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

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

[tex]C_1=20+2x[/tex]             ...(i)

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

[tex]C_2=10+3x[/tex]            ...(ii)

Equating (i) and (ii), we get

[tex]10+3x=20+2x[/tex]

[tex]3x-2x=20-10[/tex]

[tex]x=10[/tex]

The total cost is

[tex]C_1=20+2(10)[/tex]

[tex]C_1=20+20[/tex]

[tex]C_1=40[/tex]

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


Related Questions

what is 4.2 less than 7.6

Answers

Answer: 3.4

Step-by-step explanation: 6-2 is 4 and 7-4=3 therefore it’s 3.4

The solution is 3.4

The value of the equation 4.2 less than 7.6 is 3.4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is expressed as

A = 4.2 less than 7.6

Substituting the values in the equation , we get

A = 7.6 - 4.2   be equation (1)

On simplifying the equation , we get

The value of A = 7.6 - 4.2

The value of A = 3.4

Therefore , the value of A is 3.4

Hence , The value of the equation 4.2 less than 7.6 is 3.4

To learn more about equations click :

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which equation is represented by the phrase a number increased by 3 equals 10 ​

Answers

7+3=10 because it’s asking for something that adds 3 and that would equal 10 so the proper equation is 7+3=10 :)

Please help me with these 2 questions. 50 points

Answers

Answer:

if you are looking for the area this are the answers

Step-by-step explanation:

4: [tex]125yd^{2}[/tex]

how: .5 x 25 x 10 = 125

/////////////////////////////////////

5: [tex]104m^{2}[/tex]

how: .5 x 16 x 13 = 104

remember to put the ".5" when you are multiplying

I hope this help you

have a good night :)

Larry looked at the clock. It was 9:45 p.m. The bus for his class trip leaves at 8:30 am. How many hours and minutes are there until the bus leaves? ​

Answers

Answer:

There are 10 hours and 45 minutes until the bus leaves.

Answer:

In between the 10pm to 8 am =10 hours

In between the gap of 9:45 to 10 pm =15 min left

In between 8 and 8:30 am =30 min left

So 10hr and 45 min is the answer

Which of the following is a perfect square?

A.) 115
B.) 169
C.) 154
D.) 279

Answers

Answer:

B (169)

Step-by-step explanation:

ACTUALLY GIVE ME A REAL ANSWER HERE PEOPLE!

Answers

Answer:

a=0.5 in

b=1.14 in

c=3.74 in

Step-by-step explanation:

Does the line passing through the points (3, 3) and (7, 11) intersect the line passing through the points (5, 8) and (13, 24)?

Answers

No

Because they are parralel

Do you like forgs???

Answers

Answer:

there ok

Step-by-step explanation:


38
4(x + 7) = 38
x +7
x+7
x +7
x +7

Answers

didnt u already get the answer i’m very confused rn

Answer:

x = 2.5

Step-by-step explanation:

4(x + 7) = 38

4x+28 = 38

4x = 10

x = 2.5

loook below giving brainliest

Answers

To find the Surface area of a prism, we need to calculate the sum of the area of each of the shapes that make up the net of the object.

(11 x 15 x 2) + (5 x 15 x 2) + (5 x 11 x 2)

= 590ft ^2

Hope this helps!!

In UVW, the measure of W=90°, VW = 29 feet, and UV = 69 feet. Find the
measure of ZU to the nearest degree.

Answers

Answer: 25°

Step-by-step explanation: deltamath

In triangle RST the vertices have coordinates of R(-1,10),S(5,4)and T (-4,-2). If the midpoints of side RS and RT were connected with a segment, what would the slope of this segment be?


Plz helppp

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]

Points are R(-1,10),S(5,4)and T (-4,-2).

Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]

Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]

Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]

Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]

HELP ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!

Find the values of x and y.

Answers

Answer:=5x+4y−78

not too sure of it

Step-by-step explanation:

Distribute:

=(3)(x)+(3)(−18)+2x+(4)(y)+(4)(−6)

=3x+−54+2x+4y+−24

Combine Like Terms:

=3x+−54+2x+4y+−24

Answer:

x = 6°

y = 2°

I hope it helps....

Find the product of 2/3 and 9/10

Answers

Answer:

3/5

Step-by-step explanation:

PLZ MARK AS BRAINLIEST

To find the product of 2/3 and 9/10, multiply the numerators and denominators together: [tex]\frac{2}{3} * \frac{9}{10} = \frac{18}{30}.[/tex] This simplifies to [tex]\frac{3}{5}[/tex], which is the answer.

Will mark brainliest

Answers

Answer:

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

b

area of a circle with a diameter of 4cm

Answers

Answer:

A≈12.57cm²

Step-by-step explanation:

A=1

4πd2=1

4·π·42≈12.56637cm²

Answer:

area of a circle with a diameter of 4cm=π(d/2)²

=π(4/2)²=π2²=4π cm ² is your answer or 4×3.16=12.48 cm²

Help please I do not get this problem at all

Answers

Answer:

It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!

What is the product?

(3x-6) (2x^2-7x+1)

Answers

Answer: c

Step-by-step explanation:

Edge 2021

$750 at 6% for 18 months

Answers

Answer:

The interest is $1242.734 and the amount is $13242.734.

Step-by-step explanation:

STEP 1: Convert interest rate of 1.5% per month into rate per year.

STEP 2: Convert 210 days into years.

STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example P = $12000, i = 18% and t = 0.57534 years, so

STEP 4: Find an amount by using the formula .

Since P = $12000 and I = $1242.734 we have

Select the equation that has a = 1 1/2 as its solution.

Answers

Answer:

1445

Step-by-step explanation:

hey

[tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex] is the equation that has a=[tex]1\frac{1}{2}[/tex] as its solution.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

we need to find the equation which gives a=[tex]1\frac{1}{2}[/tex]

Convert the mixed fraction to the improper fraction

a=3/2

[tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex]

Convert the mixed fraction to the improper fraction

25/6+a=17/3

Now take the variable on one side and constants on other sides

a=17/3-25/6

LCM of 3 and 6 is 6

a=34-25/6

a=9/6

The numerator and denominator are multiples of 3.

a=3/2

Hence, [tex]4\frac{1}{6} +a=5\frac{2}{3}[/tex] is the equation that has a=[tex]1\frac{1}{2}[/tex] as its solution.

To learn more on Equation:

https://brainly.com/question/10413253

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TJ averages being the imposter 2 times every 5 games of Among Us. How many games does he have to play to be the imposter ones?

Answers

Answer:

10

Step-by-step explanation:

Can somebody help me. Will Mark brainliest.

Answers

I think the answer is 43.2 degrees

Which fraction is equivalent to
-3/2?

Answers

Answer:

-1 1/2 if you need a mixed number then choose -1 1/2

Answer: There are many possible fractions, here is all of them.

-3/2 = -6/4 = -9/6 = -12/8

= -15/10 = -18/12 = -21/14 = -24/16

= -27/18 = -30/20 = -33/22 = -36/24

= -39/26 = -42/28 = -45/30 = -48/32

= -51/34 = -54/36 = -57/38 = -60/40

= -63/42 = -66/44 = -69/46 = -72/48

= -75/50 = -78/52 = -81/54 = -84/56

= -87/58 = -90/60 = -93/62 = -96/64

= -99/66 = -102/68 = -105/70 = -108/72

= -111/74 = -114/76 = -117/78 = -120/80

= -123/82 = -126/84 = -129/86 = -132/88

= -135/90 = -138/92 = -141/94 = -144/96

= -147/98 = -150/100 = -153/102 = -156/104

= -159/106 = -162/108 = -165/110 = -168/112

= -171/114 = -174/116 = -177/118 = -180/120

= -183/122 = -186/124 = -189/126 = -192/128

= -195/130 = -198/132 = -201/134 = -204/136

= -207/138 = -210/140 = -213/142 = -216/144

= -219/146 = -222/148 = -225/150 = -228/152

= -231/154 = -234/156 = -237/158 = -240/160

= -243/162 = -246/164 = -249/166 = -252/168

= -255/170 = -258/172 = -261/174 = -264/176

= -267/178 = -270/180 = -273/182 = -276/184

= -279/186 = -282/188 = -285/190 = -288/192

= -291/194 = -294/196 = -297/198 = -300/200

Step-by-step explanation:

If you have any questions feel free to ask

Enter the value of x that makes the equation 5+3x-37=6x+23-8x

Answers

Answer:

x=-7

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

5+3x-37=6x+23-8x

add like terms

-32+3x=-2x+23

add 2x to both sides

-32+3x+2x=23

add 32 to both sides

3x+2x=23+32

add like terms

5x=55

divide by 5 on both sides

x=11

Need help ASAP because it’s hard lol

Answers

Answer: y = x + 2

Step-by-step explanation: We can see the y-intercept is 2 on the graph, and the slope is 1

Answer:

y=x+2

Step-by-step explanation:

Simplify (6x^3-x + 5)(3x^3+ 5)
With work shown?

Answers

Answer:

[tex]18x^{6}-3x^{4}+45x^{3}-5x+25[/tex]

Step-by-step explanation:

[tex](6x^{3} -x+5)(3x^{3}+5)\\\\(6x^{3})(3x^{3})+(6x^{3})(5)+(-x)(3x^{3})+(-x)(5)+(5)(3x^{3})+(5)(5)\\\\18x^{6}+30x^{3}+(-3x^{4})+(-5x)+15x^{3}+25\\\\18x^{6}-3x^{4}+45x^{3}-5x+25[/tex]

2.99 rounded to the nearest cent

Answers

$3.00 would be the answer your looking for

I need help ASAP!!!!!!

Answers

Answer:

1. YES  2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

What does the remainder tell you about the
relationship between the dividend and the divisor when dividing polynomials?

Answers

Answer:

The remainder is the number left when you completely divide out your number to its max (Dividend = Divisor × Quotient + Remainder)

Step-by-step explanation:

I hope this helped

If Damon goes from his office on the 10th floor to a meeting
on the 5th floor, how many floors does he travel and in
which direction?

Answers

Answer:

5 and down

Step-by-step explanation:

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