The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?

Option:

a. for every 13 dogs, there are 25 cats.

b. there are twice as many cats as dogs at the shelter.

c. the shelter has more dogs than cats.

d. there are 25 animals in the shelter.

a. for every 13 dogs, there are 25 cats.

Step-by-step explanation:

Represent Dogs with D and Cats with C;

So;

By comparison:

This implies that:

For every 13 D, there are 25 C

Hence: Option A is true

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.