1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t
t ≤ 16
D.
2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.
3. c = .8(x-15) = .8x-12
A.
4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes
6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.
5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2
7. (sorry I'm not sure!)
8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76
10. J
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We can find the radius from the diameter
r = d/2 = 34/2 = 17
V = (3.14) (17)^2 * 27
V =24501.42 m^3
The surface of a cone is found by
SA = pi r^2 + pi r l where l is the slant height
We can find the radius from the diameter
r = 8/2 = 4
SA =(3.14) * 4^2 + 3.14 * 4*7
=50.24+87.92
138.16 in^2
The lateral surface area of a pyramid is found by taking the area of the sides
LSA = 4 * the area of a triangle
we multiply by 4 since there are 4 sides
= 4 * 1/2 b*h where b is the base of the triangle and h is the height of the triangle. (in this case it would be the slant height)
= 2 * 8 *22
=352 m^2
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
Answer:
I think it's
B. UV radiation from the Sun causes overheating of transformers.
Sorry if i'm wrong.
Answer:
$189.75
Step-by-step explanation:
Whenever you want to find the percent of something, you need to turn the percent into a decimal. In this case, we need to find 115% of the wholesale price because there is a markup, so the cost will be higher.
115% as a decimal is 1.15. Here is how the equation will be set up:
$165 • 1.15 = $189.75
No rounding is necessary for this problem because it is already to the nearest cent.
