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Juli2301 [7.4K]
3 years ago
11

Tim had 2b books for sale at a price of k dollars each. If y is the number of books he did not sell, which of the following repr

esents the total dollar amount he received in sales from the books?
A. k(2b-y)
B. k(y-2b)
C. ky - 2b
D. 2b - ky
E. 2bk - y
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0

For this case we have:

2b: Variable that represents the amount of books Tim had.

k: Variable that represents the price of each book

y: Variable that represents the quantity of books not sold.

Then we have, according to the statement that, the quantity of books sold is given by:

2b-y

Thus, the total dollar amount received for the books sold are:

k (2b-y)

Answer:

Option A

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8 0
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-| x-4| + 2 = -2x + 7
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Let's solve your equation step-by-step.

−

|

x

−

4

|

+

2

=

−

2

x

+

7

Step 1: Add -2 to both sides.

−

|

x

−

4

|

+

2

+

−

2

=

−

2

x

+

7

+

−

2

−

|

x

−

4

|

=

−

2

x

+

5

Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

5

Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

5

−

x

−

4

+

4

=

−

5

+

4

(Add 4 to both sides)

−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

Check answers. (Plug them in to make sure they work.)

x

=

1

(Doesn't work in original equation)

x

=

3

(Works in original equation)

7 0
3 years ago
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