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:
7
Step-by-step explanation:
If each pack of green beans makes 12 bowls of soup then it would take 7 packs to make 84. 84/12=7
Answer:
1. cone
radius, height = 2, 10
volume = 13.33
2. hemisphere
radius= 14
volume = 1829.33
Step-by-step explanation:
The region described has a radius r=2−y/5, therefore, the volume is a cone
radius, height = 2, 10
volume =
= 13.33
2. The region ∫14 0 π(196 - h^2) dh has a radius 196 - h^2, so the volume is a hemisphere
radius = 14
volume
=
=
=1829.33
Answer:
2√10
Step-by-step explanation:
Given the following data;
Area of square = 40
Mathematically, the area of a square is calculated by using the formula;
Area, A = s²
Where;
s is the length of sides of a square.
Substituting into the formula, we have;
40 = s²
s = √40
s = √4 * √10
s = 2 * √10
s = 2√10
There's only one 1 factor and there are no like terms
