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Colt1911 [192]
3 years ago
10

Christian and Benjamin go to the movie theater and purchase refreshments for their friends.

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

System of equations:

6d + 3p = 42.75

10d + 15p = 98.75

Drink = $5.75

Popcorn = $2.75

Step-by-step explanation:

6d + 3p = 42.75

subtract 6d from both sides

3p = 42.75 - 6d

divide both sides by 3

p = 14.25 - 2d

substitute P in the second equation with the answer and solve for D

10d + 15( 14.25 - 2d) = 98.75

distribute out the 15

10d + 213.75 -30d = 98.75

-20d + 213.75 = 98.75

subtract 213.75 from both sides

-20d = -115

divide both sides by -20

d = 5.75

substitute D back in the first equation and solve for P

3p + 6(5.75) = 42.75

multiply the 6 and 5.75

3p + 34.5 = 42.75

subtract 34.5 from both sides

3p = 8.25

divide both sides by 3

p = 2.75

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Answer:

43.0825

Step-by-step explanation:

I don't know if the tax is percentage or just adding

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3 years ago
What is the median of those in the the picture please help
Molodets [167]

Answer:

Median is 24.5

Step-by-step explanation:

Median is the middle number in a set of numbers. If we have two middle numbers, we get the average. And from the question, listing them out, we have this

0,1, 2, 3,4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49.

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5 0
3 years ago
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TEA [102]
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8 0
3 years ago
A two digit number when read from left to right to right consiststs of consecutive integers. the nmber is six more than for time
Solnce55 [7]

I suppose you want to know such number. Since we have a two digit number consisting of two consecutive integers, the only possible numbers are:

12,23,34,45,56,67,78,89

Since we sorted all the cases out, we simply have to check which one satisfies the requirement. For each number, we'll write four times the the sum of its digits, and add 6, hoping to get the original number.

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\text{Number: } 23,\ \ 4\times \text{sum of digits: } 24\ \ \text{plus six: } 30\neq 23

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3 0
3 years ago
Suppose the average math SAT score for students enrolled at local community college is 490.4 with a standard deviation of 63.7.
lakkis [162]

Answer:

Option B) 9.1      

Step-by-step explanation:

We are given the following in the question:

Average score = 490.4

Standard deviation = 63.7

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=\dfrac{\sigma}{\sqrt{n}}

Putting values, we get,

Standard error =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{63.7}{\sqrt{49}} = 9.1

Thus, the correct answer is

Option B) 9.1

8 0
2 years ago
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