Answer:
1 week
Step-by-step explanation:
Given:
p = 12w
Where,
w = number of weeks the office has been on the new recycling plan
p = total kilograms of paper recycled.
How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Find w when p = 12
p = 12w
12 = 12w
Divide both sides by 12
w = 12/12
= 1
w = 1 week
First combine like terms.
7+9=16
16+p=17
Subtract 16 from both sides of the equation.
16-16+p=17-16
p=1
You can check to see if the solution is true by substituting 1 into the original equation.
7+1+9=17
17=17
Answer:
y = -4x - 1
Step-by-step explanation:
x - 4y = 24
-4y = -x + 24
y = 1/4x - 6
m⊥ = -4
y = -4x + b
7 = -4 ( -2 ) + b
7 = 8 + b
b = -1
y = -4x - 1
d. x = 2, DF = 7, EG = 7
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7