One month Mai rented 12 movies and 2 video games for a total of $53. The next month she rented 3 movies and 5 video games for a total of $38. Find the rental cost for each movie and each video game.

Answers

Answer 1

Answer:

Movie cost $3.5 and the video game cost $5.5

Step-by-step explanation:

Given data

Let the cost of movies be x

and the cost of video game be y

12x+2y= 53----------1

and

3x+5y= 38-----------2

solve 1 and 2

12x+2y= 53X 5

3x+5y= 38  X2

 60x+10y= 265

- 6x+10y= 76

 54x= 189

x= 189/54

x= $3.5

put x= 3.5 in  1

12(3.5)+2y= 53

42+2y= 53

2y= 53-42

2y= 11

y= 11/2

y= $5.5

Hence the movie cost $3.5 and the video game cost $5.5


Related Questions

i need help on number 1​

Answers

in the equation, y=2x-4, slope is 2 and the y-intercept is -4. since your slope is a positive 2, your graph will be positive. hope i helped.

Which is the equation for a line that passes through the points (3 , 1) and (4 , -1) ?

y = -2x - 7

y = 2x - 7

y = 2x + 7

y = -2x + 7

Answers

Answer:

Y= -2x+7

Step-by-step explanation:

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the
exponential equation?

Answers

Sorry for tje late answer but it is 150 * 0.08^x

The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].

What is depreciation?

Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,

[tex]A = P(1-\dfrac{r}{100})^t[/tex]

where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.

We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,

[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]

Hence,  the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].

Learn more about Depreciation:

https://brainly.com/question/3023490

Easton spent 3 ¾ hours practicing baseball. If Ellie practiced baseball for 1 ½ the amount of time that Easton spent practicing baseball, how many hours did she practice baseball? * 2 points

Answers

Answer:

5[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The time Ellie spent practicing baseball is : 3[tex]\frac{3}{4} x 1\frac{1}{2}[/tex]

Convert the mixed fractions to an improper fraction

3 3/4 = 15/4

1 1/2 = 3/2

15 / 4 x 3/2 = 45/8

Convert 45/8 back to a mixed fraction

45/8 = 5[tex]\frac{5}{8}[/tex]

Graph the line.
Y=-3/4x+1

Answers

Step-by-step explanation:

the answer is in the attachment

You forget to dry the bread knife after you washed it and reddish brown spots start to appear on the knife.
Physical or Chemical Change?
Evidence?

Answers

Physical

It’s make up is not changing- but it’s physical properties (aka what it looks like) is changing

Jose decides to go to the local amusement park. He pays for an admission ticket and per ride. The total amount that Jose pays for admission and rides is . Which equation can be used to determine the total number of rides, , that Jose went on?

Answers

Answer: 15

Step-by-step explanation:

A kite flying in the air has a 4-m line attached to it. Its line is pulled taut and casts a 3-m shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth

Answers

Answer:

2.6

Step-by-step explanation:

I used the a^2+b^2=c^2 to get this answer. I squared all the number given and got 16 and 9. Then I subtract them to get 7. Finally square 7 off and got 2.6 as the final answer

Hope this helped

[tex] \sqrt{7} = 2.6[/tex]

Can someone help me please!!

Answers

Answer:

D.

Step-by-step explanation:

Solve for  x .

x ≥−1

Which mixed number is equivalent to the improper fraction below?

Answers

the answer it’s D again lol

Answer:

d

Step-by-step explanation:

Mira is sending a care package to her cousin overseas. she wants to send a 64 ounce container filled with her cousins two favorite candies. one type of candy comes in 2 ounce packages and the other comes in 8 ounce packages. write in equation in standard form to represent this situation

Answers

Answer:

2x+8y=64

Step-by-step explanation:

5.) What advice would you give to Joshua?

Answers

Answer:

stay in school

Step-by-step explanation:

To stay away from strangers and if they come up to you , you ignore them and walk fast as you can or call for help .
I don’t know what you mean . But I can help you if you add a image.

48 = -12t
HELP ASAP PLEASE

Answers

Answer:

-4

Step-by-step explanation:

Help please! Number 11

Answers

Answer:

A

Step-by-step explanation:

I believe the answer is A because in MNL it tells the letters of all the angles as well as LMN. Since the total amount of degrees in MNL is the same as LMN I believe that the answer is A.

∠MNL = ∠LMN

Hope this Helps!!! :)

Which of the following shows exponential growth rate of 7%?
Group of answer choices

LaTeX: A=325\left(1.07\right)^tA = 325 ( 1.07 ) t

LaTeX: A=325\left(0.93\right)^tA = 325 ( 0.93 ) t

LaTeX: A=325\left(0.07\right)^tA = 325 ( 0.07 ) t

LaTeX: A=325\left(1.7\right)^t

Answers

Answer:

A=325(1.07)^t

Step-by-step explanation:

I got an 100 on the test

[tex]A=325(1.07)^t[/tex]shows the exponential growth rate of 7%

What is a function?

A relation is a function if it has only One y-value for each x-value.

The formula for exponential growth is given by:

[tex]A = P(1 + r)^t[/tex]

where A is the amount after t periods, P is the initial amount, and r is the rate of growth.

To represent a growth rate of 7%, we can use:

[tex]A = 325(1 + 0.07)^t[/tex]

Hence, [tex]A=325(1.07)^t[/tex] shows the exponential growth rate of 7%

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Find the peremiter of triangle ABC

Answers

Answer:

18

Step-by-step explanation:

if AB : BC : AC is 3 : 4 : 2 and BC = 8 then AB = 6 and AC = 4

To calculate the perimeter of the triangle we add all side lengths up

4 + 6 + 8 = 18

Answer:

Step-by-step explanation:

12

units.

Explanation:

Using the Distance Formula,

A

B

2

=

{

(

5

)

(

2

)

}

2

+

{

(

2

)

(

2

)

}

2

=

9

A

B

=

3

Similarly,

B

C

=

5

,

and

,

A

C

=

4

Hence,

the Perimeter=

A

B

+

B

C

+

A

C

=

12

units.

Answer link

Write an equation for the following sentence:
The sum of three times a number and 7 is 20.

Answers

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Answer:

3x+7=20 is an equation for the sentence.

hope it is right answer for it

Type in an integer or a simplified fraction

Answers

Answer:

0?

Step-by-step explanation:

not sure without all of the question

Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz with these problems I WILL PIC BRAINLIEST

Answers

Answer:

Can't see the rest

Step-by-step explanation:

[tex]7^{2+5+2} =7^{9}[/tex]

[tex]x^{5-8} y^{12-9}z^{0} =x^{-3} y^{3}[/tex]

[tex]x^{3+5}=x^{8}[/tex]

[tex]5^{1} +5^{0} ,(5^{1})^{1},5^{2}/5[/tex]

[tex]\sqrt[3]{7} ,\frac{7}{7^{2/3} } ,7^{1/6}*7^{1/6}[/tex]

[tex]625 = 5*5*5*5, 5^{4}[/tex]

[tex]2^{10} =2*2*2*2*2*2*2*2*2*2=1024[/tex]

Solve 7 ÷ one half = ___.

Answers

Answer: 14

Step-by-step explanation: Good luck! :D

Please help fast!!!
The table represents some points on the graph of the exponential function that models the radioactive decay of a
sample of xenon-135.
Xenon-135 Sample
Time, x
(hours)
Mass, y
(grams)
0
70
4.6
49.5
9.2
35
13.8
24.7
18.4
17.5
Which statement about the graph of this function is true?

Answers

Answer:B

Step-by-step explanation:

The exponential curve passes through the point (0, 70). Then the correct option is B.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.

At x = 4.6, the value of 'y' will be 49.5.

[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]

At x = 9.2, the value of 'y' will be 35.

[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]

From equations 1 and 2, then we have

[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]

Then the value of 'a' will be

[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]

Then the equation is given as,

y = 70 · (0.927)ˣ

The graph is given below.

The exponential curve passes through the point (0, 70). Then the correct option is B.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

The missing options are given below.

A) There is an asymptote at y = 70.

B) The y-intercept is located at (0, 70).

C) There is an asymptote at x = 0.

D) The x-intercept is located at (70, 0).

t the beginning of the season, MacDonald had to remove 555 orange trees from his farm. Each of the remaining trees produced 210210210 oranges for a total harvest of 417904179041790 oranges.
Write an equation to determine the initial number of orange trees (t)(t)left parenthesis, t, right parenthesis on MacDonald's farm.
Find the initial number of orange trees on MacDonald's farm.
orange trees

Answers

Answer:Initial number of trees (t)=204

Step-by-step explanation:

t = initial number of trees

Subtract 5 trees from the initial number of trees

we have,

t-5

each remaining tree made 210 oranges for a total of 41,790 oranges

We have,

(t-5) * 210=41790

Solve the equation

(t-5) * 210=41790

Open the bracket

210t-1050=41790

210t=41790+1050

210t=42840

Divide both sides by 210

210t/210=42840/210

t=204

The initial number of trees on MacDonald farm orange trees (t)=204

If 5 is removed from the initial trees

t-5=204-5

=199 trees

199 trees produce 210 oranges

We have,

199*210=41790 oranges

Whats the measure of z

Answers

Answer:

z = 24°

Step-by-step explanation:

Angle on a straight line= 180°90 + 66 + z = 180°156 + z = 180°z = 180° - 156°z = 24°

let y be 2x

90 + 66 + 24 + X + 2x = 360° (angles at a point)

180° + 3x = 360°

3x = 360° - 180°

3x = 180°

divide both sides by 3

3x/3 = 180/3

X = 60

2x = 2(60) = 120°

therefore X = 60°

Y = 120°

90° + 66° + 24° + 60° + 120° = 360°

What is the solution to this system of equations?

Answers

Answer:

Step-by-step explanation:

The solution is the point of intersection of the lines. That is (-2,8)

Factor the GCF -12x^3y^5-9x^2y^2+12xy^3

Answers

Jejdjrjjrjjrriiriiririirijjrjfjjrjrjrjrjrjjrjrjrirr

Matching Using Distributive Property

Match Each Expression with the equivalent expanded expression

I failed the first try so please help, I'll give you brainly as a reward

Answers

Answer:

1/3(9+81)= 30

2(4x+2)= 8x+4

0.5(2x+3)= x+1.5

-5(2x+3/5)= -10x-3

-3(2/3x-1)= -2x+3

the answers are in the picture

2. The length of a rectangle is 5 feet more than the width. The perimeter of the rectangle is
58 feet.
Find the width of the rectangle.

Answers

In order to solve this let us for at assume that the value of the width is X. Therefore the length will be x+5.

We can now write an equation:

(X+5) + (X+5) + X + X = 58

Combining like terms we should get
4X + 10 = 58

Now subtract 10 from both sides to get
4x = 48

Divide by 4 now and you should get

X = 12

Now we know the value of X and therefore the width.

The width of the rectangle is 12ft.

What is the  difference between area and perimeter of a rectangle?

The rectangle's perimeter is calculated using its length. Given by the total of the rectangle's sides, it is stated in linear units.

The space inside the rectangle is measured by area, on the other hand. It is measured in square units and equals the sum of the rectangle's length and width.

Let us suppose the width of the given rectangle be x
According to the given question;
Length of rectangle is 5ft more than its width
Therefore, length of rectangle= x+5
We know that,

Perimeter of rectangle = 2 ( length+breadth)
Perimeter of rectangle = 2[x+(x+5)]

It is given in the question that perimeter of the rectangle is 58ft

Thus,
⇒2( length+breadth) =58
⇒ 2[x+(x+5)] = 58
⇒ 2 (2x+5) = 58
⇒ 4x + 10 = 58
⇒ 4x = 58- 10 = 48
⇒ 4x = 48
⇒ x = 12
Thus, width of rectangle = 12 ft
length of rectangle = x+5 = 12+5 = 17ft

Hence, the width of the rectangle is 12ft.

To know more about the similar questions on 'perimeter of rectangle';

visit - https://brainly.com/question/22148953

#SPJ2

Angle 6 and 7 are examples of which type of angle pair

Answers

Answer:

vertical angles?

Step-by-step explanation:

Test worth 90 points; test score of 90%

Answers

Answer:

the first one

Step-by-step explanation:

not 100% sure but a good guess

^^^i think they were right

8x−6y=1 what is the slope of the line

Answers

Answer:

m = 4/3

Step-by-step explanation:

Two ways to do this problem.  

Method 1   change the                          Method 2   If a linear equation is in

equation to slope-intercept form            standard form, ax =by = c then

8x - 6y = 1                                                  the slope = -a/b

-6y = -8x + 1                                                 In 8x - 6y = 1  a = 8 and b = -6

y = (-8x)/-6 +1/-6                                          So m = - (8)/-6 = 8/6 = 4/3

m = -8/-6= 4/3

Note:  Method 2 only works if the equation is in standard form.

Other Questions
Mrs. Haskin has 49 tomato plants in her garden. Each plant has 14 tomatoes. How many tomatoes does she have? Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in theamount Henry and Ella paid, including tax. Round your answer to the nearest cent. What does this quote mean?? PLEASE HELP!! "The game of keeping what one has is never so exciting as the game of getting" - ZNH y=-2x+103y-x+5=0Solve the system using substitution A group of friends wants to go to the amusement park. They have no more than $235 to spend on parking and admission. Parking is $7, and tickets cost $28.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park. find the measure of each angle indicated and please explain how you got that answer if you can Describe how you know if an equation has INFINITE solutions. Give some examples of an equation that has infinite solutions, Which sentence uses deferred correctly?I was feeling pretty deferred that it had taken him so long to write back.She deferred the soccer ball so that her friends could play with her.He was relieved that the project was deferred until the end of May.The deferred smell in the air enticed my family to see what was cooking. At a baseball game, Justin and Shaniya buy hot dogs and hamburgers. Justin buys one hamburger and three hot dogs for $24.75 and Shaniya buys two hamburgers and one hot dog for $22. What is the cost of a hamburger? Now you will write an informative paragraph that will helpFrankie to understand his financial options and formulatebest practices for spending and saving.Before you do, you will create an outline with bulletpoints. This outline will help organize your ideas and helpyou to identify at least three economic strategies thatFrankie should use when making his decision topurchase a new pair of shoes. The point c(0, 6) is translated 6 units left. What are the coordinates of the resulting point, C'? HELPPPP PLEASE MATHS QUESTION USE SOH CAH TOA 6 X (22 + 9) = 6 x 22 + 6 x 9This is an example of ______property. 30 POINTS!! PLEASE HELP!! If you don't know the genotype of a plant with flowers that are a dominant color, what is the best way to determine it? PLEASE HELP FAST SPANISH HOMEWORK what is the area of the donut? cual es la comida tipica del departamento de usulutan?? Write an equation of the line with a slope of 2 and a y-intercept of 5 1. Will has a spinner with eight equal sections numbered one through eight. If Will spins the spinner 240 times, how manytimes can he expect to spin a number less than 7? express the area of the entire rectangle