explain how you can use multiplication to find the quotient 3/5 divided by 3/15. then evaluate the expression

Answers

Answer 1

Answer:

we know that

Dividing is the opposite of multiplying. Therefore, dividing by a fraction can be accomplished by multiplying by its reciprocal

$((a)/(b))/((c)/(d)) =(a)/(b)*(d)/(c)$

in this problem we have

$(a)/(b)=(3)/(5)\n \n(c)/(d)=(3)/(15)$

substitute in the formula above

$((3)/(5))/((3)/(15)) =(3)/(5)*(15)/(3)=3$

therefore

the answer is

$3$

Answer 2

Answer: $(3)/(5)$ ÷ $(3)/(15)$

⇒ $(3)/(5)$ × $(15)/(3) = (45)/(15) = 3$

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Solve and then use estimation to make sure your answer is reasonable. Kyle can read 22 pages of his book in an hour. Kyle read for 114.5 hours last summer.

How many pages did Kyle read last summer?

Answers

You would round the answer by rounding

114.5 rounds down to 100
22 rounds down to 20

100×20=2,000

The real answer is 2,519. This is close to 2,000, so this answer is reasonable.

114.5 x 22 = 2,519
she read about 2,500 pages last summer

2.5 feet is greater than, less than, or equal to 32 inches

Answers

it is less than 2.5 feet is 30 inches

Since there is 12 inches per feet, 2.5 feet gives you
2(12 inches) + 1/2 (12 inches) = 24 + 6 = 30
So, 2.5 feet is 30 inches, which is less than 32 inches

12 + 5x > 2 ( 8x - 6 ) - 7x

x > what number?

Answers

12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is$2.60. Erik has a coupon for 5% off his groceries. He does not need to pay tax. He gives the cashier $20 How much change does he receive back?

Answers

$3.80 + 2.60=$6.40 *.05=$5.08

$20.00-$5.08=$14.92

3.80+2.60=6.40$ money that erik need to pay
6.40$ x .05=.32 (.05 represent the 5% coupon)
6.40$ - .32=6.08subtract the percent of the coupon to find the total bill of erik
20$ - 6.08=13.92$ subtract the money that erik needs to the 20$
13.92$ would be the change that erik receive back

Six plus four fifths A equals nine tenths A

Answers

6+4/5a=9/10a
make bottom numbers same
into 10
60/10+8/10a=9/10a
minus 8/10a from both sides
60/10=1/10a
multiply both sides by 10
60=a

Caroline has 16 marbles 1/8 of them are blue how many of Caroline's marbles are blue

Answers

2 . You have to divide 16 by 8. you get 2 . Hoped that helped

Here's another way; You divide 1 by 8, because 1/8 is equal to 1 ÷ 8, and 1 ÷ 8 is equal to (0.125). So if you multiply 1.25 by 16 you'll get 2. Hope this way helps, if you're confused I don't blame you. xD

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