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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:

Option D = 16π/3 ft

Step-by-step explanation:

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16π/3 ft

So, the arc length is 16π/3 ft

3 0
2 years ago
Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?
Anna11 [10]

Answer:

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Step-by-step explanation:

Slope intercept form of a line is given by:

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We can write:

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Now to find b, we replace x with -3 and y with -4, given, so we have:

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3 0
3 years ago
Which angle is complementary to<br> FGa
malfutka [58]

Answer:

Is there a picture for this?

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP DUE SOON
vaieri [72.5K]

Answer:

I got 7%

Step-by-step explanation:

110 x .15 = 16.5

110-16.5=93.5

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110 - 102.82 + 7.18

7.18/102 = .0698

.0698 x 100 = 6.98

7%

I have this on my middle school test and it's my first time doing it so yea. I hope it helps even if it's already too late.

I had to edit it beforee

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2 years ago
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3 years ago
Read 2 more answers
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