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Grace [21]
3 years ago
7

Kayden and Carter go to the movie theater and purchase refreshments for their friends.

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
8 0

Answer:

3x + 6y = 64.50________equation 1

9x + 8y = 106.00_______equation 2

Price of a bag of popcorn is $3(300 cents) WHILE the price of one drink is $8.75(875 cents)

Step-by-step explanation:

The question here says that Kayden and Carter go to the movie theater and purchase refreshments for their friends.

Kayden spends a total of $64.50 on 3 bags of popcorn and 6 drinks.

Carter spends a total of $106.00 on 9 bags of popcorn and 8 drinks.

Now let's assume that the price of each bag of popcorn is X and the price of one drink as Y

It means that

3x + 6y = 64.50________equation 1

9x + 8y = 106.00_______equation 2

Make "x" the subject of the formula in equation 1

3x = 64.50 - 6y

X = (64.50 - 6y)/3

Apply the above in equation 2 and we have

9[ (64.50 - 6y)/3] + 8y = 106

9(21.5 - 2y) +8y = 106

193.5 - 18y + 8y = 106

193.5 - 10y = 106

Y= (193.5 - 106)/10

Y= $8.75 (price of one drink)

Now substitute Y = 8.75 in equation 1

3x + 6y = 64.50

3x + 6(8.75) = 64.50

3X = 64.50 - 52.5

X = 12/3

X = 3

aalyn [17]3 years ago
4 0

Answer:

The answer for the popcorn was actually $4.00.

Step-by-step explanation:

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Multiplicative inverse of fraction 4/12
docker41 [41]

Answer:

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hope it helps!

Step-by-step explanation:

A multiplicative inverse is a reciprocal... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1.

So the inverse of 4/12 is 12/4

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5 0
3 years ago
Read 2 more answers
(219,379.01 - x) / x = .3321
Ivahew [28]

Answer:x = 164686.592598

Step-by-step explanation:

219379.01−x/x = 0.3321

−x+219379.01/x = 0.3321

Step 1: Multiply both sides by x.

−x+219379.01≈0.3321x

−x+219379.01 − 0.3321x = 0.3321x−0.3321x (Subtract 0.3321x from both sides)

−1.3321x + 219379.01 = 0

−1.3321x + 219379.01 − 219379.01 = 0 − 219379.01 (Subtract 219379.01 from both sides)

−1.3321x = −219379.01

−1.3321x/−1.3321 = −219379.01/−1.3321

(Divide both sides by -1.3321)

x = 164686.592598

6 0
2 years ago
Read 2 more answers
A. 37<br> B. 38<br> C. 39<br> D. 40
Dvinal [7]

Hello ^w^

I believe the answer you are looking for is A

I found this answer by adding up the lengths of all the sides.

S -> T = 8

S -> R = 7

Q -> R = 6

P -> Q = 6

P -> T = 10

10 + 6 + 6 + 7 + 8 ->  37

A -> 37

If I am incorrect, please inform me.

Have a good day!

4 0
3 years ago
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