!!! 20 POINTS !!!
Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17.

Find the rental cost for each movie and video game.

Answers

Answer 1
Answer: rental cost for each movie $1.50
Rental cost for each video game $6.25

Explanation:

m = rental cost of each movie
g = rental cost of each game

Set up:

8m + 4g = 37
3m + 2g = 17

Modify for elimination:

3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136

Subtract:

24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25

Divide:

4g = 25

g = 25/4

g = 6.25

So each game is $6.25

Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie

3m + 2 (6.25) = 17 (multiply 2 & 6.25)

3m + 12.50 = 17 (subtract 12.50 from sides)

3m = 4.50 (divide both sides by 3)

m = 1.50

So each movie rental is $1.50


Related Questions

what 3x to the 5th power and 3x to the ninth power

Answers

Answer: 19926

this is the answer


. After consulting with his broker, Dan Hostetler purchases 2,000 shares of Ballon
Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific
at $26.76 per share. What is the total cost of the stocks including the commission?

Answers

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.

What are stocks?

Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.

We have a number of shares at $44.41 per share = 100

Number of shares at $19.08 per share = 600

Total number of shares = 700

Broker's charges per share = $0.04

Hence, The total cost of the stock including the commission

= Cost of stock + commission

= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)

= 15,917

Thus, the total cost of stock including the commission is $15917.

Learn more about stocks here;

https://brainly.com/question/14649952

#SPJ1

Find the area of a
square that has a side
length of 3 1/2 cm

Answers

Answer:

12.25cm2

Step-by-step explanation:

Area of a square= S ×S

3 1/2 × 3 1/2 = 3.5×3.5 = 12.25

The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.

Please help ASAP!!!
Will mark brainiest!!!!!

Answers

Answer:

  533.3 mph

Step-by-step explanation:

You want the average round-trip speed if the speed to London was 480 mph and the return trip to Boston was 600 mph.

Speed

The average speed will be the total distance divided by the total time. The time is found by dividing the distance by the speed.

If the distance is d, the total time in hours is ...

  d/480 +d/600 = (3/800)d . . . . . hours

Then the average speed is ...

  2d/(3/800d) = 1600/3 ≈ 533.3 . . . . miles per hour

Alyssa's average speed on the round trip was 533.3 mph.

__

Additional comment

In the real world, eastbound speeds are usually faster than westbound speeds.

<95141404393>

please help, thank you so much

Answers

Step-by-step explanation:

a) 3×2×t=6t

b)500 years

A student prepares 150.0 ml of 1.40 m hcl using 35.0 ml of a stock solution. what is the concentration of the stock solution? use m subscript i v subscript i equals m subscript f v subscript f.. 0.327 m 4.29 m 6.00 m 7.35 m

Answers

Answer:

  (c)  6.00 M

Step-by-step explanation:

The given equation can be solved for the unknown concentration.

__

  [tex]m_iv_i=m_fv_f\\\\m_i(35.0\text{ ml})=(1.40\text{ M})(150.0\text{ ml})\\\\m_i=\dfrac{(1.40\text{ M})(150.0\text{ ml})}{35.0\text{ ml}}\\\\\boxed{m_i=6.00\text{ M}}[/tex]

The concentration of the stock solution is 6 M.

Answer: c- 6.00 m

Step-by-step explanation:

got it right on edge

Mary did not pay last month's credit card bill in full. Below is a list of Mary's daily balances for his last billing cycle.
For 6 days she owed $500.00
For 4 days she owed $350.26
For 7 days she owed $568.45
For 8 days she owed $480.34
For 6 days she owed $649.90
Type your answer.

Answers

500+350.26+568.45+480.34+649.90 = $2548.95

hope it really helps...!!!

what are the features of the function f(x)=-log2(x+8)graphed below

Answers

Answer:

what graph?

Step-by-step explanation:

The inequality 10w + 40 < 450 represents the maximum number of ten-pound weights, w, a weight bench can hold if the maximum weight capacity of the bench is less than 450 pounds. The table shows the steps a trainer takes to solve the inequality.​

Answers

Hey there!

10w + 40 < 450

SUBTRACT 40 to BOTH SIDES

10w + 40 - 40 < 450 - 40

SIMPLIFY IT!

10w < 450 - 40

10w < 410

DIVIDE 10 to BOTH SIDES

10w/10 < 410/10

SIMPLIFY IT!

w < 410/10

w < 41

(Your graph is shown below)

Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

The baseball diamond at a playground is a square with sides that measure 70 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.
A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical.
70 feet
140 feet
9,800 feet
99 feet

Answers

Answer:

70 if you walk directly across, 140 if you're running the bases

Step-by-step explanation:

So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.

Suppose you take a sample of 15 pieces of colored fruit snacks and a sample of 60 pieces of colored fruit snacks from one day's production. Which sample is more likely to give you a prediction closer to the actual number of each color? Explain

Answers

Answer:

The sample of 15 pieces of colored fruit snacks

Step-by-step explanation:

The sample of 15 pieces of colored fruit snacks. The 60 pieces are from ONE day which means it can be heavily biased. It might be like "BLUE RASPBERRY SPECIAL DAY!" or "PRESIDENTS DAY!! RED BLUE AND WHITE!!". However, 15 pieces, whilst having less of a population, is probably more spaced out.

437.683
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.

Answers

Step-by-step explanation:

find the egn of the line through (a.b)and perpendicular to the lime passing through (a.2b)and (b.2a)for a#b?

The survey included 80 students. How many students chose bananas?

Answers

Answer:

20 Students chose bananas.

Step-by-step explanation:

You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.

Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 mile, he stops for water. He continues hiking another 1/6 mile and stops to rest. How much farther must he hike to finish the trail ?​

Answers

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

Step-by-step explanation:

Answer:

R.d. = 1/2 mile

Step-by-step explanation:

Facts of note

Total distance to be covered = 11/12 mileDistance covered = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 mile

Solving

Remaining distance = Total - coveredR.d. = 11/12 - 5/12R.d. = 6/12R.d. = 1/2 mile

Help pls i rly need help

Answers

x = 16/7

Step by step explanation :

[tex] \frac{x}{2} - 1 = \frac{3 - x}{5} [/tex]

Taking LCM in Left Hand Side

[tex]⇢ \frac{x - 2}{2} = \frac{3 - x}{5} [/tex]

Now, By cross multiplying ,we get. ..

[tex]⇢5(x - 2) = 2(3 - x)[/tex]

[tex]⇢5x - 10 = 6 - 2x[/tex]

[tex]⇢5x + 2x = 6 + 10[/tex]

[tex]⇢7x = 16[/tex]

[tex]⇢ \boxed{ x = \frac{16}{7} }[/tex]

Answer:

x = 16/7

Step-by-step explanation:

Given

x/2 - 1 = 3 - x / 5

Solving

#1) Find the LCM.

Product of denominator values2 x 5 = 10

#2) Multiply both sides by 10.

10(x/2 - 1) = 10(3 - x / 5)5x - 10 = 2(3 - x)5x - 10 = 6 - 2x

#3) Bring x terms to the left and numbers to the right.

5x + 2x = 6 + 107x = 16x = 16/7

Help
Need the steps >.

Answers

Answer:

x = 3

Step-by-step explanation:

using the rule of exponents

[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]

[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]

[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]

suince the bases on both sides are equal, then equate the exponents

2x = 9 - x ( add x to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Create a table of values and graph the function g(x)=|x-4|

Answers

Table of values

4 0

5 1

6 2

7 3

Sally bought a soft drink for 4 dollars and 8 candy bars. She spent a total of 28 dollars. How much did each candy bar cost?​

Answers

Answer:

$3

Step-by-step explanation:

If the soda was $4 and she spent a total of $28

then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3

How many ways are there to seat six boys and seven girls in a row of chairs so that none of the girls sit together. A detailed explanation would be most appreciated.

Answers

Answer:

5040 ways

Step-by-step explanation:

There will be 13 chairs altogether.

Since there are 7 girls who cannot sit together, the pattern will be alternate.

→ G, B, G, B, G, B, G, B, G, B, G, B, G

Means the ways of girls seated = 7!No. of ways of boys seated = 6!

Total Ways

7! x 6!6! (7 x 1)6 x 5 x 4 x 3 x 2 x 1 x 7720 x 75040 ways

PLS HELPPPPPP IT'S LOCUS AND I HAVE NO IDEA HOW TO DRAWWWW
40 POINTS WILL BE REWARDED
THANKS A LOT

Answers

Answer:

im not really good at drawing but Can I ask a question can I help you with other questions?

Step-by-step explanation:

find the ninth term of the geometric sequence, given the first term and the common ratio: a1=1, r=-1/3

Answers

Answer:

1(-1/3)^8

Answer: 1/6561

hope this is better

Please help me with this

Answers

It would be C because that is the one that make the most sense

Plss some help!!
Its easy just not for me. lol

Answers

Answer:729

Step-by-step explanation: volume is base area × height

Base area = 9×9

Volume =9×9×9

A Diameter of a circle has endpoints P(-10, -2) and Q(4, 6)

a. Find the center of the circle.

b. find the radius. If your answer is not an integer, express in in radical form.

c. write an equation for the circle
PLS HELP FAST!
Will Give Brainiest if answered properly!

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

the centre of the circle is at the midpoint of the endpoints.

using the midpoint formula

centre = ( [tex]\frac{-10+4}{2}[/tex] , [tex]\frac{-2+6}{2}[/tex] ) = ([tex]\frac{-6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 3, 2 )

(b)

the radius r is the distance from the centre to either of the endpoints

using the distance formula to find r

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = Q (4, 6 )

r = [tex]\sqrt{(4-(-3))^2+(6-2)^2}[/tex]

  = [tex]\sqrt{(4+3)^2+4^2}[/tex]

  = [tex]\sqrt{7^2+16}[/tex]

  = [tex]\sqrt{49+16}[/tex]

   = [tex]\sqrt{65}[/tex]

(c)

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius , then

(x - (- 3) )² + (y - 2)² = ([tex]\sqrt{65}[/tex] )² , that is

(x + 3)² + (y - 2)² = 65

Answer:

Step-by-step explanation:

a) Use midpoint formula to find the center.

[tex]\sf \boxed{Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

P(-10 ,-2) ⇒x₁ = -10  & y₁ = -2

Q(4,6) ⇒ x₂=4   & y₂ = 6

[tex]\sf midpoint = \left(\dfrac{-10+4}{2},\dfrac{-2+6}{2}\right)[/tex]

            [tex]=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)\\\\=\left(-3,2\right)[/tex]

b) To find the radius, use the distance formula

[tex]\boxed{distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

Q(4,6)  & O(-3,2)

[tex]r=\sqrt{(-3-4)^2+(2-6)^{2}}\\\\=\sqrt{(-7)^{2}+(-4)^2}\\\\=\sqrt{49+16}\\\\= \sqrt{65}[/tex]

radius = √65

c) Equation of circle : (x - h)² +(y -k)² = r²

Where (h,k) is the coordinates of the center and r is the radius

(x -[-3])² + (y - 2)²= (√65)²

(x + 3)² + (y -2)² = 65


#5 The MAC is 4 centimeters. Find the circumference of B. Round your answer to the hundredths.

Answers

Answer:

C ≈ 11.71 cm

Step-by-step explanation:

using the ratio arc  AC : circumference C = angle at centre of sector : 360°

[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is

[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )

123 × C = 4 × 360 = 1440 ( divide both sides by 123 )

C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )

What is the range of y=−3x2−12x−17?

Question 9 options:

y≤−5

y≥5

x≥−5

x≤5

Answers

Answer: y≤−5

Step-by-step explanation:

The Coolmathz family is ordering pizza. They order two pizzas. One is $15, and the other is $12. They use a coupon for 5% off the whole order. They then tip 18% of the cost after the coupon. How much did the Coolmathz family spend in total? Show your work

Answers

Answer:

30.51$

Step-by-step explanation:

15+12=27$

5% of 27$=1.35$

18% of 27=4.86

Do the math: 27+4.86-1.35=30.51

Jennifer has built a shelf which can safely support 16.40 pounds. if there are 2.20462 pounds in a kilogram, how many kilograms can jennifer’s shelf support? a. 7.44 kg b. 13.44 kg c. 32.42 kg d. 36.16 kg

Answers

The weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Ratio and proporrtions

Fractions are written as the ratio of two integers

Given the following

Amount of pounds that Jennifer buuilt = 16.40 pounds

If 1 kg = 2.20462 pounds

Calcualate the measure of shelf in kg
Weight = 16.40/2.20462

Weight = 7.44kg

Hene the weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Learn more on ratio here: https://brainly.com/question/2328454

which figure is a rotation of figure A?

Answers

Answer:

Figure D would be an 180 degree rotation of Figure A

Step-by-step explanation:

Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D

Answer:

Figure D

Step-by-step explanation:

From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)

From Figure A to C, it looks like a translation (5 units down) (x - 5, y)

From Figrue A to C, it looks like a rotation

Therefore, our final answer is Figure D

Hope this helps!

Maria has decided that she wants to earn all A's and B's throughout high school. She has set a short-term goal to earn no grade lower than a C on any test. Even though she studied, she earned a C on her geometry test. Being determined to reach her goal, she decides to go to extra study sessions her geometry teacher provides. What does this demonstrate about Maria

Answers

The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.

What can be said about Maria?

Maria was able to set goals on the grades that she would like to earn throughtout her high school.

She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.

In conclusion, option C is correct.

Find out more on setting goals at https://brainly.com/question/24231566.

Other Questions
which country was part of the Allies during World War II in his appeal to the "silentmajority" what did President Nixon mean when hesaid that only Americans could "defeat or humiliate theUnited States"? On april 17, 1961, armed cuban exiles landed on the south coast of cuba at:. Pls helpA rectangular prism has volume 1,392 cubic feet, length 24 feet, andheight 29 feet. Find its width, in feet. Select on the map the states that signify president obamas ability, in 2008, to draw support from reliably republican southern states. Susan had to go buy school supplies. While she was out, she decided to buy some new items for her bedroom as well. her credit limit is $200, and she only spent $180 for these purchases. She had a balance of $75 which she did not pay the previous month. Which term applies to this situation? A suggested and testable explanation for an event is called a ________. Hey Rachael is removed from a rectangle to create the shaded region chandelier find the area of the shaded region be sure to include the correct unit in youranswer What happened to spain after the "invincible armada"? a. philip ruled the most technically advanced monarchy. b. spain regained control of south america, the philippines, the netherlands, and france. c. spain thrived as a result of the defeat. d. spains prestige was damaged and naval supremacy was lost. please select the best answer from the choices provided a b c d How do I write the equation Thanks for the help Answer please, I have posted it 3 times but nobody has helped, Need answer ASAP.An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet tall and has a base with a circumference of 23.236 feet, what is the volume of the sculpture? Use 3.14 for pi . {NEED HELP WILL GET BRAINLIST} Write a journal entry as if you are an American living at home during WWII. Include who you are and how your life is different than it was before the war. Women often have complications during labor while giving birth to very large babies, whereas very small babies tend to be underdeveloped. This situation results in which kind of selection on birth weight? Your parents have been paying your car insurance with the understanding that you willget a part-time job and begin to take over the payments.You have recently startedworking at a local grocery store for 20 hours a week.Your part-time pay rate is $9.00per hour.You will not be able to work any overtime 100pts for every person with the most correct questions i will give brainiest Question 1. In some lizard species, a short tail is recessive and a long tail is dominant. According to the principle of dominance:a lizard with a tt genotype will have a long taila lizard with a tt genotype will have a short taila lizard with a Tt genotype will have a short taila lizard with a TT genotype will have a short tailQuestion 2. S#x-linked disorders _____.affect females more than malesaffect males more than femalesaffect both s#xes equallyQuestion 3. Choose all the answers that apply.In some flower species, pink flowers are recessive and yellow flowers are dominant. A pink flower:has one dominant and one recessive genehas two equally dominant color geneshas the same genotype as a yellow flowerhas two recessive geneshas a phenotype of ppQuestion 4. In some goats, white hair is dominant and black hair is recessive. Which of the following statements is true?Color in goats is a s#x-linked trait.A gray goat (Ww) expresses incomplete dominance.A gray goat (Ww) must have a mutated gene.A black goat (ww) expresses codominance. Have A Great Day! What is the two different values of the digit 8 in the number 428. 87? What are the solutions to the following system of equations?2x y = 6 y = x2 9 Narrow body of water separating turkey from europe. advantages of playing sporst Jane drinks 85ml of juice out of half a litre carton. How much juice left?