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.
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Answers
Answer:
K = 1
Step-by-step explanation:
K + 2 = 3
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Answer:
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Step-by-step explanation:
K+4 / 2 = 3
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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
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Divide by (-2)
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Hence, the value of x is -3.
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Please help me fast!!!!!
Answers
Answer:
75
Step-by-step explanation:
If both factors are negative then the product is positive.
Answer: -75
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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
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Answers
Answer:
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Step-by-step explanation:
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:
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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.
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o 11x².7
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Answers
Answer:
c
Step-by-step explanation:
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Answer:
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Answers
Answer:
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Answers
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Step-by-step explanation:
Answer:
Step-by-step explanation:
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,
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
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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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Step-by-step explanation:
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Answers
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Answer:
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Answers
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Answers
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Answers
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Answers
Answer:
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------- -------
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Answers
Answer:
I'm not sure of my answer but try this:
If 5 workers take 600 hours to finish a project, how long will it take 10 workers to complete the same project?
