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IgorLugansk [536]
2 years ago
15

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. Fo

r how many movie rentals will the cost be the same at both book clubs? What does that cost?
Mathematics
1 answer:
Mrrafil [7]2 years ago
5 0

Given:

Book club A charges $20 for membership and $2 per book rental.

Book club B charges $10 for membership and $3 per book rental.

To find:

The number of books for which the cost be the same at both book clubs.

Solution:

Let x be the number of books.

Book club A charges $20 for membership and $2 per book rental. So, the total cost is

C_1=20+2x             ...(i)

Book club B charges $10 for membership and $3 per book rental. So, the total cost is

C_2=10+3x            ...(ii)

Equating (i) and (ii), we get

10+3x=20+2x

3x-2x=20-10

x=10

The total cost is

C_1=20+2(10)

C_1=20+20

C_1=40

Therefore, the total cost at both book clubs are same for 10 rental books and that cost is $40.

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For which equation is m = 12 the solution? a. 4m=40 b. m+20=42. c. 4m=48. d. m-4=9
Gelneren [198K]
To solve this question, we just need to insert 12 into the m position of each question and see if the equation holds true.

a. 4m = 40

4(12) = 40

48 = 40

48 obviously does not equal 40, so it is not choice A.

b. m + 20 = 42

12 + 20 = 42

32 = 42

Again, 32 isn't the same as 42, so not choice B either.

c. 4m = 48

4(12) = 48

48 = 48

It looks like this one is true, but let's solve D also just to make sure.

d. m - 4 = 9

12 - 4 = 9

8 = 9

This is false, since 8 does not equal 9.

Therefore, choice C (4m = 48) is the correct answer.
Hope that helped! =)
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Step-by-step explanation:

Step-by-step explanation:

Assume c = 0

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