Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys

In a class of 87 boys, there will be 29 girls.

Step-by-step explanation:

Givens

Ratio

25 girls

75 boys.

Class size = 87 boys

Proportion

25 girls /75 boys = x / Class Size

Solution

Class size = 87 boys

25/75 = x / 87                  Multiply both sides by 87

25 * 87 / 75 = 87 x/ 87    Multiply 87 *25

2175 / 75 =  x                   Divide by 75

29 = x

a. she will receive a refund of $278.

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl