Dont tell me the answer just explain it to me how to do it: josie makes invitations for his aunt's stationary company. of all the invitations josie's made,15/21 are childrens party invitations. of those invitations, 3/5 are animal themed. what fraction of josie's invitations are animal themed

3/7 represents fraction of Josies invitation which are animal themed.

Step-by-step explanation:

For simplification purpose lets assume total number of invitations Joise made equal to x.

given that out of total cards made by Joise  , 15/21 are children party invitation.

⇒ number of children's party invitation = 15/21 of x = 15x/21.

Also given that out of children's party invitation  , 3/5 are animal themed.

⇒number of animal themed invitation = 3/5 of number of children's party invitation =  3/5×15x/21 = 45x/105=3x/7

so fraction of josie's invitations which are animal themed = number of animal themed invitation ÷ total number of invitations Joise made

= 3x/7 ÷ x = 3/7

hence 3/7 represents fraction of josies invitation which are animal themed.

you can also directly solve it by multiplying fraction of children's party and given fraction of animal themed that is 15/21 × 3/5 = 3/7

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.