At a children's show, 2/7 of the people attending were adults. The rest were children.2/5 of the children were boys. There were 120 girls attending the performance. A. How many children were there at the children's show?B. How many people were there at the children's show?

A. 200 Children

B. 280 People

Step-by-step explanation:

Let the total number of people attending the show be Y

Given that  2/7 of the people attending were adults, the number of adults A

A = 2/7 Y

Since the rest were children, the number of children C

C = Y - 2/7 Y

= 5/7 Y

2/5 of the children were boys, the number of boys B

B = 2/5 * 5/7Y

= 2/7 Y

The number of Girls G

G = 5/7 Y - 2/7 Y

= 3/7 Y

Given that there were 120 girls attending the performance

3/7 Y = 120

3Y = 120 * 7

Y = 120 * 7/3

= 280

The number of children in the shown C

= 5/7 * 280

= 200

The number of people at the show is Y = 280

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

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb