Question

George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging? (5 points) 9 and 1 over 2 multiplied by 1 over 4 9 and 1 over 2 plus 1 over 4 9 and 1 over 2 divided by 1 over 4 9 and 1 over 2 minus 1 over 4 4. (02.01 HC) Freddy has a shelf that is 72 over 5 inches wide. How many catalogs can Freddy arrange on the shelf if each catalog is 4 over 5 of an inch thick? (5 points) 11, because the number of catalogs is 72 over 5 divided by 5 over 4 12, because the number of catalogs is 72 over 5 multiplied by 4 over 5 16, because the number of catalogs is 72 over 5 multiplied by 5 over 4 18, because the number of catalogs is 72 over 5 divided by 4 over 5 5. (02.02 LC) Convert 16 over 5 to a decimal using long division. (5 points) 3.2 3.4 4.2 4.4 6. (02.02 LC) How can 33 over 9 be expressed as a decimal? (5 points) 2.3 with bar over 3 3.6 with bar over 6 4.3 with bar over 3 4.6 with bar over 6 7. (02.02 LC) Which of the following numbers can be expressed as repeating decimals? (5 points) 4 over 7 , 2 over 5 , 7 over 8 , 4 over 9 7 over 8 and 4 over 9 4 over 7 and 2 over 5 4 over 7 and 4 over 9 2 over 5 and 7 over 8 8. (02.02 LC) Which of the following rational numbers is equal to 4 point 7 with bar over 7 ? (5 points) 43 over 9 , 49 over 9 , 35 over 9 , 32 over 9 43 over 9 49 over 9 35 over 9 32 over 9 9. (02.03 MC) Benny opened a bank account. He deposited $92.50 into his account every month for 10 months. He used $36.50 every month to pay for art lessons. After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists. What is the total amount of money Benny spent to go to the summer camp? (5 points) $140.00 $280.00 $420.00 $440.00 10. (02.03 MC) Mini earned $160 during the summer doing chores. She bought 3 dresses worth $12 each using her chore money. How much money was left after she bought the dresses? (5 points) $112 $124 $136 $148 11. (02.03 HC) Ryan's tennis club membership, which is $11, is deducted automatically from his bank account every month. Which expression shows the total deductions for the year? (5 points) (−$11) ÷ 12 (−$11) ⋅ 12 (−$11) − 12 (−$11) + 12 12. (02.03 HC) A submarine is diving to a total depth of 45 feet. It descends 15% of the total depth in 1 minute. How deep will the submarine be after 4 minutes? (5 points) −6.75 feet −27 feet −13.5 feet −20.25 feet

Answer 1

Answer:

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7  and  4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

Step-by-step explanation:

Part 1)

Let

x ------> the number of days

we now that

The total distance jogged must be equal to the distance jogged each day multiplied by the number of days

$9\frac{1}{2}=\frac{1}{4}x$

Solve for x

$x=\frac{9\frac{1}{2}}{\frac{1}{4}}$

therefore

The number of days is

9 and 1 over 2 divided by 1 over 4

Part 2)

Let

x ----> the number of catalogs

we know that

To find out the number of catalogs, divide the wide of the shelf by the thick of each catalog

$x=\frac{\frac{72}{5}}{\frac{4}{5}} =\frac{72}{4}= 18\ catalogs$

therefore

18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) Convert 16 over 5 to a decimal

we know that

$\frac{16}{5}=16(\frac{1}{5})=16(0.2) =3.2$

Part 4) How can 33 over 9 be expressed as a decimal?

we know that

$\frac{33}{9}= 3.666666...$ ----> is a repeating decimal

therefore

3.6 with bar over 6

Part 5) Which of the following numbers can be expressed as repeating decimals?

Verify each case

case a) 4 over 7

$\frac{4}{7}= 0.571428571428571428...$ ----> is a repeating decimal

case b) 2 over 5

$\frac{2}{5}=0.40$ ----> is a terminating decimal

case c) 7 over 8

$\frac{7}{8}=0.875$ ----> is a terminating decimal

case d) 4 over 9

$\frac{4}{9}=0.44444...$ ----> is a repeating decimal

therefore

4 over 7  and  4 over 9

Part 6) Which of the following rational numbers is equal to 4 point 7 with bar over 7 ?

Verify each case

case a) 43 over 9

$\frac{43}{9}= 4.77777...$

case b) 49 over 9

$\frac{49}{9}= 5.444444...$

case c) 35 over 9

$\frac{35}{9}= 3.888888...$

case d) 32 over 9

$\frac{32}{9}= 3.55555...$

therefore

43 over 9

Part 7)

we know that

1)Benny deposited $92.50 into his account every month for 10 month

so

$\ 92.50(10)=\ 925.00$

2) He used $36.50 every month to pay for art lessons

$\ 925.00-10(\ 36.50)=\ 560.00$ -----> total money left in his account after 10 months

3) After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists

so

$(1/2)(\ 560)=\ 280.00$

therefore

Benny spent to go to the summer camp $280.00

Part 8)

we know that

1) Mini earned $160 during the summer doing chores

2) She bought 3 dresses worth $12 each using her chore money.

so

$3(\ 12)=\ 36$

To find out how much money was left, subtract $36 from the amount earned during the summer doing chores

$\ 160-\ 36=\ 124$

therefore

$124

Part 9)

we have

1 year=12 months

Let

x ----> the total deductions for the year

we know that

The total deductions for the year is equal to the Ryan's tennis club membership multiplied by the number of a months in a year

so

$x=(-\ 11)12=-\ 132$

therefore

(−$11) ⋅ 12

Part 10)

we know that

The total depth of a submarine is 45 ft

$15\%=15/100=0.15$

15% of 45 ft is

(0.15)(45)=6.75 ft

using proportion

Find out the deep after 4 minutes

Let

x ----> the deep after 4 minutes

$\frac{6.75}{1}\frac{ft}{min}=\frac{x}{4}\frac{ft}{min}\\\\x=6.75(4)\\\\x=27\ ft$

therefore

-27 ft

Answer 2

Answer:

Part 1) 9 and 1 over 2 divided by 1 over 4

Part 2) 18, because the number of catalogs is 72 over 5 divided by 4 over 5

Part 3) 3.2

Part 4) 3.6 with bar over 6

Part 5) 4 over 7  and  4 over 9

Part 6) 43 over 9

Part 7) Benny spent to go to the summer camp $280.00

Part 8) $124

Part 9) (−$11) ⋅ 12

Part 10) -27 ft

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