523 =

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Problem 11504

Arrange these numbers in descending order: 2812,113,305%,3.2×101,π2 \frac{8}{12}, \frac{11}{3}, 305\%, 3.2 \times 10^{-1}, \pi.

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Problem 11505

Rewrite the improper fraction 207\frac{20}{7} as a mixed number after calculating 20747\frac{20}{7} \cdot \frac{4}{7}.

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Problem 11506

Divide 1341 \frac{3}{4} by 3233 \frac{2}{3}.

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Problem 11507

Divide 1341 \frac{3}{4} by 3233 \frac{2}{3}.

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Problem 11508

Write three more Count on facts similar to 36+136+1 and 7+27+2.

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Problem 11509

Compare these numbers using < or >: 146\sqrt{146}, 137\sqrt{137}, 11.6811.68, 172/317^{2 / 3}, 21/221 / 2, 9.719.71.

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Problem 11510

Find two equivalent ratios of cups of pink paint to cups of blue paint for the ratio 6 to 5.

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Problem 11511

Determine the consecutive whole numbers between which 76\sqrt{76} falls.

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Problem 11512

Find how many seconds it takes for a device releasing gas at 0.251 liter\frac{0.25}{1 \text{ liter}} to produce 154 grams.

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Problem 11513

Select correct subsets for the number 17-17: a Real, b Natural, c Whole, d Rational, e Integer.

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Problem 11514

Complete the unit conversions for problems 1-11, rounding to the nearest hundredth if needed. 12: How far can Miss Baker walk in an hour?

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Problem 11515

A lab device releases gas at a rate of 0.25second\frac{0.25}{\text{second}}. With a density of 4.3 grams1 liter\frac{4.3 \text{ grams}}{1 \text{ liter}}, find the time to release 154 grams.

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Problem 11516

Find the discount on rubber boots that cost \27.95nowpricedat$21.45.Use27.95 now priced at \$21.45. Use x$ to represent the discount.

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Problem 11517

If 23\frac{2}{3} of Mrs. Wright's class is 10 students, how many students are in her class?

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Problem 11518

At a talent show, half the acts were musical. If three quarters of those were solos, what fraction were solo musical acts?

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Problem 11519

Convierte el número decimal periódico 33,3%33, \overline{3} \% a fracción.

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Problem 11520

Are Jessica's rate of 4 laps9 minutes\frac{4 \text{ laps}}{9 \text{ minutes}} and Luke's rate of 8 laps27 minutes\frac{8 \text{ laps}}{27 \text{ minutes}} equivalent?

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Problem 11521

Order of Operations: Exercise 2 Grace
Date: \qquad Girace Answer these questions in your notebook. Set up each question properly and show all work clearly.
1. 8233+4×7(6(2)×(4)÷8×311)÷830÷(6))25\left.8^{2}-3^{3}+4 \times 7-(6-(-2) \times(-4) \div 8 \times 31-1) \div 8-30 \div(-6)\right)-2^{5}
2. (1)84÷5×5+694÷(716÷2)694+(3×(8)24)×13÷89+619(-1)^{84} \div 5 \times 5+694 \div(7-16 \div 2)^{694}+(-3 \times(-8)-24) \times 13 \div 89+6-19
3. 77×8÷77×[16+(7×2÷7×2)16+4]77 \times 8 \div 77 \times[16+(7 \times 2 \div 7 \times 2)-16+4]
4. 98(77)÷(7)+8(63×4)+(6+(2)(5)+32)(8(6)×3)98-(-77) \div(-7)+8-(6-3 \times 4)+(6+(-2)-(-5)+3-2)(8-(-6) \times 3)
5. (59+3)(15÷8×2÷3×4+4)(1÷8×(8))(6×55)(3÷9×9(2))(4)(5-9+3)(-15 \div 8 \times 2 \div 3 \times 4+4)(1 \div 8 \times(-8))(6 \times 5-5)(3 \div 9 \times 9-(-2))(-4)
6. 2369×125÷23×(4)÷(1)×2(25×91×(4)÷(7)×(3)+(12))2369 \times 125 \div 23 \times(-4) \div(-1) \times 2-(25 \times 91 \times(-4) \div(-7) \times(-3)+(-12))
7. 1÷22÷11×121×(6)2(36÷(33)×(11)÷4)÷(7(2)(5))(7)51 \div 22 \div 11 \times 121 \times(-6)-2(36 \div(-33) \times(-11) \div 4) \div(7-(-2)(-5))-(-7)-5
8. 60×85÷3÷(85)×1443÷481×(254×4)(16)+57-60 \times 85 \div 3 \div(-85) \times 1443 \div 481 \times\left(2^{5}-4 \times 4\right)-(1-6)+5-7
9. 5×4×3×2×10÷16×27+(173÷12×(2)÷(1)×(2)+5)×(7(5))5 \times 4 \times 3 \times 2 \times 1-0 \div 16 \times 27+(-17-3 \div 12 \times(-2) \div(-1) \times(-2)+5) \times(-7-(-5)) 3(819+2)(21)-3(8-19+2)-(-2-1)
10. 3(9+69+6)(8)÷(5)×(7×(6)(6)×(4)+7)(1136)11393(9+6-9+6)-(-8) \div(-5) \times(-7 \times(-6)-(-6) \times(-4)+7)-(-1136)-1139
11. 9(1216)×42÷(8)÷(7)(810)(3+3)÷97×563(13)+2×4-9-(-12-16) \times 42 \div(-8) \div(-7)-(8-10)(-3+3) \div 97 \times 563-(-13)+2 \times 4
12. 1÷(5)×3×104(12(6)×(2))÷7×(3)+3÷9×(93×2)1 \div(-5) \times 3 \times 10-4(12-(-6) \times(-2)) \div 7 \times(-3)+3 \div 9 \times(9-3 \times 2)
13. 8×37×(5)×255×17×(5)×4×3×5×(2)(12)÷3(1)-8 \times 37 \times(-5) \times 25-5 \times 17 \times(-5) \times 4 \times 3 \times 5 \times(-2)-(-12) \div 3-(-1)
14. (27×5)(53×2)+(5+3×(2))×(16)÷(2)+(27)(6+(5)÷(5))(-2-7 \times 5)(5-3 \times 2)+(-5+3 \times(-2)) \times(-16) \div(-2)+(2-7)(-6+(-5) \div(-5)) +(3×(5)2×2)(24÷28×(14)÷6)(3)×(2)+(3 \times(-5)-2 \times 2)(-24 \div 28 \times(-14) \div 6)-(-3) \times(-2)
15. (3)3(2)2÷7×(3)×14÷(2)(3)×(232×(2)6)76×(1)181×(2)3(-3)^{3}-(-2)^{2} \div 7 \times(-3) \times 14 \div(-2)-(-3) \times\left(-2-3^{2} \times(-2)-6\right)^{76} \times(-1)^{181} \times(-2)^{3}

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Problem 11522

Locating Fractions on a Number Line
Use the drop-down menus to label the points on the number line.
Point AA is at \square Point BB is at \square Point CC is at \square Point DD is at \square
Intro

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Problem 11523

The questions in the arithmetic test are each followed by four possible answers. Decide which answer is correct and then mark the space on your answer sheet that has the same number and letter as your choice. Use scratch paper for any figuring you need to do.
1. If a hexahedral die is rolled two times, what's the probability of NOT rolling a five both times? (A) 1/361 / 36 (B) 1/61 / 6 (C) 4/364 / 36 (D) 25/3625 / 36
2. Jack loaned Bob $1,500\$ 1,500 at an annual interest rate of 7%7 \%. After one year, how much will Bob owe Jack? (A) $105\$ 105 (B) $1,500\$ 1,500 (C) $1,605\$ 1,605 (D) $1,507\$ 1,507

A 2-ton truck is taxed at a rate of $0.12\$ 0.12 per pound. How much is the total tax bill? (A) $480\$ 480 (B) $240\$ 240 (C) $120\$ 120 (D) $600\$ 600
If ab=10a b=10, and a2+b2=30a^{2}+b^{2}=30, solve for yy in the equation, y=(a+b)2y=(a+b)^{2}. A) 40 B) 45 c) 50 ) 55
5. A half-pint of cream is what part of a gallon? (A) 1/81 / 8 (B) 1/11 / 1 (C) 1/161 / 16 (D) 1/61 / 6
6. The cost of a protein bar increased from $2.50\$ 2.50 to $2.80\$ 2.80. The percent increase to the $2.80\$ 2.80 rate was how much? (A) 16%16 \% (B) 10%10 \% (C) 15%15 \% (D) 12%12 \%
7. An aircraft flies over Boondock Air Force Base at 10:20 a.m. At 10:32 a.m., the plane passes over Sea Side Naval Air Station, 120 miles away. How fast is the aircraft traveling? (A) 400 mph (B) 500 mph (C) 600 mph (D) 700 mph
8. Last year, Margot grew 50 bushels of cc in her backyard. This year, the yield hh increased 8%8 \%. How many bushels of c did Margot grow this year? (A) 56 (B) 52 (C) 60 (D) 54

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Problem 11524

movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include units.

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Problem 11525

When the expression 156×289×35315^{6} \times 28^{9} \times 35^{3} is evaluated, it ends with several consecutive zeros. How many?

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Problem 11526

Copy and complete the statement.
10. 6gal/min=6 \mathrm{gal} / \mathrm{min}= \qquad qt/min\mathrm{qt} / \mathrm{min}
11. 5.3 km/h=5.3 \mathrm{~km} / \mathrm{h}= \qquad m/h\mathrm{m} / \mathrm{h} Copyright \odot Big Ideas Learning, LLC

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Problem 11527

45=30\frac{4}{5}=\frac{\square}{30} and 56=30\frac{5}{6}=\frac{\square}{30}, so 45\frac{4}{5} is \square than 56\frac{5}{6}

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Problem 11528

1. Order: 500 mg
Supply on Hand: 250mg/tab250 \mathrm{mg} / \mathrm{tab}

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Problem 11529

Identifying an Error Deepak plotted these points on the number line. Point A: -0.3 Point B: 34-\frac{3}{4} Point C: 114-1 \frac{1}{4} Point D: -0.7 Which point did he plot incorrectly? Point a Intro Done

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Problem 11530

Ready Solve Problems with Ratios and Unit Rates - Instruction - Level F
Avery and Carmen both have summer jobs. Avery gets paid $360\$ 360 every 4 weeks. Carmen gets paid $480\$ 480 every 6 weeks. Summer break lasts a total of 12 weeks. Who will earn more money during summer break?
Find the amount Avery and Carmen each earn in 1 week. Avery earns \? ? \square$ per week.
Carmen earns \? ? \square$ per week.

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Problem 11531

Classify the numbers as rational or irrational. -9 2 9+2-9+2

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Problem 11532

The prime factor trees for 70 and 385 are given below. se the prime factor trees to find the highest common factor (HCF) of 70 and 385 .

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Problem 11533

The prime factor tree for 693 is given below. Draw the prime factor tree for 330 and use it to work out the highest common factor (HCF) of 330 and 693 .

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Problem 11534

Find the value of 2×(7(52))2 \times(7-(5-2))

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Problem 11535

Work out 4+6×5+94+6 \times 5+9

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Problem 11536

Calculate 17 - (5+2×3)(5+2 \times 3)

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Problem 11537

Which of the following describe -4 ? Select all that apply. whole number irrational number real number integer

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Problem 11538

Which of these equations are true?
1. 412=13.8564 \sqrt{12}=13.856. II. 216=442 \sqrt{16}=4 \sqrt{4} III. 614=22.4496 \sqrt{14}=22.449 \ldots 1) I only 2) II only 3) I and II 4) I, II, and III

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Problem 11539

Use the roster method to list the elements in the set. {xx\{x \mid x is a whole number less than 5}\} {1,2,3,4}the }\left.\{1,2,3,4\}^{\text {the }}\right\} {0,1,2,3,4}\{0,1,2,3,4\} {6,7,8,}\{6,7,8, \ldots\} None of the Above {,2,3,4}\{\ldots, 2,3,4\}

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Problem 11540

1. Dion drives a hovercraft at 40 miles per hour on the Mississippi River. How far does Dion travel in 15 minutes?
Dion travels \square miles in 15 minutes.

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Problem 11541

Math 616-1
Three members of a teen hiking group hiked 35\frac{3}{5} of the entire Appalachian trail. The hikers took turns carrying a backpack of supplies. If each teen carried the backpack the same distance, what part of the total distance did each hiker carry the backpack?
In this problem, the numerator is the same number as the \square So the answer will be a \square Each hiker carried the backpack for \square of the total trail distance. Intro Done

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Problem 11542

Calculate the fluid intake in milliliters (mL)(\mathrm{mL}) for the following food items. Please fill in each blank. If the item is not included in 1&O1 \& \mathrm{O}, then write 0 . Assume - a soup bowl holds 4 oz , - a Jell-o cup holds 2 oz, - a glass holds 8 oz .
Calculate the mL , for each item below, that would be included in the patient's intake. 1/21 / 2 bowl tomato soup = \square mL
1 lime Jell-o cup = \square mL 1/21 / 2 quart iced tea == \square mL
1 glass water = \square mL
2 bagels == \square mL
TOTAL == \square mL

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Problem 11543

FUZZIE || 1: Find the GCF: 12 & 26 answer choices A: B: C: 4 2 1 2: Find the LCM: D: Et F: 14 35 28 5&7 G: H I: 5 12 7 3: Find the GCF: 14 & 35 4: Find the LCM: 4 & 12 Type the 4- letter code into the answer box. All CAPS, no spaces.

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Problem 11544

6.57 g=mcg6.57 \mathrm{~g}=\ldots \mathrm{mcg}

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Problem 11545

(4)) Shanti has 32 toys and 40 erasers to divide into prize bags for her friends. Shanti wants each prize bag to have the same number of toys and the same number of erasers. 4) What is the greatest number of prize bags Shanti can make? 41) Use the number pad to enter your answer in the box. (4) The greatest number of prize bags Shanti can make is \square

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Problem 11546

1' Fraction Real as Sin shin Quotient 1/53/75/193/4\begin{array}{l} 1 / 5 \\ 3 / 7 \\ 5 / 19 \\ 3 / 4 \end{array}
2
3 Simplify 6/912/2430/9363/846 / 9 \quad 12 / 24 \quad 30 / 9363 / 84 4) Find the guotient or product (a) 56×23\frac{5}{6} \times \frac{2}{3} (5) 18÷3\frac{1}{8} \div 3 (C) 423×1344 \frac{2}{3} \times 1 \frac{3}{4}

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Problem 11547

Question 67
A client's intake was the following: - 11/411 / 4 cup of coffee (1(1 cup =4oz)==4 \mathrm{oz})= \square mL - 4 oz cranberry juice = \square mL - 11/211 / 2 bowls of chicken broth (1(1 bowl =8oz)==8 \mathrm{oz})= \square mL - 41/241 / 2 glasses of water ( 1 glass =6=6 oz )=)= \square mL - The client voided urine as follows: 360 mL,120 mL,300 mL360 \mathrm{~mL}, 120 \mathrm{~mL}, 300 \mathrm{~mL}, and 225 mL
Calculate the client's intake and output in mL . a. Intake: \square mL b. Output: \square mL

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Problem 11548

Convert 4.22oz4.22 \mathrm{oz} to kilograms. How many kg is that?

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Problem 11549

Convert the ratio of miles to hours (434 miles to 7 hours) into a rate.

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Problem 11550

Multiply and divide fractions, express answers in lowest terms or as mixed numbers. Also, compare plug diameters and calculate areas.

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Problem 11551

1. Shantel studied for 20 minutes and is 14\frac{1}{4} done. How much longer will she study?
2. Damon has added 34\frac{3}{4} of the ingredients with 6 added. How many more does he need to finish?

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Problem 11552

How many minutes to fill a 1-gallon bucket if water drips at 41 drops/min and there are 15,000 drops in a gallon?

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Problem 11553

Complete the table for GCF and LCM. Find Karen's age today if it's a multiple of 9 and was a multiple of 8 five years ago.

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Problem 11554

How many times smaller is 184.36 than 9,027.83? Explain using place value.

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Problem 11555

Harry sold portraits for \$15 each and sketches for \$5 each. If he sold 6 portraits and 13 sketches, how much did he earn?

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Problem 11556

Write 5÷85 \div 8 as a fraction and find an equivalent fraction.

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Problem 11557

Plot the equation 2+2-2 + 2 on a number line.

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Problem 11558

A hot-water bottle has 763 g of water at 73°C. How many kJ of heat transfers to sore muscles if it cools to 37°C?

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Problem 11559

At Maria's school, 3 out of 5 students join a club or sport. With 175 students, find the total participants using equivalent fractions.

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Problem 11560

Omar's headphone plug changes from 1/81/8" to 1/41/4".
a) Does the adapter increase or decrease the diameter? b) How many times larger is the larger plug's diameter? c) By how many inches is the larger plug's diameter greater?

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Problem 11561

Calculate 10×510 \times 5.

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Problem 11562

Find the next two numbers in the sequence: 1,134,212,3141, 1 \frac{3}{4}, 2 \frac{1}{2}, 3 \frac{1}{4}.

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Problem 11563

Next two numbers in the sequence: 7.5,8.75,10,11.257.5, 8.75, 10, 11.25. What are they?

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Problem 11564

Dave cleans pools at 5 pools/hour. What is the ratio of pools to hours?

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Problem 11565

Round 739.96 to: a) nearest whole number, b) one significant figure, c) one decimal place.

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Problem 11566

How many joules are in a bag of chips labeled 245Cal245 \mathrm{Cal}?

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Problem 11567

Calculate 2910÷13-2 \frac{9}{10} \div \frac{1}{3}.

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Problem 11568

Divide 2 by 315 using long division without decimals: 2315\frac{2}{315}.

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Problem 11569

Calculate 31521\frac{315}{21}.

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Problem 11570

Add the numbers 456,791 and 265,513.

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Problem 11571

Multiply 910\frac{9}{10} by the mixed number 2132 \frac{1}{3}.

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Problem 11572

Solve these problems: f. 12÷7812 \div \frac{7}{8} g. 123+(25)1 \frac{2}{3}+\left(-\frac{2}{5}\right) h. 47(38)\frac{4}{7}-\left(-\frac{3}{8}\right) i. 4.05+3.18-4.05+3.18

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Problem 11573

Divide 12 by 78\frac{7}{8} and verify that 2110=2110\frac{21}{10}=2 \frac{1}{10}.

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Problem 11574

Calculate 123+(25)1 \frac{2}{3} + \left(-\frac{2}{5}\right) and 47(38)\frac{4}{7} - \left(-\frac{3}{8}\right).

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Problem 11575

Convert 9.75×105cal9.75 \times 10^{5} \mathrm{cal} to kJ.

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Problem 11576

Divide and simplify: 37÷6=\frac{3}{7} \div 6 =

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Problem 11577

How many bags of chips provide 14.6×103 kJ14.6 \times 10^{3} \mathrm{~kJ} of energy to store 1lb1 \mathrm{lb} of body fat?

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Problem 11578

How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?

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Problem 11579

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: 8,947+12,7838,947 + 12,783.

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Problem 11580

Calculate the heat needed to raise the temperature of an 8.21 g8.21 \mathrm{~g} gold sample by 6.2C6.2^{\circ} \mathrm{C} with specific heat 0.13 J/gC0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}.

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Problem 11581

What is 32,408 in base ten? (A) 32,480 (B) 32,408 (C) 30,248 (D) 30,240

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Problem 11582

Divide and simplify: 1225÷4=\frac{12}{25} \div 4 =

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Problem 11583

How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?

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Problem 11584

How many thorium atoms (240 pm radius) fit in a distance of 1.40 mm1.40 \mathrm{~mm}?

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Problem 11585

Divide and simplify: 29÷23=\frac{2}{9} \div \frac{2}{3} =

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Problem 11586

Alvin rounded 336,457 to 340,000. What place did he round to? (A) Tens (B) Hundreds (C) Thousands (D) Ten thousands

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Problem 11587

Divide and simplify: 815÷45=\frac{8}{15} \div \frac{4}{5} =

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Problem 11588

Find sums or differences that equal 12,492: 8,572+3,9208,572+3,920, 7,279+5,2037,279+5,203, 4,100+8,3924,100+8,392, 15,7283,24615,728-3,246, 19,4126,92019,412-6,920.

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Problem 11589

Divide: 710÷38=\frac{7}{10} \div \frac{3}{8} = in simplest form.

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Problem 11590

Mr. Olson had 16 L16 \mathrm{~L} of paint. After using 3 L250ml3 \mathrm{~L} 250 \mathrm{ml} and 80%80\% of the rest, how much is left?

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Problem 11591

Divide and simplify: 13÷19=\frac{1}{3} \div \frac{1}{9} =

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Problem 11592

Did Lilith walk more steps on Monday than Tuesday? Calculate the difference: 15,25812,47415,258 - 12,474. Is 2,784 reasonable?

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Problem 11593

Calculate 323^{2} and simplify your answer.

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Problem 11594

Calculate (8)2(-8)^{2}. What is the result?

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Problem 11595

Calculate (7)2(-7)^{2}. What is the result?

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Problem 11596

A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.

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Problem 11597

Calculate (38)2\left(\frac{3}{8}\right)^{2}.

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Problem 11598

Find the weight of one mole of pennies if a dozen weigh 6.022×10236.022 \times 10^{23} grams.

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Problem 11599

A scuba diver is at 82 feet deep and descends another 19 feet. What is his new depth as an integer?

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Problem 11600

Simplify (12)5=\left(-\frac{1}{2}\right)^{5}=\square (What is the result?)

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