For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 80 tickets are sold for a total of $525, how many of the tickets were adult tickets and how many were sold to kids under 12?

They sold ___ adult tickets and _____ kids tickets.

Answers

Answer 1

Answer:

They sold 30 adult tickets and 50 kids tickets.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of adult tickets sold

y is the number of kids tickets sold.

80 tickets are sold

This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.

This means that:

[tex]7.5x + 6y = 525[/tex]

Since [tex]x = 80 - y[/tex]

[tex]7.5(80 - y) + 6y = 525[/tex]

[tex]600 - 7.5y + 6y = 525[/tex]

[tex]1.5y = 75[/tex]

[tex]y = \frac{75}{1.5} = 50[/tex]

[tex]x = 80 - y = 80 - 50 = 30[/tex]

They sold 30 adult tickets and 50 kids tickets.


Related Questions

help mee please adadad

Answers

Answer:

I'm not sure if it is the correct answer but I believe it is 14

Answer:

14 i think

Step-by-step explanation:

Find the greatest common factor of 6c^3 and 10c^4

Answers

Answer:

2c^3

Step-by-step explanation:

The greatest common divisor of 6 and 10 are 2

The factors that are common to 6c^3, 10c^4 would be 2ccc

Simplify that and you have 2c^3

Suppose {an) is an arithmetic sequence with a16=12 and a7=30. Find a9.

Answers

Answer:

a9 = 26

Step-by-step explanation:

nth term of an arithmetic sequence an = a + (n-1)d

a16 = a+15d = 12.... 1

a7 = a+6d = 30.....2

Subtract

15d - 6d = 12 - 30

9d = -18

d =-18/9

d = -2

Substitute d = -2 into 1

a + 15d = 12

a+15(-2) = 12

a - 30 = 12

a = 12 + 30

a = 42

Get a9;

a9 = a+8d

a9 = 42+8(-2)

a9 = 42 - 16

a9 = 26

hence the 9th term of the sequence is 26

How many ways can three people be selected from a group of seven people if order
DOES matter?

Answers

Answer:

210 ways

Step-by-step explanation:

The is a permution problem.

Formula for permutations of r things taken from n things is

[tex]P(n,r) = \frac{n!}{(n - r)!}[/tex]

[tex]\frac{7!}{(7 - 3)!} = \frac{7!}{4!} = 7*6*5 = 210[/tex] ways

HELP ASP!!!! PLS?!!!!! #15

Answers

Answer:

you need the farmula lol lol lol lol lol lol lol

Step-by-step explanation:

What the volume? help

Answers

Answer:

7 yd^3

Step-by-step explanation:

The Volume is:

V=a*b*c

a=7*(1/3) yd

b=3*(1/3) yd

c=9*(1/3) yd

So, V=7 yd^3

Find the Volume of a sphere if the radius is 3 inches. Leave your answer in terms of π

Answers

Answer:

The answer is 9.42 inches

Helpppppp pleaseeeeeeee

Answers

Answer:

16 2/3

Step-by-step explanation:

Which are dependent events?
A. rolling two number cubes
B. tossing the same coin two times
C. spinning a spinner and rolling a number cube
D. taking two marbles from a box without replacing the first marble

Answers

Answer:

D. taking two marbles from a box without replacing the first marble are  dependent events

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hope it helps

have a great day!!

it’s D, taking two marbles from a box

I need help figuring this out, thank you! :)

Answers

Answer: 8

Step-by-step explanation:

5*6/2=15120/15=8

On a standardized exam, the scores are normally distributed with a mean of 200 and
a standard deviation of 50. Find the Z-score of a person who scored 140 on the exam.

Answers

Answer:

First, compute the z-score:

 

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

 

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

For the given data the value of the z score will be 1.5

What is the standard deviation?

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

Learn more about the standard deviation here:

brainly.com/question/12402189

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1. Find the derivative of f(x), at x = 10
f(x) = - 5x² + 13x

Answers

Answer:

-10x+13

Step-by-step explanation:

Im not 100% sure but i tried!

Please find the surface area

Answers

Answer:

so 3ft x 5ft would be 15ft for the top one or if its addition it would be 8ft

Step-by-step explanation:

Answer I need it please

Answers

Answer:

the answer is A

Step-by-step explanation:

Can someone please help me I will mark u brilliant

Answers

Answer:

The answer is 11

Step-by-step explanation:

The answer is eleven

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
O A. (f+ g)(x) = -x + 3
O B. (f+ g)(x) = x - 7
O c. (f+ g)(x) = -7x-3
O D. (f+ g)(x) = 7x - 7

Answers

Answer:

B

Step-by-step explanation:

you are just combining like terms since you are adding the equations together

(-3x-5) + (4x-2)

-3x + 4x = x

-5 + -2 = -7

so altogether

x -7

Teagan was playing Trouble and recorded the number
of times she rolled a 6. During the game, she was
successful 5 times out of the 25 times she tried.
What was the experimental probability of rolling a 6 in
the game? Write your answer in decimal form.

Answers

Answer:

20%

Step-by-step explanation:

Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.

Scott wants to ride his all terrain vehicle on a trail that is 30 miles long. If Scott rides at a constant rate of 15 mph, how long will it take him to ride the whole trail?
A. 2 hr.
B. 3 hr.
C. 5 hr.
D. 8 hr.

Answers

Answer:

3hr

Step-by-step explanation:

Answer:

2 hrs.

Step-by-step explanation:

30 miles of 15 mph.

(of means divided)

30 divided by 15 = 2 (hrs)

Solve 5 tanx=523 for ° SXS 180°.
60°
b. 150°
a.
30°
N
Please select the best answer from the choices provided

Answers

Answer:

x = 1

Step-by-step explanation:

523 x = 523                                                                                                                Divide each term in  523 x = 523  by  523 . 523 x 523 = 523  523

Cancel the common factor of  523 .

Tap for more steps... x = 523  523

Divide   523   by  523 . x = 1                                                                                               May I please have a Brainliest please rate this too and like!  

A triangle has an area of 144 square feet. The height is 24 feet. What is the length of the base(in feet)?​

Answers

Answer:

Base = 12

Step-by-step explanation:

Because

24 x 12 = 288 divide by 2 and you get are area 144

The formula for the area is: base multiply with the height then divide by two (h.b/2)
So we have: h.b/2=Area
24.b/2=144
24.b=144.2
24.b=288
b=288/24= 12
So the base is 12

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number of each denomination. What are the four denominations, and how many of each does she have?​

Answers

Solution #1:
If Janice has pennies, nickels, dimes, and quarters. Using trial and error, I found the following results:
1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41
2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82
3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23
4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64
5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05
6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Solution #2:
If we let x = the number of coins, then we can set up the equation
0.01x + 0.05x + 0.10x + 0.25x = 2.46 combine like terms
0.41x = 2.46 divide both sides of the equation by 0.41
x = 6

This confirms that Janice has 6 coins of each denomination including pennies, nickels, dimes and quarters.

The number of the same coin that she has will be 6.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.

If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:

1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41

2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82

3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23

4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64

5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05

6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Let x be the number of coins. Then we can set up the equation will be

0.01x + 0.05x + 0.10x + 0.25x = 2.46

0.41x = 2.46

x = 6

The number of the same coin that she has will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

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1/2 x 288 = ???????
What is the answer?

Answers

Answer:144

Step-by-step explanation:

Use a calculator

or 1/2 x 288 =  288/2 = 144

Answer: 144

Step-by-step explanation:

I'm assuming that the "x" in this statement is a multiplication symbol.

Multiplying any number by 1/2 or 0.5 is the same thing as dividing it by 2.

Therfore the answer is 288/2 which is 144.

A snake at the zoo is 4 feet long. A scale model of the snake is 2 inches long. What is the scale factor?

Answers

1/24 4 feet = 48 inches. 48 divided by 2 = 24. Therefore 48 divided by 1/24 = 2

A pizza delivery chain advertises that it will deliver your pizza in 30 minutes from when the order is placed. Being a skeptic, you decide to test and see if the mean delivery time is actually more than 30 minutes. For the simple random sample of 9 customers who record the amount of time it takes for each of their pizzas to be delivered, the mean is 35.4 minutes with a standard deviation of 7.6 minutes. Assume that the population distribution is approximately normal.

Required:
a. Perform a hypothesis test using a 0.05 level of significance.
b. State the null and alternative hypotheses for the test.

Answers

Answer: B

Step-by-step explanation: So that you know you are only getting the best for what YOU PAID for.

Anna and her friends are making their own puzzles by drawing and painting on pieces of cardboard Anna cuts her puzzle so that there are 12 rows and 15 columns how many pieces are in Anna's puzzle​

Answers

Answer:

180, because you'd do 12 x 15

2. If it costs $0.12 Per Cubic inch
for the Juice, What is the Cost for the
original Container ?

Answers

what was the original container?

7th grade math

The sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p

Answers

Answer:

B

Step-by-step explanation:

You add tax to the price not multiply

Answer:1.065p

Step-by-step explanation:

If p and q vary inversely and p is 8 when q is 8, determine q when p is equal to 16.

Answers

Answer:

25

Step-by-step explanation:

i smarte

Evaluate: Show your work
Find the value of the variable.
34+5x=64

PLEASE HELP ME. I could really use your help.

Answers

subtract 34 from 64 and then divide it by 5.

Given that 2x + 3 > 9, the range of values of x is

Answers

Answer:

x>3

Step-by-step explanation:

2x+3>9

2x>6

x>3

So all values of x must be greater than 3 in order for the inequality to be true.

X>3 from the equation giving thats the answer
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