Step-by-step explanation:
3x + 5y = 50
x + 5y = 31
use substitution
x = 31-5y
3(31-5y) +5y = 50
93 -15y + 5y = 50
93 - 10y = 50
--10y = -43
y = 43/10 = $4.30 for kids
now solve for x
x + 5(4.30) = 31
x + 21.5 = 31
x = $9.5 for adults
Answer:
$899.15
0.85(1199) - 120
Step-by-step explanation:
To find the purchase total, multiply the price by the percent paid and subtract the certificate.
The store offers a 15% discount. This means you pay 85% of the price. So the discounted price is 0.85(1199) = 1019.15
Subtract the certificate 1019.15 - 120 = 899.15
The composite function is 0.85(1199) - 120.
Step-by-step explanation:
can't really use the Pythagorean because you don't know this is a right triangle.
use the fact that they are similar
so
3/6 = x/12 where x is FE
cross multiply
6x = 36 therefore FE = 6
then 6/12 = y/9 where y is FD
cross multiply
12y = 54 = 54/12 therefore FD = 4.5
Answer: 
Step-by-step explanation:
Given
The inequality is 
adding both side 7

Multiply both sides by 

the shaded region in the figure indicates the solution set.
Answer: is D
Step-by-step explanation: