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skelet666 [1.2K]
3 years ago
13

Makayla and Emily go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $57.00 on 6 dri

nks and 6 bags of popcorn. Emily spends a total of $33.00 on 4 drinks and 3 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a drink, to the nearest cent.
Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

A drink costs $4.50 and a bag of popcorn costs $5.00.

Step-by-step explanation:

The system would be:

6d+6p=57\\4d+3p=33\\

I'll be using the subtraction method first, to find d (price of a drink):

+6d+6p=+57\\-8d-6p=-66\\--------\\-2d=-9\\\\2d=9\\d=4.5

Now, we substitute in and solve for p:

6(4.5)+6p=57\\27+6p=57\\6p=30\\p=5

Finally, we use the second equation to check the values:

4(4.5)+3(5)=33\\18+15=33\\33=33

So:

\left \{ {{d=4.5} \atop {p=5}} \right.

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Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

x + y = 3 → (1)

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Adding the 2 equations term by term eliminates the y- term, that is

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2 years ago
In the diagram, the length of segment BC is 23 units.
timurjin [86]

Both sides should be the same length..

Since we know that BC = 23 you need to find the value of x and put it in the formula.

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x = 8

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3 years ago
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The awnser is 145
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Answer:

<u>5%</u>

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Select all the statements you agree with.
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The statements that I agree with, with respect to a parallelogram are:

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<h3>What is a parallelogram?</h3>

A parallelogram can be described as the quadrilateral  that do contains  two pairs with respect to their parallel sides.

It should be noted that the sides that can be found in the parallelogram are usually of the same length and there the sides that can be attributed to a parallelogram is usually 6.

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