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Usimov [2.4K]
3 years ago
9

Emma and Sydney go to the movie theater and purchase refreshments for their friends.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

25.50 = 7d + 2p

52.50 = 5d + 10p

These are the two equations we're going to use to determine the price of popcorn.

First we need to eliminate one set of variables. Let's eliminate the drinks.

127.50 = 35d + 10p

-367.50 = -35d + -70p

-240 = 0d - 60p

-240 = -60p

P = 4.00

So, popcorn is $4, right? Let's keep working on the problem so we can double check...

So, now let's add the $4 as the variable for P.

25.50 = 7d + 8

52.50 = 5d + 40

17.50 = 7d

12.5 = 5d

d = 2.5

d=2.5

This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00

Popcorn is $4.00, drinks are $2.50

<em>Hope I could help! :) </em>

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anyanavicka [17]

Answer:

45

Step-by-step explanation:

20 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45

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3 years ago
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The French Club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they sell at $3.50 ea
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8 0
3 years ago
A ramp 18 ft long rises to a platform. The bottom of the platform is 13 ft from the foot of the ramp. Find x, the angle of eleva
Varvara68 [4.7K]

Answer:

The answer to your question is: Ф = 43.95°

Step-by-step explanation:

Data

length = 18 ft

distance bottom to is 13 ft

x = angle = ?

Formula

cos Ф = opposite side / hypotenuse  

Process

cos Ф = 13 ft / 18 ft                   substitution

cos Ф = 0.72                            simplify

Ф = cos⁻¹ (0.72)

Ф = 43.95°                                result

8 0
3 years ago
Which best explains why this triangle is or is not a right triangle?
erastovalidia [21]

Answer:

<h2>This triangle is a right triangle:</h2><h2>36² + 15² = 39².</h2>

Step-by-step explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:

a^2+b^2=c^2

We have

a=15\ in,\ b=36\ in,\ c=39\ in

Check the equality:

L_s=15^2+36^2=225+1296=1521

R_s=39^2=1521

L_s=R_s

It's a right triangle.

6 0
3 years ago
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erastova [34]

Answer:

This should be parallel.

Step-by-step explanation:

Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.

Here, you should put both equations in slope intercept form which is y=mx+b. The letter "M" represents the slope of both equations.

2y-6=3x+4 turns into 2y=3x+10 after adding 6 and into y=3/2x+5 after dividing the equation by 2. The slope for this equation is 3/2.

8y=12x+8 must be divided by 8 to be in slope intercept form. This equation becomes y=3/2x+1. Here the slope is also 3/2.

The slopes for each equation match making these lines parallel.

4 0
3 years ago
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