~ Simplifying
-4x + -4 = -7(x + 4)
~ Reorder the terms:
-4 + -4x = -7(x + 4)
~ Reorder the terms:
-4 + -4x = -7(4 + x)
-4 + -4x = (4 * -7 + x * -7)
-4 + -4x = (-28 + -7x)
~ Solving
-4 + -4x = -28 + -7x
~ Solving for variable 'x'.
~ Move all terms containing x to the left, all other terms to the right.
~ Add '7x' to each side of the equation.
-4 + -4x + 7x = -28 + -7x + 7x
~ Combine like terms: -4x + 7x = 3x
-4 + 3x = -28 + -7x + 7x
~ Combine like terms: -7x + 7x = 0
-4 + 3x = -28 + 0
-4 + 3x = -28
~ Add '4' to each side of the equation.
-4 + 4 + 3x = -28 + 4
~ Combine like terms: -4 + 4 = 0
0 + 3x = -28 + 4
3x = -28 + 4
~ Combine like terms: -28 + 4 = -24
3x = -24
~ Divide each side by '3'.
x = -8
~ Simplifying
x = -8
Answer:
Assume x is directly proportional to y :

when y is 9, x is 2:
substitute to find value of k :

Therefore, equation is:

<u><em>Answer:</em></u>
Her hourly rate is $8.25
<u><em>Explanation:</em></u>
Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week
<u>We know that:</u>
There are 5 school days in a week
<u>We are given that:</u>
She works for 3 hours a day each of those days
<u>Therefore:</u>
Total number of hours worked = hours worked daily * number of days
Total number of hours worked = 3 * 5 = 15 hours in a week
<u>The equation used to calculate Tatianna's earnings is:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
<u>Now, we substitute with the givens to get the hourly rate as follows:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
123.75 = 15 * hourly rate
Hourly rate = $8.25
Answer:
19. c 20.b
Step-by-step explanation:
Yes, it would still remain the same.