Answer:
188 balloons
Step-by-step explanation:
First, we have to divide the amount he collected altogether by the price of each balloon that he sold to find out how many balloons he sold:
9632 / 86 = 112 balloons
She sold 112 balloons.
We know that she threw 76 balloons away, therefore, the number of balloons she bought was:
112 + 76 = 188 balloons
Answer:
(48 m^12)/n^8
Step-by-step explanation:
Simplify the following:
3 ((2 m^3)/(n^2))^4
Multiply each exponent in (2 m^3)/(n^2) by 4:
3×2^4 m^(4×3) n^(-2×4)
4 (-2) = -8:
3×2^4 m^(4×3) n^(-8)
4×3 = 12:
(3×2^4 m^12)/(n^8)
2^4 = (2^2)^2:
(3 (2^2)^2 m^12)/(n^8)
2^2 = 4:
(3×4^2 m^12)/(n^8)
4^2 = 16:
(3×16 m^12)/(n^8)
3×16 = 48:
Answer: (48 m^12)/n^8
The equation of the vertical line passing through point -4,7 would be X = -4.
To factor using the reverse of the distributive property, find what common factor the numbers have and what common factor the variables have.
10.
-8x - 16
8 is a factor of both -8 and 16.
The first term has x, but the second term does not, so there is no common variable. The only common factor is 8, or -8.
Factor out a -8:
-8x - 16 = -8(x + 2)
To see if the factorization is correct, multiply the answer using the distributive property. If you get the original expression, then the factorization is correct.
11.
w^2 - 4w
The first term only has a factor of 1. The second term has a 4. There is no common factor between 1 and 4 except for 1, so there is no number you can factor out. The first term has w^2. The second term has w. Both terms have a common factor of w. We can factor out w from both terms.
w^2 - 4w = w(w - 4)
12.
4s + 10rs
4 and 10 have a common factor of 2.
s and rs have a common factor of s.
2 times s is 2s, so the common factor is 2s.
We now factor out 2s
4s + 10rs = 2s(2 + 5r)
