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netineya [11]
3 years ago
6

Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs

$1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold
Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

Set up 2 equations:

Total items sold: x + y = 300

This gets rewritten as x = 300-y

The second equation is for total amount made:

2.50x + 1.50y = 522

Replace x in the 2nd equation with the value of x from the first one:

2.50(300-y) + 1.50y = 522

Simplify:

750 - 2.50y + 1.50y = 522

Combine like terms:

750 - y = 522

Subtract 750 from both sides:

-y = -228

Divide both sides by -1 ( to make y positive)

y = 228

Now replace y in the first equation to solve for x:

x+ 228 = 300

Subtract 228 from both sides:

x = 72

He sold 72 bags of popcorn and 228 sodas.

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dimaraw [331]

Answer: MP=(1,1)

Step-by-step explanation:

MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})

MP= (\frac{-2+4}{2})(\frac{-3+5}{2}) -2+4=2  -3+5=2

MP= (\frac{2}{2})(\frac{2}{2}) 2/2=1

MP= (1,1)    

8 0
2 years ago
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gavmur [86]

Answer:

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Step-by-step explanation:

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Hope this helps and pls do mark me brainliest if you can:)

4 0
3 years ago
Consider the graph of the equation y = 5. Which statements are true? Check all that apply.
levacccp [35]

Answer:

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Step-by-step explanation:

This is horizontal because 5 on the y axis is always going to stay the same. For any x value, the y value is 5. Therefore, (-4, 5) is part of that line.

6 0
2 years ago
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock
cluponka [151]
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Any help would rlly appreciate it
Scrat [10]
Go to khan academy they show you how
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2 years ago
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