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sladkih [1.3K]
3 years ago
9

Kevin and Levi go to the movie theater and purchase refreshments for their friends. Kevin spends a total of $44.50 on 3 bags of

popcorn and 4 drinks. Levi spends a total of $84.00 on 4 bags of popcorn and 8 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.
Mathematics
2 answers:
Rzqust [24]3 years ago
7 0

Answer:

44.50 = 3 x + 4 y

84= 4x +8 y

each popcorn bag costs $2.5

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The total cost for Kevin (44.50) is equal to the product of the number of popcorn bags bought (x ) and the price of each bag, plus the product of the number of drinks purchased (y) and the price of each drink (y).

Mathematically speaking

Kevin : 44.50 = 3 x + 4 y

Using the same process for Levi:

Levi : 84= 4x +8 y

The system is  

44.50 = 3 x + 4 y (k)

84= 4x +8 y (L)

If we multiply Kevin's equation by 2 and subtract it to Levi's equation:

89 = 6x +8y

          -

( 84= 4x +8 y)

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

5 = 2x

solving for x

5/2= x

2.5 =x

each popcorn  costs $2.5

AURORKA [14]3 years ago
5 0

Answer:

Popcorn costs: $5.75, and drink costs: $2.25.

Step-by-step explanation:

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tangare [24]

Answer:

Option D

Step-by-step explanation:

There are no real solution for the given equation

Answered by GAUTHMATH

8 0
2 years ago
4 tomatoes cost 3.40. What is the unit rate?
Romashka-Z-Leto [24]
3.40/4= $0.85 per tomato
8 0
3 years ago
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Please answer this question!!
Aloiza [94]
To find the surface area of the rectangular prism you do.

2(lw + lh + wh).

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8 0
3 years ago
1.
Bad White [126]

first polygon

ext. angle=180°-120°

=60°

ext \: ang =  \frac{360}{n}

n=360°/60°

n=6

second polygon

n=2(6)=12

ext. ang= 360°/n = 360°/12° = 30°

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6 0
3 years ago
Can someone help me out with this ??
nalin [4]

Answer:

1. b > -2

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Step-by-step explanation:

Question 1:

-2(b + 5) < -6

Divide both sides by -2. Remember to change the inequality sign.

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Subtract 5 from both sides.

b > -2

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Divide both sides by -1. Remember to change the inequality sign.

x - 10 <= -7

Add 10 to both sides.

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