Answer: A
Step-by-step explanation:
Just took the test
Cross multiply first. You would get 6x=4, and divide both sides by 6, which would get you 4/6 which simplifies into 2/3.
Answer:
3528 inches
Step-by-step explanation:
If you take the length of the bookcase (84 inches) and divide it by two you get 42 inches. 42 inches is half of 84 inches. To find the area of the section of the wall the bookcase will cover, you have to take 84 and multiply it by 42. If you do this, you get the answer, which is 3528 inches. Apologies if I'm wrong, but I'm sure that I am 99.99% right.
Answer:
The number of hours Jackie worked = 80hours
Step-by-step explanation:
Last summer:
Jackie made $960
Rachel made $960
let number of hours Jackie worked = x
Rachel worked 16 hours more than Jackie:
Number of hours Rachel worked = x + 16
if Jackie earned $y per hour
Rachel earned $2 less per hour = y-2
Jackie: 960 = x × y = xy
Rachel: 960 = (x+16)(y-2)
960 = xy -2x +16y -32
recall xy = 960, insert the value for xy
960 = 960 - 2x +16y -32
- 2x +16y -32 = 0
2x -16y = -32
x-8y = -16
x = 8y-16
recall xy = 960, insert the expression for x
(8y-16)y = 960
8y² -16y = 960
y² -2y - 120 = 0
y²+10y-12y -120 = 0
y(y+10) -12(y+10) = 0
(y-12) = 0 or (y+10) = 0
y = 12 or -10
since y can't be negative, y = 12
x = 8y-16
x = 8(12) -16 = 80
The number of hours Jackie worked = x = 80 hours
Answer:
x = 11 ,
<APT = 6x + 1 ➡ 67°
<PTA = 9x - 24 ➡75°
<PAT = 5x - 17 ➡ 38°
Step-by-step explanation:
(5x - 17) + (9x - 24) + (6x + 1)=180°
20x - 40 = 180°
20x = 180° + 40°
20x = 220°
x = 11
