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kirill [66]
3 years ago
9

tickets of a program at college cost $4 for general admission or $3 with a student ID. if 180 people paid to see a performance a

nd $615 was collected, how many of each type of ticket were sold?​
Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

75 general

105 student ID

Step-by-step explanation:

(it's a system)

4x+3y=615

x+y=180

(system as well)

4x+3y=615

x=180-y

4(180-y)+3y=615

720-4y+3y=615

-y=-105

y=105

x+105=180

x=180-105

x=75

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3 years ago
Brent counted 5 red cards, 10 black cards, and 20 blue cards in a deck of cards. What is the ratio of blue cards to red cards?
Elena-2011 [213]

Answer:

20:5 - If you're going to simplify it, do 20/5 which is 4/1.

Step-by-step explanation:

6 0
2 years ago
Which three pieces of information contribute the most to your credit score?
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2 years ago
Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac
olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p  = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0
3 years ago
Read 2 more answers
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

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5 0
2 years ago
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