The ratio of cats to dogs at the animal shelter is 2: 5.if there are 35 animals total,how many cats are there?

Set up a proportion to describe this relationship. So, for every 2 cats, there is five dogs. Therefore, “c” can represent your unknown quantity for every 35 animals.

2/5 = c/35

Cross multiply, multiplying the numerator/top number of the first fraction/ratio, by the denominator/bottom number in the second fraction/ratio.

2 • 35 = 70

Then, Cross multiply, multiplying the numerator/top number of the second fraction/ratio, by the denominator/bottom number in the first fraction/ratio.

C • 5 = 5c

So, now the problem shows both products as equal to each other.

70 = 5c

To solve for the variable, “c”, you must isolate the variable, by performing the opposite/inverse operation of multiplication, since that will undo the multiplication, for the variable to stand alone. Therefore, divide both sides of the equation by 5.

70/5 = 5c/5

14 = c

So, there is 14 cats out of 35 animals.

The answer is a. y = 2z - 3

Step-by-step explanation:

Find the y-intercept.

             -3 is the y-intercept.

Then you do y2 - y1   over x2 - x1

1 - - 1   /  2 - 1

= 2/1

= 2

y = 2z - 3

Hope I helped ya.

< Sarah >