Mathematics College


one month Tammy rented 2 movies and 3 video games for a total of $25. The next month she rented 4 movies and 8 video games for a total of $61. Find the
rental cost for each movie and each video game.

One Month Tammy Rented 2 Movies And 3 Video Games For A Total Of $25. The Next Month She Rented 4 Movies

Answers

Answer 1

Answer:

cost of each video game = $5.50

cost of each movie = $4.25.

Step-by-step explanation:

Let m represent cost per movie

g represents cost per video game.

Create two equations to represent the total cost Tammy rented movie and video games in each month, and solve simultaneously for each variable:

First month:

[tex] 2m + 3g = 25 [/tex] => equation 1

Second month:

[tex] 4m + 8g = 61 [/tex] => equation 2

Multiply equation 1 by 4, and multiply equation 2 by 2 to derive:

4 × [tex] 2m + 3g = 25 [/tex]

2 × [tex] 4m + 8g = 61 [/tex]

[tex] 8m + 12g = 100 [/tex] => equation 3

[tex] 8m + 16g = 122 [/tex] => equation 4

Subtract equation 4 from equation 3

You'd have:

- 4g = - 22

Divide both sides by -4

g = 5.5

Thus, the cost of each video game = $5.50.

Substitute g = 5.5 in equation 1 and solve for m.

[tex] 2m + 3g = 25 [/tex]

[tex] 2m + 3(5.5) = 25 [/tex]

[tex] 2m + 16.5 = 25 [/tex]

Subtract 16.5 from each side

[tex] 2m = 25 - 16.5 [/tex]

[tex] 2m = 8.5 [/tex]

Divide both sides by 2

[tex] m = 4.25 [/tex]

Thus, cost of each movie = $4.25.

Related Questions

The volume of blood pumped from your heart varies directly with your pulse rate. Each time your heart beats it pumps 0.06 liter of blood.
1. Write an equation that relates the volume of blood and pulse.
2. If your pulse is 74 bpm, how much blood is being pumped from your heart each minute?​

Answers

I believe it’s number two Hope this helps

If |14 -2x = 20, x could equal which of the following?

Answers

Answer:

x would equal -3

Step-by-step explanation:

want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x

-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3

The value of x is -3.

What is 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. LHS = RHS is a common mathematical formula.

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:

14 -2x = 20

Now, solving for x

Subtract 14 both side

14- 2x - 14= 20- 14

-2x = 6

Divide by (-2)

-2x/(-2)= 6/ (-2)

x= -3

Hence, the value of x is -3.

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If 5 workers take 600 hours to finish a project, how long will it take 10 workers to complete the same project?

Answers

it would take them 300 hours

What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63

Answers

the answer would be x = 7

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn? A. $33 B. $35.50 C. $45 D. $53

Answers

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help me fast!!!!!

Answers

Answer:

75

Step-by-step explanation:

If both factors are negative then the product is positive.

Answer: -75

Step-by-step explanation: 15 times 5 equals 75

Find the z-score separating the lowest 9% of scores from the highest score of 91%

Answers

Answer:

I'm not sure of my answer but try this:

IF UR GOOD AT PRECALC PLEASE HELP

Answers

Answer:

Answer is C, u can find this just by looking at domain

The answer is C hope this helps

Which two numbers below have a least common multiple of 48?

Answers

Answer:

its 3 and 16 just trust me

The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The two numbers below have a least common multiple of 48 are,

3 and 16 ⇒ 3×16=48

Hence, the two numbers below have a least common multiple of 48 is 3 and 16.

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A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.

Answers

Answer:

9.42 yd²3.57 yd

Step-by-step explanation:

Part A

The area of circle with radius of 2 yd (the length of the rope) is:

A = π*r² = 3.14*2² = 12.56 yd²

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

12.56*3/4 = 9.42 yd²

Part B

Let the area be 30 yd², finding the r as per above formula:

3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd

The sum of two binomials is 7x 2 - 15. If one of the binomials is 4x 2-8. what is the other binomial?
0 33²-7
o 11x².7
O 3x2-23
O 11x 2 + 23
Previous

Answers

Answer:

c

Step-by-step explanation:

Find the measure of angle b.
4)
36°
what do you guys think

Answers

Answer: 54°
It’s a 90° angle so you just subtract whatever it is from 90

Solve for k.

k + 4 over 2 = 3

Answers

Answer:

K = 1

Step-by-step explanation:

K + 2 = 3

K = 3 -2

K = 1

Answer:

K=2

Step-by-step explanation:

K+4 / 2 = 3

If you input 2 into the equation you get 3.

2+4=6

6/2 = 3

A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.

Answers

Answer:

3.33 is the answer

Determine if the lines are parallel, perpendicular, or neither. y + 3 = 7/4x and -4/7x + y = 9. Do I still have to solve y + 3 = 7/4x?

Answers

Answer:

No you dont have to solve it. And I believe it is perpendicular.

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.

A new hard drive costs $225, plus $40 per hour for labor. The linear equation y = 40x + 225 gives the cost y in dollars for x hours of labor. If Jane has $385 to spend on computer repairs, using plug and chug strategy for x hours of labor, what is the maximum number of hours the computer technician can work?

Answers

Answer:

Step-by-step explanation:

225+40h=y

225 + 40x = 385

-225 -225

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

40x = 160

x= 4

GIVING BRAINLIEST IF CORRECT PLEASE HELP ASA[P

Answers

Answer:

Step-by-step explanation:

1: Green because it has more sections than the other colors

2: 4/8

Hope this helps!

Answer:

A) green

B) 4/8

brainliest please


Find the midpoint of the segment whose endpoints are (8,6) and (10.4)​

Answers

Answer:

the midpoint is (9,5). hope this helps

Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?

Answers

Answer:

Dozen eggs = $5.5

Wheel of cheese = $6.25

Pound of potatoes = $3.1

Step-by-step explanation:

Let the cost

Dozen of egg = x

Wheel of cheese = y

Pound of potato = z

We will form linear equations using the information given in the question

Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes

3x + y + 5z = 38.25 ................(1)

Barry bought 1 dozen eggs and 10 pounds of potatoes

x + 10z = 36.50 ............(2)

Charles purchased 2 dozen eggs and 2 pounds of potatoes

2x + 2z = 17.20  .................(3)

solving 2 and 3

x = $5.5  and z = $3.1

substitute these values in equation 1

we get

y = $6.25

The cost

Dozen eggs = $5.5

Wheel of cheese = $6.25

Pound of potatoes = $3.1

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour

Answers

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

What is a secure line of credit?
a. A line of credit offered only to individuals with excellent credit ratings.
b. A line of credit offered to a business or corporation.
c. A line of credit backed by the government.
d. A line of credit backed by collateral.

Answers

Answer:

D. A line of credit backed by collateral.

Step-by-step explanation:

Answer:

D. A line of credit backed by collateral.

Step-by-step explanation:

did the quiz

The boiling point of water in the Fahrenheit scale is 212 degrees ?

True
False

Help

Answers

The answer fam is........True (212°F)

the answer is true. hope this helps

The expression factors as: (n4 + 3)(n4 + 3)
(n4 - 3)(n4 + 3)
(n4 – 3)(n4 – 3)

Answers

Answer:

(n 4)

Step-by-step explanation:

Answer:

B - the second one (on EDGE)

Step-by-step  :

Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?

Answers

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!

find the original price of a pair of shoes if the sale price is $40 after a 60% discount

Answers

Answer:

Thus, the original price of the pair of shoes was $100.

Step-by-step explanation:

Percentages

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

what is 2+2 my brain has been in circles about this

Answers

Answer:

hey  welcome to Brainly, and 2 + 2 = 4

Step-by-step explanation:

2+2=4

3+3=6

4+4=8

5+5=10

and so on just keep adding 2

7n + 5 =68.... how to solve this problem and show my work​

Answers

Answer:

n = 9

Step-by-step explanation:

7n + 5 = 68

7n + 5 - 5 = 68 - 5

7n = 63

7n / 7 = 63 / 7

n = 9

4/9 as a ratio? please answer ASAP!!!

Answers

Answer: 49

Step-by-step explanation:

1) The membership fee of Math Club is P25. What is the total amount
paid by 1,252 members?
A. P 31,250
B. P 31,252
C. P 31,230

Answers

Answer:

it's actually none of those the answer I have is p 31,300

It’s it A B C D please answer

Answers

Answer:

It is B. I hope this helps.

Step-by-step explanation:

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