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.
Answers
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
What is a secure line of credit?
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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.
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Answer:
D. A line of credit backed by collateral.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
Step-by-step explanation:
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4
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(n4 - 3)(n4 + 3)
(n4 – 3)(n4 – 3)
Answers
Answer:
(n 4)
Step-by-step explanation:
Answer:
B - the second one (on EDGE)
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Answers
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False
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Answers
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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.
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2. If your pulse is 74 bpm, how much blood is being pumped from your heart each minute?
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Answers
Answer: C
Step-by-step explanation:
Answer:
Step-by-step explanation:
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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
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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.
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Answers
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
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Answers
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Answers
Answer:
K = 1
Step-by-step explanation:
K + 2 = 3
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Answer:
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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,
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Answers
Answer:
Step-by-step explanation:
1: Green because it has more sections than the other colors
2: 4/8
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Answer:
A) green
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brainliest please
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Answers
Answer:
21%
Step-by-step explanation:
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Always divide the small number by the big number for percentages
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B. P 31,252
C. P 31,230
Answers
Answer:
it's actually none of those the answer I have is p 31,300
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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
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Thus, the original price of the pair of shoes was $100.
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Answers
Answer:
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Step-by-step explanation:
The sum of two binomials is 7x 2 - 15. If one of the binomials is 4x 2-8. what is the other binomial?
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Answers
Answer:
c
Step-by-step explanation:
If 5 workers take 600 hours to finish a project, how long will it take 10 workers to complete the same project?
Answers
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Answers
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Answers
Answer:
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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
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we get
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Wheel of cheese = $6.25
Pound of potatoes = $3.1
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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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
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Divide by (-2)
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x= -3
Hence, the value of x is -3.
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Answers
Answer:
I'm not sure of my answer but try this:
