Numbers & Operations

Problem 301

Consider the following operations on the number 5.46×1025.46 \times 10^{-2} Without using a calculator, decide which would give a significantly smaller value than 5.46×1025.46 \times 10^{-2}, which would give a significantly larger value, or which would give essentially the same value. 5.46×102+8.00×1065.46×1028.00×1065.46×102×8.00×1065.46×102÷8.00×106\begin{array}{l} 5.46 \times 10^{-2}+8.00 \times 10^{-6} \\ 5.46 \times 10^{-2}-8.00 \times 10^{-6} \\ 5.46 \times 10^{-2} \times 8.00 \times 10^{-6} \\ 5.46 \times 10^{-2} \div 8.00 \times 10^{-6} \end{array} \square \square \square \square

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Problem 302

5(7)=-5-(-7)=

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Problem 303

7(4)=7-(-4)=

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Problem 304

8. 1+(3)-1+(-3) is \square units from -1 , in the \square direction.

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Problem 305

A classmate ordered these numbers from greatest to least. Is she correct? Construct an argument to justify your answer. 3.97,3.79,3.9,3.73.97,3.79,-3.9,-3.7
Choose the correct answer below. A. No. -3.9 is to the left of -3.7 on a number line. She should have switched the last two numbers. B. No. 3.97 is to the left of 3.79 on a number line. She should have switched the first two numbers. C. Yes. The numbers are ordered correctly because they go from left to right on a number line. D. Yes. The numbers are ordered correctly because they go from right to left on a number line.

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Problem 306

Divide: 315÷4=315 \div 4=

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Problem 307

6. What integer is 3 more than 5?-5 ?

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Problem 308

Write 100 as a product of prime factors. In your answer, write each prime factor that appears more than once using an exponent. 100=100= \square ×[\times[

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Problem 309

7. Write the number 45053220 in word form
Student First

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Problem 310

Deandre and Mai walk around a track. Deandre walks each lap in 9 minutes. Mai walks each lap in 5 minutes. The two of them begin at the starting line at the same time. They walk until they meet again at the starting line.
Answer the following questions.
How much time does it take for them to meet again at the starting line? \square minutes How many laps does Deandre complete? \square laps How many laps does Mai complete? \square laps

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Problem 311

Question 36 of 80 Time Remaining: 0h : 41 m:8 s41 \mathrm{~m}: 8 \mathrm{~s} 1 gram ==\ldots milligram (mg)(\mathrm{mg}) a 10.0 b 100.0
C 1000.0 d 10000.0 Next

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Problem 312

Question 41 of 80 Time Remaining: Oh : 38m : 32 s 8 ounces == \qquad milliliters( ml ) a 60.0 b 120.0
C 240.0 360.0 Next

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Problem 313

Rewrite the following statement using a number in scientific notation. My new music player has a capacity of 320 gigabytes. (Recall that giga means billion.)
My new music player has a capacity of \square bytes. (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

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Problem 314

Divide. Write your answer as a fraction or mixed number in simplest form. 2732÷(94)\frac{27}{32} \div\left(-\frac{9}{4}\right)

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Problem 315

37. [-/1 Points]
DETAILS MY NOTES EWENMATH12 7.2.063. 0/100 Submissions Used
ASK YOUR TEACHER An automobile uses 19 gal of fuel to go 570 mi . How many gallons are required to travel 860 mi ? (Round your answer to one decimal place.) \square gal

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Problem 316

New Randomization
38. [-/1 Points]

DETAILS MY NOTES EWENMATH12 7.2.064. 0/100 Submissions Used
ASK YOUR TEACHER A fuel pump delivers 15 mL of fuel in 270 strokes. How many strokes are needed to pump 50 mL of fuel? \square strokes

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Problem 317

New Randomization 39. [-/1 Points] DETAILS MY NOTES EWENMATH12 7.2.091. 0/100 Submissions Used
ASK YOUR TEACHER The ratio of beef to pork for meat loaf is 5:25: 2. How much pork is needed (in lb ) if 7 lb of beef is used? \square lb

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Problem 318

Write as a fraction. 0.3250.325

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Problem 319

(2.0 g)(7.0 cm)=?(2.0 \mathrm{~g}) \cdot(7.0 \mathrm{~cm})=?

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Problem 320

(a) Determine by observation whether the difference will be a positive number, zero, or a negative number. (b) Find the difference using your calculator. 381380381-380 (a) The difference is \square . (b) 381380=381-380= \square

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Problem 321

Suppose a temperature of 125F-125^{\circ} \mathrm{F} was recorded in Antarctica and a temperature of 118F118^{\circ} \mathrm{F} was recorded in the Sahara Desert. How many degrees warmer is 118F118^{\circ} \mathrm{F} than 125F-125^{\circ} \mathrm{F} ? 118F118^{\circ} \mathrm{F} is \square degrees warmer than 125F-125^{\circ} \mathrm{F}.

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Problem 322

Choose ALL of the operations for which the numbers in the operation must be like numbers, i.e., they must be expressed in the same unit.
Select Answer(s) multiplication subtraction exponentiation division addition

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Problem 323

9,678×4,145=9,678 \times-4,145=

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Problem 324

Hershey's bar were purchased at \$9 per dozen and sold at \$1.25 each. Find the profit on 15 dozen Hershey's bar.

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Problem 325

Then amount of bill is a) 1456₹ 1456 b) ₹ 1120 c) ₹ 525

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Problem 326

The nurse retrieves hydromorphone " 4mg/mL4 \mathrm{mg} / \mathrm{mL}^{\text {" }} from the electronic medication system, for a patient who is receiving hydromorphone 3 mg IM every 6 hours PRN for severe pain. How many mL should the nurse administer to the patient? (Enter the numerical value only. If rounding is required, round to the nearest tenth.)
The nurse needs to administer hydromorphone 3 mg to the patient. The concentration of the hydromorphone solution is 4mg/mL4 \mathrm{mg} / \mathrm{mL}. To find out how many mL the nurse should administer, we can use the formula:

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Problem 327

6(1)=-6-(-1)=

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Problem 328

12(8)=-12-(-8)=

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Problem 329

9th Maths-Qtly-NMKL-Pa

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Problem 330

4. Which of the following numbers is less than 2142 \frac{1}{4} ? A. 2.30 B. 250%250 \% C. 52\frac{5}{2} D. 2152 \frac{1}{5}

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Problem 331

20. Write the rational numbers for the decimal expression 2.3272 . \overline{327}.

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Problem 332

A certain sum of money will amount to 19600₹ 19600 at the rate of 8%8 \% per annum simple interest at the end of 5 years. Find the money.

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Problem 333

1) (45)2\left(\frac{4}{5}\right)^{2}; 2) (23)2\left(-\frac{2}{3}\right)^{2}; 3) (112)2\left(1 \frac{1}{2}\right)^{2}; 4) (214)2\left(-2 \frac{1}{4}\right)^{2};

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Problem 334

Grade 7 Word Problems Set 1 1) Kara was interested in going to the mall to buy some new clothes. Once she got there she purchased two shirts that cost $13.42\$ 13.42 total. If she started out with $40.00\$ 40.00, what percentage of her money did she spend?

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Problem 335

Divide. Give the quotient and remainder. 58÷758 \div 7
Quotient: \square
Remainder: \square

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Problem 336

Tom has 16 books and some empty boxes. He can put 5 books in each box. How many boxes can he fill completely? How many books will be left over?
Number of boxes he can fill completely == \square
Number of books left over == \square

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Problem 337

1W 1:00-2:15pm (Section 096) - iCollege Jaiden Sargent 09/08/24 Models and Applications Question 8, 1.3-12 HW Score: 63.64%,763.64 \%, 7 of 11 points Points: 0 of 1 Inclusive of a 7.7%7.7 \% sales tax, a diamond ring sold for $2,046.30\$ 2,046.30. Find the price of the ring before the tax was added. (Round to the nearest cent, if necessary.) A. $157.57\$ 157.57 B. $1,888.73\$ 1,888.73 C. $1,900.00\$ 1,900.00 D. $2,203.87\$ 2,203.87

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Problem 338

Activity 6: individual work The distance from Johannesburg to Cape Town is 1266 km . A flight takes 2 hours 10 minutes to travel that distance. 6.1. If the plane leaves OR Tambo International airport at 09 H 40 , at what time will it arrive in Cape Town: \qquad \qquad \qquad \qquad

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Problem 339

21 a) 55103=5,510x55 \cdot 10^{-3}=5,5 \cdot 10^{x} b) 625106=6,2510x625 \cdot 10^{-6}=6,25 \cdot 10^{x} c) 81104=8,110x81 \cdot 10^{-4}=8,1 \cdot 10^{x}

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Problem 340

An employee in the 12%12 \% tax bracket invests $2000.00\$ 2000.00 in a Roth IRA. When the employee retires, her salary is in the 22%22 \% tax bracket. What tax will be assessed on the initial investment when it opens? A. Not enough information to answer B. $240.00\$ 240.00 C. $440.00\$ 440.00 D. Since the employee used a Traditional IRA, she will pay no taxes on her investment when it opens.

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Problem 341

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

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Problem 342

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $520\$ 520 and the annual interest rate is 2.9%2.9 \% ?  Interest = $[?\text { Interest = } \$[?
Round your answer to the nearest hundredth.

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Problem 343

10!4!8!6!\frac{10!\cdot 4!}{8!\cdot 6!}
Opciones: - a) 2 - b) 4 - c) 8 - d) 16

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Problem 344

Solve. If needed, round amounts to one decimal place. The number 145 is what percent of 470?470 ?
The number 145 is \square %\% of 470 .

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Problem 345

Multiply 8(18)-8 \cdot(-18).

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Problem 346

A snail moves a distance of 14 cm 1 point in 35 min . What is its speed, in metres per second?

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Problem 347

Divide. 66÷(11)-66 \div(-11)

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Problem 348

Calcute: (3.5×107)÷(7.0×108)\begin{array}{l} \left(3.5 \times 10^{7}\right) \div \\ \left(7.0 \times 10^{8}\right) \end{array}

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Problem 349

\text{The larger room is twice as wide as the smaller room. How wide is the larger room?} \\ \text{Given:} \\ \text{Width of the smaller room: } 5 \text{ feet} \\ \text{Width of the larger room: } 2 \times 5 \text{ feet} = 10 \text{ feet} \\ \text{Therefore, the width of the larger room is } 10 \text{ feet.} \\

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Problem 350

Whe the decimal as a fraction or a mixed number White your ansucr in singleat font 04 0.4=0.4= \square (Simplify your ansmer)

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Problem 351

Write the fraction as a decimal. 26100\frac{26}{100} 26100=\frac{26}{100}= \square (Type a decimal)

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Problem 352

(1.84×1015)(7.45×102)\left(1.84 \times 10^{15}\right)\left(7.45 \times 10^{-2}\right)

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Problem 353

- Sample B has a mass of 12.0 g and a volume or 0.0 - Sample C has a mass of 12.0 g and a volume of 3.0 ml .
10. A graduated cylinder contains 17.5 ml of water. When a metal cube is placed onto the cylinder, its water level rises to 20.3 ml . Calculate the following: - Volume of the cube: \qquad ml - Volume of the cube \qquad cm3\mathrm{cm}^{3}

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Problem 354

Convert . 58 m to cm . .58 m ??? cm.58 \mathrm{~m} \square \text { ??? } \mathrm{cm}
Tap arrows to move the decimal point.
On a calculator, this conversion would involve ... Tap Me!! \square by \square Tap Me!!

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Problem 355

The sum of 3 consecutive integers is 42. Which integers are they? \square \square ,
Submit \square

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Problem 356

Insent <,><,> of = befween the pair of numbers to form a true statement 0.550 .56

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Problem 357

828010064=8^{2} \cdot 8^{0}-\sqrt{100}-\sqrt{64}=

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Problem 358

Stretch
Numbers can be operated on using operations other than addition, subtraction, multiplication, and division. Let's define a new operation called \leftarrow, where 24=22÷42 \diamond 4=2^{2} \div 4 and 6 3=66÷33=6^{6} \div 3. Is the set of whole numbers closed under the operation *? That is, does aba \star b, where aa and bb are whole numbers, always result in a whole number? Justify your claim. x\sqrt{x} B I U\underline{U}

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Problem 359

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $940\$ 940 and the annual interest rate is 2.6%2.6 \% ?  Interest = $[?]\text { Interest = } \$[?]
Round your answer to the nearest hundredth.

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Problem 360

How much interest is earned on a CD with a 2 year fixed maturity, if the initial investment is $680\$ 680 and the annual interest rate is 3.6%3.6 \% ?
Interest = \? ? \square$ Round your answer to the nearest hundredth.

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Problem 361

5687=\frac{5}{6} \cdot \frac{8}{7}=

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Problem 362

(8,43,7)2+8,21(8,4-3,7)^{2}+8,21

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Problem 363

2.) 3285=\frac{32}{85}=

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Problem 364

Schreibe als Bruch und kürze. 2%;25%;70%;4%;44%2 \% ; 25 \% ; 70 \% ; 4 \% ; 44 \%

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Problem 365

8÷32=8 \div \frac{3}{2}=

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Problem 366

Kelly has a special savings account she uses to save for her next vacation. Yesterday, she deposited $65\$ 65 in that account.
What integer represents the change in Kelly's account balance? \square dollars

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Problem 367

Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
How much soy sauce does Bonnie mix with every 1 milliliter of vinegar? \qquad milliliters How much vinegar does Bonnie mix with every 1 milliliter of soy sauce? \square milliliters

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Problem 368

1256\frac{1}{256}
In Potenzen Schreibweise

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Problem 369

1. 6254\sqrt[4]{625}

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Problem 370

Complete the following parts without a calculator. a) 71.627-1.62 is the same as \square 1.6-1.6

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Problem 371

Write the following ratio using two other notations. 5 to 85 \text { to } 8
Use only the numbers above (not any others).

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Problem 372

9.4 Exactly 8 years ago Tashil invested R30 000 in an account earning 6,5\% per annum, compounded monthly. 9.4.1 How much will he receive if he withdrew his money today? 9.4.2 Tashil withdrew R10 000 three years after making the initial deposit and re-invested R10 000 five years after making the initial deposit. Calculate the difference between the final amount Tashil will now receive after eight years and the amount he would have received had there not been any transactions on the account after the initial deposit.

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Problem 373

The pH of pure water is \qquad because \qquad
Multiple Choice 7.0; water contains an equal number of H+\mathrm{H}^{+}ions and OH\mathrm{OH}^{-}ions 14.0; water contains more OH\mathrm{OH}^{-}ions than H+\mathrm{H}^{+}ions 1.0; water contains more H+\mathrm{H}^{+}ions than OH\mathrm{OH}^{-}ions 7.0; there are no ions formed in pure water 5; because pure water lacks minerals

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Problem 374

Suppose that you find in a reference book that the volume of all the oceans is 1.4×109 km31.4 \times 10^{9} \mathrm{~km}^{3}. To find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. What is this volume in cubic meters?
Express your answer in cubic meters. View Available Hint(s)
Hint 1. Find the conversion factor \square 1.4×109 km3=1.4 \times 10^{9} \mathrm{~km}^{3}= \square m3\mathrm{m}^{3}

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Problem 375

d. 3,209 6x6\frac{6}{x \quad 6}

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Problem 376

Question
Convert 8110\frac{81}{10} into a mixed number.

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Problem 377

Divide. Write your answer in simplest form. 710÷516\frac{7}{10} \div \frac{5}{16}

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Problem 379

Story Problems Read the story carefully to understand the problem.
2. Decide what kind of problem it is addition, subtraction, multiplication, or division. -What are the facts? -What is the question?
3. Solve by writing and working the problem.
4. Check your work. - Read the question again and see if your answer makes sense. - If not, go back and find your mistake. (5) Read the story. Mark the O next to the sentence that tells the best way to solve the problem.

On Monday, Olivia's Leghorn hens laid some white eggs, and her Plymouth Rock hens laid some brown eggs. How many eggs did Olivia's hens lay on Monday? Subtract the brown eggs from the white eggs. Subtract the white eggs from the brown eggs. Add the white eggs and the brown eggs. Multiply the brown eggs times the white eggs. (6) Solve each story problem. Remember to label your answer. a. In the bag of jellybeans, there are 97 red jellybeans, 45 green jellybeans, 68 yellow jellybeans, and 84 black jellybeans. How many jellybeans are in the bag? \qquad b. About 1 million jellybean centers can be manufactured in 1 hour. How many jellybean centers can be manufactured in 17 hours? (7) Read the story. Mark the O next to the kind of problem. a. The grocery store worker stocked the freezer with 23 boxes of buttermilk waffles, 19 boxes of cinnamon waffles, 32 boxes of blueberry waffles, and 12 boxes of chocolate chip waffles. How many boxes of waffles did the worker put in the freezer? b. Mrs. Taylor made 30 waffles for her family. When breakfast was over, there were 7 waffles left. How many waffles did the Taylor family eat? ++ O- xx ÷\div \qquad Workspace \qquad \qquad \qquad d. Danny ate 6 waffles and Thomas ate 9. How many more waffles did Thomas eat than Danny? c. If there are 8 waffles in a box of frozen waffles, how many waffles are in 11 boxes? ++ - xx ÷\div ++ - xx ÷\div e. Mr. Foster's class went on a picnic. Each picnic table at the park seats 6 people. If there are 36 students and adults, how many tables will be used? ++ - xx ÷\div Lesson 8 14 Arithmetic 4

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Problem 380

2. Find the interval on the number line. Then locate the numbers on the line. 3 In each group, circle the 2 numbers that would be closest to each other

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Problem 381

23) 50 is 20%20 \% of what number? 25) 24%24 \% of what is 200 ?

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Problem 382

12. \qquad Order: Give Med X 5mg/kg/5 \mathrm{mg} / \mathrm{kg} / day in two divided doses. The patient is 225 lbs . Available is ora suspension 250mg/5 mL250 \mathrm{mg} / 5 \mathrm{~mL}. How many mL will be given to the patient for each dose?

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Problem 383

Drag the numbers below to put them in order from least to greatest: 3.7023.7853.633.6213.63.73\begin{array}{llllll} 3.702 & 3.785 & 3.63 & 3.621 & 3.6 & 3.73 \end{array}

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Problem 384

18251825=\begin{array}{l}\frac{18}{25} \\ \frac{18}{25}=\end{array}

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Problem 385

7. Ellen's dad spends $5\$ 5 a week on newspapers. a) How much less newspaper money will he have 8 weeks from now?

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Problem 386

(27)6=\left(\frac{2}{7}\right)^{6}=

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Problem 387

(21)1=(21)^{1}=

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Problem 388

Decide whether each proposed multiplication or division of measurements is possible. If it is possible, write the result in the last column of the table. \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} proposed \\ multiplication or \\ division \end{tabular} & \begin{tabular}{c} Is this \\ possible? \end{tabular} & result \\ \hline(2.0 g)(0.026 kg)=?(2.0 \mathrm{~g}) \cdot(0.026 \mathrm{~kg})=? & \begin{tabular}{c} yes \\ no \end{tabular} & \square \\ \hline(8.0 kg)(3.0 m)=?(8.0 \mathrm{~kg}) \cdot(3.0 \mathrm{~m})=? & \begin{tabular}{l} yes \\ yo \end{tabular} & \square \\ \hline(7.0 kg)(1.0 kg)=?(7.0 \mathrm{~kg}) \cdot(1.0 \mathrm{~kg})=? & \square yes \\ & \\ \hline \end{tabular}

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Problem 389

16×16\frac{1}{6} \times \frac{1}{6}

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Problem 390

Simplify the expression. 2783\sqrt[3]{\frac{-27}{8}}
Enter the exact answer. Hint: You can write roots as fractional exponents, for example 2783\sqrt[3]{\frac{-27}{8}} as (27/8)(1/3)(-27 / 8)^{\wedge}(1 / 3). However, the answer to this question is a fraction without needing a rowt symbol.

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Problem 391

whyt is the velke of, 25 .

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Problem 392

Simplify the expression. 2783\sqrt[3]{\frac{-27}{8}}
Enter the exact answer. Hint: You can write roots as fractional exponents, for example 2783\sqrt[3]{\frac{-27}{8}} as (27/8)(1/3)(-27 / 8)^{\wedge}(1 / 3). However, the answer to this question is a fraction without needing a root symbol.

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Problem 393

What is the percent increase of a rise in temperature from 8080^{\circ} to 100100^{\circ} ?

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Problem 394

Simplify the expression. 2783\sqrt[3]{\frac{-27}{8}}
Enter the exact answer. Hint: You can write roots as fractional exponents, for example 2783\sqrt[3]{\frac{-27}{8}} as (27/8)(1/3)(-27 / 8)^{\wedge}(1 / 3). However, the answer to this question is a fraction without needing a root symbol.

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Problem 395

E.7. You can click on the Review link to access the section in your e Text.
Total U.S. National Park System land occupies 84.4 million acres. How many square miles is this? (Note that 1 acre =43,560ft2=43,560 \mathrm{ft}^{2} and 1 mile =5280ft=5280 \mathrm{ft}.) Express your answer in square miles to three significant figures.
Submit Request Answer
Part B
Total U.S. land area is 3.537 million square miles. What percentage of U.S. land is National Park System land ? Express your answer in percent to three significant figures.

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Problem 396

Write 116\frac{1}{16} as a decimal number. Submit

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Problem 397

5. Colour in the base ten blocks you would use to make the number: 1,485 \square \square \square \square \square \square III \square \square \square WWmm \square \square \#\#\#\#\# \square \square \square \square (1) 0

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Problem 398

Evaluate the following expression, or state that the root is not a real number. 16+9\sqrt{16+9}

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Problem 399

70. How many numbers between 50 and 100 are evenly divisible by 3 ? A. 16 B. 17 C. 18 D. 33

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Problem 400

Use the currency exchange rates in the table for the following question.
Your dinner in Mexico City cost 2680 Mexican pesos. How much was it in U.S. dollars? \begin{tabular}{lll} \multicolumn{1}{c}{ Currency } & \begin{tabular}{c} Dollars per \\ Foreign \end{tabular} & \begin{tabular}{c} Foreign per \\ Dollar \end{tabular} \\ British pound & 1.356 & 0.7376 \\ Canadian dollar & 0.7828 & 1.277 \\ European euro & 1.225 & 0.8165 \\ Japanese yen & 0.009694 & 103.2 \\ Mexican peso & 0.05035 & 19.86 \end{tabular}
Your dinner cost \ \square$ in U.S. dollars. (Round to two decimal places as needed.)

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