MATHEMATICS HIGH SCHOOL

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. For how many movie rentals will the cost be the same at both book clubs? What does that cost?

Answers

Answer 1

Answer:

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.

Related Questions

which situation would be represented by a discrete probability distribution? a) the weight of fire fighters b) the overall average of a math class c) the ages of all the students in a class d) the number of students who could distinguish between two different soft drinks
PLEASE HELP! thank you so much! :)Which of the following can form a crosssection?A a point and a triangleB a plane and a coneC a circle and a squareD a line and a
What is the length of s?
This question i need helo solve it
Which of the following is not a property of mathematical proofs?

Explain why (–4x)^0 = 1, but –4x^0 = –4.

Answers

Any number raised to power zero = 1.

Note that 0 raised to power 0 is not 1, it is undefined.

Therefore:

(-4x)⁰ = 1

For the second part -4x⁰ = :

x⁰ = 1, -4x⁰ = -4*(1) = -4

This is true on the assumption that x is not equal to zero.

I hope this explains it.

A couple decided to have 4 children. What is the probability that they will have at least two boys?

Answers

See below the theee of possibilities:

BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG
GBBB
GBBG
GBGB
GBGG
GGBB
GGBG
GGGB
GGGG

There are 16 differents possibilities.
In 11 of them have at least 2 boys

So probability is 11/16

How do u check your answer for 4x+12-2x=26

Answers

Answer:

Step-by-step explanation:

4x+12-2x=26

Or, 2x=26-12

Or, 2x=14

Or, x=7

Can anyone help?? Please

Answers

3O=12/3 Divide both sides by 3.
/3

O=4

♢+2=5(4)
♢+2=20
-2 -2 Subtract 2

♢=18

2(4)+18=2∆
8+18=2∆
26=2∆
/2 /2 Divide by 2

∆=13

The circle is worth 4 because it's being multiplied by 3. Then the diamond is 18 and the triangle is -5.

Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4.

A) 5
B) 7
C) 19
D) 23

Answers

We have given $t_(1)=3$ and $t_(n) = t_(n-1) + 4$ . Fifth term is $t_(5)= t_(4)+4$ . It means we need to find $t_(4)$ and in order to find the latter, we have to find $t_(4)= t_(3)+4$ , $t_(3)= t_(2)+4$ and $t_(2)= t_(1)+4$ . Since we know the value of $t_(1)$ , beginning from the last equation we can find the value of $t_(5)$ . We can write that $t_(2)= t_(1)+4=3+4=7$ , $t_(3)= t_(2)+4=7+4=11$ and $t_(4)= t_(3)+4=11+4=15$ . Since $t_(5)= t_(4)+4$ , then $t_(5)= 15+4=19$

Factories fully the flowing
$x^(2) +3x \n2x^(2) -8x \n6x+9x^(2) \n12x^(3) -4x^(2)$

Answers

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

Other Questions

Find the sum of the given polynomials.7b + 3, -4b + 5, and -3b + 2 answer options are: 10b + 2 10 0 b - 8 I will give Brainliest answer and a thank you.

Let f(x)=x^2 - 16. find f^-1(x).

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to find the error in the solution

Simplify the expression (3/7)^2