I know u answered this beforree buttttt....?

i forgot to mention to include the variable in your response (ex. n=4).


x-7= -6

2) w/3=11

3) 15=0.75v

4) 2t-1=4

5) h/3-20=20

6) -12 鈥?4x + 3 = -1

7) y/8+y/12=-4

8) 9(n + 7) = -81

10. A telemarketer makes calls from her home. She earns $240 per month plus a commission of 5% on her sales. Her employer also reimburses her for long distance telephone charges for calls made for the company. Last month she received a check for $256.65, which included a reimbursement of $8.95. What was the total of her sales?

1)

x - 7 = -6
x = 1 <--- Added 7 to both sides

2)

w / 3 = 11
w = 33 <--- Multiplied each side by 3

3)

15 = 0.75v
(0.75v = 15) <--- (Rearranged equation)
v = 20 <--- Divided each side by 0.75

4)

2t - 1 = 4
2t = 5 <--- Added 1 to both sides
t = 2.5 <--- Divided each side by 2

5)

(h / 3) - 20 = 20
h / 3 = 40 <--- Added 20 to both sides
h = 120 <--- Multiplied each side by 3

6)

-12 - 4x + 3 = -1
-4x + 3 = 11 <--- Added 12 to both sides...(Note that subtracting 4x is the same as negative 4x)
-4x = 8 <--- Subtracted 3 from both sides
x = -2 <--- Divided each side by -4...(Note that a positive number divided by a negative number is a negative number)

7)

(y / 8) + (y / 12) = -4
(8y / 96) + (12y / 96) = -4 <--- Here, I treated (y / 8) and (y / 12) as fractions to add together. Multiplying 8 by 12 gives a common denominator of 96. Since the value of y is still unknown, you just keep the 8 and 12 in front of it.
20y / 96 = -4 <--- Added "fractions" together
20y = -384 <--- Multiplied each side by 96
y = -19.2 <--- Divided each side by 20

8)

9(n + 7) = -81
9n + 63 = -81 <--- Here, since the 9 is in front of the expression (n+7), you "distribute" the 9 by multiplying it by every value in the expression. In this case, 9(n+7) = 9n + 9*7.
9n = -144 <--- Subracted 63 from both sides
n = 16 <--- Divided each side by 9.

10...did you forget to list number 9?)

In this question, we can set up an equation.
If she makes $240 per month with a commission of 5% on each sale, we can treat the number of sales as a variable. Let's call it "x". Since 5% = 0.05, it can be expressed:

(240 + 0.05x)

With the reimbursement (we will call it "y")

y + (240 + 0.05x)

In this problem, they give you two values. We need to find out the total sales (in this problem, the value of "x"). They give us the total, so we can add that into the expression:

y + (240 + 0.05x) = 256.65

They also give us the total "reimbursement", which we set as variable "y". So now we know that y = 8.95, we can substitute it for y:

8.95 + (240 + 0.05x) = 256.65

Then, you simply solve like a normal algebric equation.

8.95 + (240 + 0.05x) = 256.65
240 + 0.05x = 247.70 <--- Subtracted 8.95 from both sides
0.05x = 7.70 <--- Subtracted 240 from both sides
x = 154 <--- Divided each side by 0.05 (5%)

So she sold a total of $154.00.