Answer:
X= 1/2 Y= 5
Step-by-step explanation:
8x+7y=39-------------(1)--------×2
4x-14y= -68-----------(2)-------×1
16X + 14Y = 78--------(3)
4X- 14Y = -68----------(4)
Addy equation (4) and (3)
20X = 10
dividing bothsides by 20
20X/20= 10/20
X = 1/2
substitute the value of X into equation (1)
8X+7Y = 39
8(1/2)+7Y= 39
4+7Y = 39
7Y = 39-4
7Y = 35
dividing bothsides 7
7Y= 35/7
Y = 5
Answer:
Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.
Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:
15 x 9 = 135
135 - 90 = 45
45/7 = 6.42
6 x 7 + 3 x 15 = 42 + 45 = 87
5 x 7 + 4 x 15 = 35 + 60 = 95
Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.
Answer:
Area of semicircle =( π r2)÷ 2
= 1/2 × 22/7 × 11 ×11
= 11 × 17.5
= 19.25 CM2
Answer:
t = 3
Step-by-step explanation:
Given
- 3 (t - 2) + 7t = 9t - 9 ← distribute left side and simplify
- 3t + 6 + 7t = 9t - 9
4t + 6 = 9t - 9 ( subtract 9t from both sides )
- 5t + 6 = - 9 ( subtract 6 from both sides )
- 5t = - 15 ( divide both sides by - 5 )
t = 3
