MATHEMATICS MIDDLE SCHOOL

If the product of two positive fractions a and b is 15/56, find three pairs for possible values for a and b

Answers

Answer 1
Answer:

Answer

Find out the three pairs for possible values for a and b .

To prove

As given

The\ product\ of\ two\ positive\ fractions\ a\ and\ b\ is\ (15)/(56) .

i.e it is written in the form.

a* b = (15)/(56)

When

a = (3)/(2) , b = (5)/(28)

Than

(3* 5)/(2* 28) = (15)/(56)

When

a = (3)/(4) , b = (5)/(14)

Than

(3* 5)/(4* 14) = (15)/(56)

When

a = (1)/(2) , b = (15)/(28)

Than

(1* 15)/(2* 28) = (15)/(56)

Hence proved
Answer 2
Answer: all you have to do is find pairs of factor for both 15 and 56
e.g. 1,15   3,5 
      1.56    2, 28   4, 14

so three possibilities could be
1/1 x 15/56
3/4 x 5/14 
1/2 x 15/28

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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

A number between 10 and 20 is both a factor of 60 and a multiple of 6. What is this number?

Answers

The number is 12. It's between 10 and 20 and you multiply it by 5 to get 60. 6 times 2 is 12. there you go, hope this helps!

Write a function rule for “The output is 9 less than the input.” Let x be the input and let y be the output.

Answers

Y=X-9

Step-by-step explanation:

Step 1:

Let X be the input and Y be the output variable

Given:  The output is 9 less than the input

Step 2:

Y=X-9 be the require function

Eq:

for X=1, Y = -8

      X=2, Y=-7, etc

A rectangular shaped park has an area of 5/8 where mile. The length of the park is 9/10 mile. What is the width

Answers

Its 9/16 becauae you have to multiply 5/8 and 9/10 and your answer will be 45/80 and reduced its 9/16

3 more than six times a number is 15

Answers

The question is 3 + 6(x) = 15 
so you need to find x 
so you should add -3 on both sides of the equation and you will have:
6(x) = 15 -3 
6(x) = 12 
now you can divide both sides by 6 and you will have:
x = 12/6 
x = 2 :)))
I hope this is helpful
have a nice day

Jack baked 38 biscuits. he can store them in boxes of 10 or as single biscuits. what are all of the different way Jack and stored them biscuits?

Answers

He can individually store all 38, or he can put 3 boxes of ten with 8 individuals, or he can 3 boxes of ten and one box that only contains eight.

Final answer:

Jack can store his 38 biscuits in either three boxes of 10 and 8 individual biscuits, two boxes of 10 and 18 individual biscuits, one box of 10 and 28 individual biscuits, or 38 individual biscuits.

Explanation:

Jack has several combinations for storing his 38 biscuits using boxes of 10 and individual biscuits:

  • Three boxes of 10 and 8 individual biscuits.
  • Two boxes of 10 and 18 individual biscuits.
  • One box of 10 and 28 individual biscuits.
  • 38 individual biscuits (with no boxes of 10).

These are all of the ways that Jack can store his biscuits using boxes of 10 or individually.

Learn more about Storing Biscuits here:

brainly.com/question/34357434

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