You and your friend are selling tickets to a charity event. You sell 8 adult tickets and 6 student tickets for $126. Your friend sells 12 adult tickets and 13 student tickets for $209. What is the cost of a student ticket?

Answers

Answer 1
Answer: s=cost per student ticket
a=cost per adult ticket

value=(students vlue)+(adults value)
student value=(cost per student) times number of students
adult value=(cost per adult) times number of adults



you sell 8 adult and 6 students and that is a value of 126
8a+6s=126

friend sell12 adult and 13 student and get 209
12a+13s=209

so we have
8a+6s=126 and
12a+13s=209
it might help to simplify  the first equaiton by dividing by 2
4a+3s=63

we have
4a+3s=63
12a+13s=209
multiply first equaton by -3
-12a-9s=-189

add to secont equaiton

12a+13s=209
-12a-9s=-189 +
0a+4s=20

4s=20
divide 4
s=5

each student ticket costs $5.00

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At the theater, one section of seats has 8 rows with 12 seats in each row. In the center of each of the first 3 rows are 4 broken seats that cannot be used. How many seats can be used in the section?

Answers

92 because 8*12 is 96. Then, you have to do 96 - 4 which is 92.

Final answer:

Initially, we have 96 seats in the theater. However, due to 12 broken seats in the first 3 rows, 84 seats are usable.

Explanation:

To answer this question, we will use simple multiplication and subtraction techniques of Mathematics. This is about calculating the number of workable seats in a theater.

First, we need to calculate the total number of seats in the theater. There are 8 rows with 12 seats in each row. We multiply the number of rows by the number of seats in each row: 8 rows * 12 seats/row = 96 seats.

In the first 3 rows, there are 4 broken seats in each of these rows. We need to subtract these from the total number of seats: 3 rows * 4 broken seats/row = 12 broken seats.

Finally, we subtract the number of broken seats from the total number of seats to find out how many seats can be used: 96 seats - 12 broken seats = 84 usable seats.

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If the difference of (3x^2-2x+5)-(x^2+3x-2) is multiplied by 1/2x^2, what is the result?

Answers

I hope this helps you

The height ,H of a cylinder is 5 units less than 3 times the radius, r. What is an expression that can represent this

Answers

Answer:

H =  3 r - 5 .

Step-by-step explanation:

Given  : The height ,H of a cylinder is 5 units less than 3 times the radius, r.

To find  : What is an expression that can represent .

Solution : we have given that

The height ,H of a cylinder is 5 units less than

3 times of radius = 3 *r

H =  3 r - 5 (  negative sign for less than )

Therefore,  H =  3 r - 5 .

H = 3r - 5 (equation)
3r - 5 (expression)

Tony rode his bicycle 3 7/10 miles to school. What is this distance written as a decimal?

Answers

Answer:

The distance written as a decimal is 3.7

Final answer:

To write 3 7/10 miles as a decimal, multiply the whole number by the denominator and add the numerator, then write the result over the denominator. Simplify the fraction if possible.

Explanation:

To write the distance in decimal form, we need to convert the mixed number to a decimal. The given distance is 3 7/10 miles. To do this, we multiply the whole number, 3, by the denominator, 10, and add the numerator, 7. So, 3 multiplied by 10 plus 7 equals 37. Then, we write 37 over the denominator 10, giving us 37/10. Finally, we can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which in this case is 1. Dividing 37 by 1 gives us 37, and dividing 10 by 1 gives us 10. Therefore, the distance of 3 7/10 miles can be written as the decimal 3.7 miles.

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T to the power of 2 equals 25

Answers

5 to the power of 2 is 25

To solve this, you would multiple 5*5 and you will get 25

Plug in a test point to find the region to be shaded

Answers

is there a picture we can use to understand this?

Answer:

Answers will vary. For example, plugging in the test point (0, 0):

x + y ≤ 900

0 + 0 ≤ 900

0 ≤ 900

The test point (0, 0) holds true for the inequality.