Answer:
12
Step-by-step explanation:
Assuming that the shape of the playground is rectangular, we know that the area of a rectangle is length x width.
Let the length = x
width = x + 5
x(x + 5) = 204
x² + 5x = 204
x² + 5x - 204 = 0
(x + 17)(x - 12) = 0
x = -17 and x = 12
However, since x represents the length of the playground, length cannot be negative. The only value possible is x = 12.
Therefore, the playground has a length of 12 yd and a width of 12 + 5 = 17 yd.
The form will be y = mx + b, where m is the slope, b is the y-intercept
m = (2-7) / (3+2) = -1
b = 3 +2 = 5
So y = -x + 5
Answer:
Cost of one shirt = $8
Step-by-step explanation:
We can find the cost of a shirt using a system of equations.
Our two equations are 13S + 12H = 176 and 6S + 12H = 120, where S represents the cost of shirts and H represents the cost of hats.
Elimination is the easiest method to solve:
Answer:
1. x=6
2. C <-26
3. p<6
4. -5x-44
Step-by-step explanation:
1. 2x = 3(x-2) - 3(x-6)
Distribute
2x= 3x-6 -3x+18
Combine like terms
2x =12
Divide by 2
2x/2 =12/2
x=6
2. C+6<-20
Subtract 6 from each side
C+6-6 < -20-6
C <-26
3. -5p > -30
Divide by -5. Remember to flip the inequality when dividing by a negative
-5p/-5 < -30/-5
p<6
4. -4 - 5(X+8)
Distribute
-4 -5x-40
Combine like terms
-5x-44