One month Lucy rented 6 movies and 2 video games for a total of $18. The next month she rented 3 movies and 5 video games for a total of $30 . Find the rental cost for each movie and each video game.

Answers

Answer 1

Answer:

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25

Step-by-step explanation:

Let the cost of 1 movie is $x

Cost of 1 video game is $y

So, we can set up equations for the given information

6x+2y =18

3x+5y=30

Let's solve the equations.

Multiply the second equation by -2 to get rid the 'x' terms.

6x+2y =18

-6x-10y=-60

-----------------

 -8y=-42

Divide both sides by -8

y=5.25

Now, plug in y as 5.25 into any of the given equations to find the corresponding x.

3x+5(5.25)=30

Simplify and solve for x.

3x+26.25=30

Subtract both sides 26.25

3x=3.75

Divide both sides by 3

x=1.25

Rental cost for each movie = $1.25

Rental cost for each video game =$5.25


Related Questions

neep help on this problem.

Answers

Answer: angle 1= 65 degrees, angle 2=115 degrees

Step-by-step explanation:

Both angles are complementary angles, or they together equal 180°, so you will add both expressions and set equal to 180. This will get you (3x+2)+(5x+10)= 180. We then solve for x.
8x +12 = 180. We subtract 12 on both sides.
8x = 168. We divide by 8 on both sides.
x=21
We can then plug x into each expression to get the angle for each.
Angle 1: 3(21)+2=65°
Angle 2: 5(21)+10=115°

I NEED HELP!! And it doesn’t accept equal signs in the answer

Answers

You just to factor the right side of the equation. The “y = ” is already on the left of the answer box. Hope this helps


Brainliest plz

Estimate the line of best fit using two points on the line.

A. y= -3/2x + 12
B. y= 3/2x + 12
C. y= -2/3 + 12
D. y= 2/3 + 12

Answers

Answer:

?

Step-by-step explanation:

Answer: c

Step-by-step explanation:

A p e x


Determine the slope of a line that is
nerpendicular to a line that passes
drough the points (0,6) and (3,-1).

Answers

Answer:

3/7

Step-by-step explanation:

the slope of the line is

-1 -6/ 3-0 = -7/3

the slope of the perpendicular line is:

3/7

The following can be decomposed in ????

Answers

Answer:

Triangle & semicircle

Step-by-step explanation:

If the digit in the unit place of a number is either 2 or 8, the digit in unit place of its square will be??

Answers

Answer: the digit in unit place of its square will be 4

Step-by-step explanation: Reason: 2 squared is 4, and 8 squared is 64 and both of those end in 4.

what is -3x+7y=13 in slope intercept form

Answers

answer : y = 3/7x + 13/7

The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?

HELPPP ME QUICKLY I HAVE TO SHOW MY WORK ALSO

Answers

Answer:

The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?

Step-by-step explanation:

The equation 7h=63 can be used to find how many hours h a person needs to work to earn $63 at $7 per hour. How many hours does a person need to work to earn $63?

Answer:

9 hours

Step-by-step explanation:

7h=63

divide both sides by 7 to get 9

7h/7=h

63/7=9

h=9

6) Find the value of x.
AKLM-ACDE
4x + 5
E
D
55
L
132
108
M M
K

Answers

Answer:

55 ? i think

Step-by-step explanation:

i just had the same question

3/4 (x +21) = 10 1/2
What does x equal?

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \red{x = - 7}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:[tex] \sf distribute : \\ \frac{3 x+ 63}{4} = 10\frac{1}{2} [/tex][tex] \sf simplify \: mixed \: fraction : \\ \frac{3x + 63}{4} = \frac{21}{2} [/tex][tex] \sf cross \: multipication : \\ 2(3x + 63) = 84[/tex][tex] \sf distribute \: 2 : \\ 6x + 126 = 84[/tex][tex] \sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42[/tex][tex] \sf divide \: both \: sides \: by \: 6 : \\ \frac{6x}{6} = \frac{ - 42}{6} \\ \bcancel{\frac{6x}{6} } = \frac{ \cancel{ - 42} \: ^{ - 7} }{ \cancel{ \: 6}} \\ \therefore \: x = - 7[/tex]

Step-by-step explanation:

Solution given;

[tex] \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7[/tex]

:.x=-7 is your answer.

Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?

















































































































































































































Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?

Answers

Answer:

He can type 4.5/5 of a paragraph

Step-by-step explanation: Because there are 60 seconds in a mintune right. 2/3 of an hour=40 seconds. 1.5/5=20 seconds and 60 seconds=4.5/5

It angle relationship and show work??

Answers

Answer:

m<x=146

Step-by-step explanation:

its a supplementary angle, meaning both angles add up to 180.

So we subtract 34 from 180 which is 146.

180-34=146

PLZ I NEED HELP
i really need help on this or i will fail!!!

Answers

Answer:

A

Step-by-step explanation:

A

If you have the point (3,5) x = 3 and y = 5
x + 1 = 3 + 1. 3 + 1 = 4
The point (4,5) is one unit to the right of (3,5) so (x+1,y) would move one to the right

The settlers who brought their Mennonite and Amish faiths with them were from which country?
* it's not Switzerland*

and it supposed to be in this article

I have two history classes and I forgot which one this one is for.

Answers

Pennsylvania Germans

A bag contains 42 red, 45 green, 20
yellow, and 32 purple candies. You
pick one candy at random. Find the
probability that it is green or yellow.

Answers

Answer:

65/139 fraction form

0.47 decimal form

Answer:

Step-by-step explanation:

Total sample space , n (s) = 139

no of green candies , n (g) = 45

no. of yellow candies , n (y) = 20

Probability that is green or yellow is

P( g or y) = P(g) + P(y)

               = n(g) / n(s) + n (y) / n(s)

               = 45 / 139 + 20 / 139

               = 65 / 139

hope it will help :)

Yo pls help ill give you 10 or 22 points I’m rlly stuck pls pls help me :(

Answers

Answer: x < -6

Step-by-step explanation:

16 > -3x-2

18 > -3x

x < -6

(flip the sign because you are diving by a negative number.)

The radius of a circle is 4 centimeters. What is the angle measure of an arc bounding a sector with area 2​ square centimeters?

Answers

Answer:

Measure of the arc = 14.32°

Step-by-step explanation:

Radius of a circle = 4 cm²

Area of the circle = πr²

Here, r = radius of the circle

Area of the circle = π(4)²

                             = 16π cm²

                             = 50.265 cm²

Since, area of a sector = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]

Here, θ = Central angle subtended by the arc Or measure of arc

Area of the sector given as 2 cm²

2 = [tex]\frac{\theta}{360}(50.265)[/tex]

θ = 14.32°

Therefore, measure of the arc = 14.32°.

Kenji packed an exercise ball into a cylindrical package. The cylindrical package is made out of plastic. How much plastic was used to make the package? Express your answer in terms of π. Enter your answer in the box.

Answers

Answer:

45[tex]\pi[/tex]

Step-by-step explanation

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = h

Lets say r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = [tex]\pi[/tex] ×  × 5

                                  = [tex]\pi[/tex]  × 9 × 5

                                 = 45[tex]\pi[/tex] cubic feet

How far up the house would a ladder be resting if it is 25 ft long and 3 ft
away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft

Answers

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

HELP ILL GIVE BRAINLIEST what shape is the base??

Answers

Answer:

rectangle

Step-by-step explanation:

it's width is 6

it's length  is 12

it couldn't be a square

Help due in 15 mins!

Answers

Answer:

Step-by-step explanation:

1

a man saves 8% of his salary every month . if he saves rs. 2880 every month ,what is his monthly salary

Answers

Answer:

Total salary = Rs.36,000

Step-by-step explanation:

Given:

Amount saves = Rs. 2,880

Percent of saving = 8% = 0.08

Find:

Total salary

Computation:

Total salary = [Amount saves] / Percent of saving

Total salary = 2,880 / 0.08

Total salary = Rs.36,000

Proving Two Triangles Are Congruent: What additional is needed to prove that ABC = DBF using the SAS congruence theorem?

Answers

Answer:

the answer is the side length of ab and db

Answer: D on edge

Step-by-step explanation:

Thelma and Louise are in charge of purchasing supplies for their school film program. Thelma and Louis have at most $350 to spend. Write an inequality representing the amount Thelma, x, and Louise, y have to spend.

Answers

Answer:

350 >= x + y

Step-by-step explanation:

They have at most 350 so they can't spend over 350 but they can spend less

If a sheet of aluminum is 0.04. inches thick, find the height of 76,421 sheets stacked together .

Answers

Answer:

3056.84

Step-by-step explanation:

yes this is the answer

hey guys help me with this
and pls explain your answer

Answers

Answer:

720

Step-by-step explanation:

in an all year is 8760

Help please before the bots with the links answer
Brainiest answer will be given

Answers

Answer:

1/3

Step-by-step explanation:

Carla e Ana foram tomar sorvete e gastaram r$ 23,00 dividido a conta em partes iguais, quanto cada uma pagou ? Gente me explica como faz a conta não só resposta por favor

Answers

Answer:

each of them has to pay $11.5 individually

Step-by-step explanation:

The computation of the amount paid by each one is shown below:

As carla and Ana gone for an icecream and the bill is $23 that should be divided equally

So here the carla should pay

= $23 ÷ 2

= 11.5

And, Ana should pay

= $23 ÷ 2

= $11.5

Hence, each of them has to pay $11.5 individually

Please help as quickly as possible, this is Algebra 1!

Answers

Answer:

First-term is 7

The second term is 14

and the third term is 28

i think so im not 100%

Find the value of x.
45 3x
N
K
M

Answers

Answer:

I'm unable to understand your question please write it properly

Other Questions
plz help me, you identify the error the solve the problem correctly Consider Functions F and G Lucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, the estimated P-value is 0.0733. Using = 0.05, what conclusion should Lucy reach?Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.Because the P-value of 0.0733 > Alpha, Lucy should reject Ha. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is convincing evidence that the proportion of customers who will ask for a straw is less than 50%.Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%. Plzz help meee! I am timed If you want to go from level 10 to level 1, you should use a color ? Describe the transformations of f(x) when compared to the parent function [y = x2].f(x) = x2+5 If someone were to injure their shoulder, should they rehab the elbow as well? Or vise versa? 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