The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each. The little theater holds 142 people and was sold out for both Friday and Saturday. The total sales for the two days were $1,940. How many people got tickets for both Friday and Saturday combined

Answers

Answer 1

Answer:

108 student tickets, and 176 adult tickets  were sold

Step-by-step explanation:

Adult ticket $8  Call the number of adult tickets sold "a"

Student ticket $5  Call the number of student tickets sold "s"

Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284

Then we create two different equations with the information given:

a + s = 284

8 * a + 5 * s = 1948

we can solve for s in the first equation as follows: s = 284 - a

and use it in the second equation

8 a + 5 (284 - a) = 1948

8 a + 1420 - 5 a = 1948

combining

3 a = 528

a = 528/3

a = 176

we find the number of student tickets using this answer in the substitution equation we used:

s - 284 - 176 = 108

Therefore 108 student tickets, and 176 adult tickets were sold.


Related Questions

Ms.Femandez needs to buy new carpet for her bedroom floor. A model of her bedroom floor is shown on the right .If each square foot of carpet costs $2 how much will it cost her to buy the carpet?

Answers

Correct Questions:

The correct question has a diagram attached to it which has dimensions of the bedroom floor available which are 15 by 18 feet.

Answer:

Answer is 540 $

Step-by-step explanation:

We will first find the area of the room

Area = Length x Width

Area = 15 x 18 = 270 sq feet

She needs 270 square feet of carpet.

one square feet costs 2 $

so, total cost of carpet = 270 x 2 = 540 $

Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)

Answers

Answer:

A) -18 B) r=10 C) x=-4

Step-by-step explanation:

A) 1d + 12 = 14-20

Step 1: Simplify both sides of the equation.

1d+12=14−20

d+12=14+−20

d+12=(14+−20)(Combine Like Terms)

d+12=−6

d+12=−6

Step 2: Subtract 12 from both sides.

d+12−12=−6−12

d=−18

Answer:

d=−18

B) 4(20+5) = 10r

Step 1: Simplify both sides of the equation.

100=10r

Step 2: Flip the equation.

10r=100

Step 3: Divide both sides by 10.      

r=10

C) -2(5 + x) - 1 = 3(x + 3)

Step 1: Simplify both sides of the equation.

−2(5+x)−1=3(x+3)

(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)

−10+−2x+−1=3x+9

(−2x)+(−10+−1)=3x+9(Combine Like Terms)

−2x+−11=3x+9

−2x−11=3x+9

Step 2: Subtract 3x from both sides.

−2x−11−3x=3x+9−3x

−5x−11=9

Step 3: Add 11 to both sides.

−5x−11+11=9+11

−5x=20

Step 4: Divide both sides by -5.

x=−4

13. One kilogram is equal to 1,000 grams.
How many kilograms equal 2,570
grams?
A 257 kilograms
8 25.7 kilograms
257 kilograms
0.257 kilogram
Answer quick PLZZ no website

Answers

Answer:

I'm pretty sure it's 0.257!

Step-by-step explanation:

Sorry if I got it wrong I'm trying my best hope you have a great day!!

Answer:

2.57 is the answer because 1kg=1000g so 2570\1000 ie 2.57 which is 0.257

Find the area of this figure pls

Answers

Answer:

1824 in2

Step-by-step explanation:

sqaure = 48 x 32 = 1536 in2

Triangle = (12 x 48) / 2 = 288 in2

total area = 1536 + 288 = 1824 in2

give the value of x for the equivalent ratio 3:8 x:24​

Answers

Answer:

9

Step-by-step explanation:

3/8=x/24 (cross multiplication)

3*24=8x (we don't need to multiply 3 with 24 bc we will divide both sides by 8 so it will be easier to find the final value)

x=9

Answer:

x = 9

Step-by-step explanation:

8: 24

Multiply 3

8 x 3 = 24

3 : x

Multiply 3

3 x 3 = 9

x = 9

Helpp ASAP!!!! I would appreciate it

Answers

Answer:

C. -5

The slope is -5.

Step-by-step explanation:

Hope this helps! :)

find the area of the cube​

Answers

Answer:

125 in^3

Step-by-step explanation:

5in x 5in x 5in = 125in^3

Add 2 to both sides of the equation.

So, I have this half-done equation, and the next step is to add 2 to both sides, how do I do that? Please help with a legit answer, thankyou so much!
x^3=∛(x-2)

Answers

Answer:

x = -1.135 (approx).

Step-by-step explanation:

x^3 = ∛(x - 2)

Cube both sides:

x^9 = x - 2

Subtract x and add 2 to both sides:

x^9 - x + 2 = 0

We could solve this for real roots by drawing a graph.

I did this and got one root  x = -1.135 (approx).

The other 8 roots are complex.

Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book

Answers

Answer:

12 days

Step-by-step explanation:

420/35 to find amount of days to finish book

420/35 = 12

Plz help me this is to much

Answers

4x10=40
1/2 x 3 x 6= 9
9x40=360

Please help.
Is algebra.

Answers

Answer:

Step-by-step explanation:

NEED HELP NOW!!!!!!!!!!!!!!!

Answers

Answer:

a. 3

b. 3.5

c. 9

d. 12

e. 8

f. 1.5

Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.

Answers

Answer:

17 + m ≤ 65

Step-by-step explanation:

Maximum distance = 65 miles

Number of miles already ridden = 17

Expression to represent how many more miles, 'm' she can ride ;

Number of miles already ridden + m ≤ maximum distance

17 + m ≤ 65

m ≤ 65 - 17

m ≤ 48

The amount of additional miles Lyla can ride is at most 48 miles

a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years

Answers

Answer:

Interest = $ 90000

Step-by-step explanation:

Given, Principal= $15000

Rate = 3%

Time = 5 years

Interest = P × R × T/100

Therefore, Interest = 15000 × 3 × 5/100

(dividing 100 by 5 to get 20)

= 15000 × 3 × 20

= 90000

if it helps don't forget to like and mark me down

Help! Thanks if you do! ✨✨

Answers

Answer:

I would say either A or C

Step-by-step explanation:

I think the answer is letter A

Anyone good in Geometry

Answers

Answer:

10

Step-by-step explanation:

6x = 60

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Equilateral triangles.

Since the above triangle is a equilateral triangle, that has all sides equal and also all angles are equal,

by applying the angke sum property of triangle we get as,

==> 6x + 6x + 6x = 180°

hence, 18x = 180°

==> x = 180/18 ==> 10°

hence the value of x = 10°

I need the answer to question 3 please help me

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Supplementary Angles add up to 180.

Angle C and Angle D add up to 180.

[tex]128 + 2x = 180[/tex]

[tex]2x = 52[/tex]

[tex]x = 26[/tex]

Volume of the cylinder
I’ve tried all the answers I could find and they’re still wrong.

Answers

7033.6 meters cubed. Because the formula is pie r squared times the height

HELP HELP HELP pls pls

Answers

Answer:

6

Step-by-step explanation:

[tex]\triangle{PQR}[/tex] is a right triangle.  Use the Pythagorean Theorem:

(leg)^2 + (leg)^2 = (hypotenuse)^2

The length of PR is r + 4; it's the hypotenuse.

[tex]PQ^2+QR^2=PR^2[/tex]

[tex]r^2+8^2=(r+4)^2 \\ r^2+64=r^2+8r+16 \\ 64=8r+16 \\ 48=8r \\ 6=r[/tex]

Remember, to expand [tex](r+4)^2[/tex] you multiply [tex](r+4)(r+4)[/tex]

A company makes steel rods shaped like cylinders. Each rod has a diameter of 4 centimeters and a height of 90 centimeters. If the company used 30,520.8 cm
of steel, how many rods did it make?
Use 3.14 for x, and do not round your answer.

Answers

Answer:

26.986 rods

Step-by-step explanation:

A ball is dropped from a height of 12 feet and returns to a height that is one-
half of the height from which it fell. The ball continues to bounce half the
height of the previous bounce each time. How far will the ball have traveled
vertically when it hits the ground for the fourth time? It might be helpful to
sketch the path of the ball.

Answers

Answer:

33.75 ft

Add up every time it travels both up and down.

12 + 6 + 6 + 3 + 3 + 1.5 + 1.5 + .75 = 33.75 on the fourth landing.

Step-by-step explanation:

The ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The ball is dropped from a height of 12 feet, so we can represent this with the point (0,12) on a coordinate plane.

The ball then bounces up to a height of 6 feet (half the height of the previous bounce), so we can represent this with the point (1,6) on the coordinate plane.

The ball then bounces down to a height of 3 feet (half the height of the previous bounce), so we can represent this with the point (2,3) on the coordinate plane.

The ball then bounces up to a height of 1.5 feet (half the height of the previous bounce), so we can represent this with the point (3,1.5) on the coordinate plane.

The ball then hits the ground for the fourth time.

The distance of the first bounce is 12 - 6 = 6 feet.

The distance of the second bounce is 6 - 3 = 3 feet.

The distance of the third bounce is 3 - 1.5 = 1.5 feet.

The distance of the fourth bounce is 1.5 - 0 = 1.5 feet

The total distance the ball traveled vertically is: 6 + 3 + 1.5 + 1.5 = 12 feet

Hence, the ball traveled a total of 12 feet vertically when it hit the ground for the fourth time.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ7

please help i rly need help ​

Answers

Answer:

A. is uniform

B. is skewd to the left

C. is skewd to the right

and D. is symmetrical

Step-by-step explanation:

Need a little help :,)

Answers

Answer:

A  a.  25 minutes

Step-by-step explanation:

Let x = time in minutes.

Aquarium I contains y water at time x.

y = 4.6 + 1.2x

Aquarium II contains y water at time x,

y = 54.6 - 0.8x

We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.

4.6 + 1.2x = 54.6 - 0.8x

Subtract 4.6 from both sides.

Add 0.8x to both sides.

2x = 50

Divide both sides by 2.

x = 25

A school has 320 girls and 250 boys.
The probability that a girl is left-handed is 0.2
The probability that a boy is left-handed is 0.1
Estimate the number of left-handed students in the school.​

Answers

320 girls x 0.2 lh probability = 64 lhg
250 boys x 0.1 lh probability = 25 lhb
Total is the sum of the two 64+25 = 89

What is the solution to this inequality?
I need help ASAP

Answers

Answer:

b option

x<-4 is the correct answer

Joaquin was putting numbers on a number line. Which number is NOT placed correctly on the number line?

A.27/2
B.42
c.18 ¾
D.21.1

PLS I NEED HELP​

Answers

Answer:

C

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

area is 192

Step-by-step explanation:

yw

number 9 help, please

Answers

Answer:

Unique

Step-by-step explanation:

ill mark brainliest, question is attached

Answers

Answer:

-3

Step-by-step explanation:

-9u+9u is 0 so all you are left with is -3

Answer:

-3

Step-by-step explanation:

-9u + 9u - 3

-9u and 9u cancel out, so it simplifies to -3

What is the decimal equivalent of 7/8​

Answers

Answer:

0.875

Step-by-step explanation:

to convert the fraction 7/8 to decimal

therefore 7 divided 8 = 0.875

Answer: 0.875

Steps:
7 divided by 8 = 0.875
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