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:
The constant of proportionality is 2.
Step-by-step explanation:
In an equation for which we are looking for the constant of proportionality, we use the base form below.
y = kx
In which k is the constant of proportionality. If we use the equation given
y = 2x
We can see k = 2
Answer:
Step-by-step explanation:
let, the length is z
thus the ratio will be 5z : 4z
perimeter = 2 (a + b)
360 = 2 ( 5z + 4z )
180 = 9z
z = 20 cm
length = 100 cm and width = 80cm
area = length * width
area = 100*80
area = 8000cm²
-3-4(5)
-4(5)=-20
-3-20
The answers is -23
Each corner angle of a square is 90 degrees.
This means every 90 degree rotation ( Counter clockwise) would move A to the next corner.
Since B is the corner below A, it would take a 90 degree rotation fr A to map on B.