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Liula [17]
3 years ago
15

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen ticket

s and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket? please show work.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0
Assign variables to the groups. "S" stands for senior citizens and "C" stands for children. 


3S + 9C = 75

8S + 5C = 67

We must cancel one of these variables out; I did this by multiplying the top equation by 8 and the bottom equation by 3.

24S + 72C = 600
24S + 15C = 201

Subtract these two expressions and you get C = 7. Plug 7 in for C into any of the above expressions and solve for S. You will find that S = 4.
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If the length of a rectangular yard is represented by w+4 and the width by 2w+5, write a simplified expression in terms of w tha
adell [148]

Answer:

P = 6w + 18

Step-by-step explanation:

A rectangle is a plane shape having a LENGTH and a WIDTH.

Length (l) = w + 4

Width (w) = 2w + 5

To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.

Perimeter (P) = 2 ( l + b)

Where l = length= w + 4

Where b = width = 2w + 5

P = 2( w + 4 + 2w + 5)

P = 2( 3w + 9)

P = 6w + 18

6 0
4 years ago
How do you solve the following problem: is (3,4) a solution to 2x+3y=10?
ale4655 [162]
The answer is C. plug 3 and 4 into the equation and see if it's true.
3 0
3 years ago
PLEASE HELP ME I NEED HELP NOW AND NO ONE IS ANSWERING
Oksanka [162]
All the choices are correct.

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In our base-10 number system, moving a digit one place to the left multiplies its value by 10. Moving it one place to the right multiplies its value by 1/10.

You know already that 1,000 has 10 times the value of 100, and 1/10 the value of 10,000.
4 0
3 years ago
Describe the vector as an ordered pair around coordinates to the nearest 10th the diagram is not drawn to scale
xxMikexx [17]

Answer:

see explanation

Step-by-step explanation:

x = r cosΘ

y = r sinΘ

with r = 54 and Θ = 69°, thus

x = 54cos69° ≈ 19.4

y = 54sin69° ≈ 50.4

Thus (54, 69° ) as an ordered pair

= \left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]

4 0
3 years ago
Noah tried to prove that cos(θ)=sin(θ) using the following diagram. His proof is not correct.
alukav5142 [94]

Answer:

The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.

The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.

3 0
3 years ago
Read 2 more answers
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