Answer:
Step-by-step explanation:
perimeter of a rectangle = twice the length plus twice the width
P = 2L + 2W equation 1 P = 86 ft
Given the length is seven feet more than the width
L = W + 7 equation 2
Substitute equation 2 into equation 1
P = 2(W+7) + 2W = 86 ft
2W +14 + 2W = 86 ft
4W = 86 - 14
W = 72 / 4
W = 18 feet
Let the hours Kade worked = X
Theo would be X - 3 ( 3 less than Kade).
Now you have:
X + X -3 = 27
Combine like terms:
2x - 3 = 27
Add 3 to each side:
2x = 30
Divide both sides by 2:
x = 15
Kade worked 15 hours.
Theo worked 12 hours.
Answer:
12c + 14d - 4
Step-by-step explanation:
16d + 20c + 5d -7 - 8c - 7d + 3
Simplify the expression
__________________________
To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :
Combine the "d" like terms :
16d + 5d - 7d
21d - 7d
14d
Combine the "c" like terms :
20c - 8c
12c
Combine the constants :
-7 + 3
-4
Now add all of the values together to get the final expression.
12c + 14d - 4
Answer:
x=5 x = -3
Step-by-step explanation:
-7 / ( x^2 -2x -15)
Factor the denominator
-7
----
(x-5) ( x+3)
The excluded values are when the denominator is equal to zero
(x-5) (x+3) =0
x-5 =0 x+3=0
x=5 x = -3
