Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob

2 answers:

4 0

Ok lets say
popcorn = x and
drinks = y

Jacob: 2x + 3y = 18.25
Zachary: 4x + 2y = 27.50

ok now you have to use these 2 equations to get the answer

4x + 2y = 27.50 ---> 2y = 27.50 - 4x ---> y = 13.75 - 2x

2x + 3y = 18.25
2x + 3(13.75-2x) = 18.25
2x + 41.25 - 6x = 18.25
-4x + 41.25 = 18.25
-4x = -23
x = 5.75 One bag of popcorn is $5.75

4x + 2y = 27.50
4(5.75) + 2y = 27.50
23 + 2y = 27.50
2y = 4.50
y = 2.25 One drink is $2.25

Nikitich [7]3 years ago

4 0

Answer:

Popcorn costs: $5.75, and drink costs: $2.25.

Step-by-step explanation:

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Determine whether the ordered air is s solution of the given system of equations, remember to use alphabetical order of variable

Igoryamba

Given your ordered pair you would assume a = 5, b = 2
Set up both equations
5 + 2 = 7
7 = 7 (the numbers are equal so this correct)
2(5) - 8 = 2
10 - 8 = 2
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Because both equations work with the ordered pair they are the solution of the given system.

3 0

3 years ago

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determ

Yuki888 [10]

Answer:

The probability that both of Eduardo’s partners for the group project will be girls is

Step-by-step explanation:

Given : A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.

To find : What is the probability that both of Eduardo’s partners for the group project will be girls?

Solution :

Total number of students = 26

Number of boys = 10

Number of girls = 26-10=16

Eduardo has to pull two names out of the hat without replacing them.

For the first hat,

Favorable outcome of getting girl = 16

Total number of outcome = 26

For the second hat, without replacement

Favorable outcome of getting another girl = 15

Total number of outcome = 25