4/5 of sarah's pens are equal to 1/3 of matt's pens. express the number of matt's pens as a fraction of the total number of pens he and sarah have.

Fraction is

Step-by-step explanation:

Let x be the number of Matt's pen

and y be the number of Sarah's pen

4/5 of Sarah's pen (y) = 1/3 of Matt's pen (x)

So equation becomes

Solve for y

Multiply both sides by 5/4

Total number of Matt's and Sarah's pen = x+y

Total number of pens =

Take LCD 12

Now add the numerators

To express the number of Matts pens as a fraction

We divide the number of Matt's pen 'x'  by the total number of pens

we cancel out x at the top and bottom

Take reciprocal of 17/12 and multiply with top 1

So answer is 12/ 17

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

19

step-by-step explanation: