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Answer:
9 cookies per dollar
Step-by-step explanation:
This is a fraction equal to
36 cookies ÷ 4 dollars
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
36 cookies ÷ 4
--------------------------
4 dollars ÷ 4
=
9 cookies
---------------
1 dollar
=
9 cookies
-----------------
dollar
= 9 cookies per dollar
Kate can travel 41.33 miles without exceeding her limit. This problem can be solved by using y = 2.25x + 7 linear equation with the "y" variable as the total cost that Kate must pay after she has traveled with the cab and the "x" variable as Kate's traveling distance. The equation has 7 for its constant value which is the $7 flat rate. We will find 41.33 miles as the traveling distance if we substituted the total cost with 100, which is the maximum amount that can be paid by Kate for the traveling purpose.
Answer:

If you compare this to
, then
and
.
Step-by-step explanation:
We are given
and we are asked to find the value of
.
So we will need to find
.

Square both sides:

Expand using identity:
.



Let's go back to the full
.




If you compare this to
, then
and
.