The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?

Answers

Answer 1

Answer:

197 adult tickets and 354 child tickets were sold for the event.

Step-by-step explanation:

Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:

22 - 14 = 8

551 x 14 = 7.714

9,290 - 7,714 = 1,576

1,576 / 8 = 197

551 - 197 = 354

197 x 22 + 354 x 14 = X

4.334 + 4.956 = X

Therefore, 197 adult tickets and 354 child tickets were sold for the event.


Related Questions

Which of these sums is greater than 1?

A. 12+23
B. 13+18
C. 14+25
D. 15+110

Answers

Answer:

b

Step-by-step explanation:

I just know it's greater than 1

Answer:

all of them

Step-by-step explanation:

12 + 23 = 35

35 is greater than 1

13 + 18 = 31

31 is greater than 1

14 + 25 =39

39 is greater than 1

15 + 110 = 125

125 is greater than 1

can someone pls help me​

Answers

Answer:

2nd option

Step-by-step explanation:

Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3

Answers

Answer:

n - 5  = 8

Step-by-step explanation:

5 less than a number = a number subtracted by 5

A 5-pack of baseball caps costs $5.18. What is the unit price?

Answers

Answer:

5.18÷5=1.036 so round up to 1.04

Step-by-step explanation:

work is shown and pictured.

A study finds that the number of gallons of water used each month per household in a
residential neighborhood are normally distributed with a mean of 470 gallons and a
standard deviation of 50 gallons. A household is randomly selected. What is the
probability that the household uses 480 gallons of water or less per month?

Answers

Answer:

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 470 gallons and standard deviation of 50 gallons.

This means that [tex]\mu = 470, \sigma = 50[/tex]

What is the probability that the household uses 480 gallons of water or less per month?

This is the pvalue of Z when X = 480. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{480 - 470}{50}[/tex]

[tex]Z = 0.2[/tex]

[tex]Z = 0.2[/tex] has a pvalue of 0.5793

0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month

18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )

Answers

Answer:

50 species every day

Step-by-step explanation:


Billy invites 11 friends to his house for a meal.
He decides to make apple pie.
Billy has this list of ingredients.
Apple pie
serves 4 people
750 g apples
25 g caster sugar
150 g plain flour
50 g butter
75 g brown sugar
Billy has 2500 g of apples.
(a) Does he have enough apples to make apple pie for 12
people?
Show a check of your working.
(4)

Answers

Answer:

the answer is in the photo

Step-by-step explanation:

a sale girl receive a 5% commission on all she self. how much she has to sell to receive $15​

Answers

Answer:

$300

Step-by-step explanation:

Sales x .05 commission = $15

sales=$15/.05

sales = 300

£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?

Answers

Answer:

Amount June get = £45

Step-by-step explanation:

Given:

Total amount divided = £150

Amount Nick get = 2 x Amount June get

Amount June get = 3 x Amount Sushil get

Find:

Amount divided between Nick June and Sushil

Computation:

Assume;

Amount Sushil get = a

Amount June get = 3 x Amount Sushil get

Amount June get = 3a

Amount Nick get = 2 x Amount June get

Amount Nick get = 2 x 3a

Amount Nick get = 6a

Amount Sushil get + Amount June get + Amount Nick get = Total amount

So,

a + 3a + 6a = 150

10a = 150

a = 15

So,

Amount Sushil get = £15

Amount June get = 3a

Amount June get = 3 x 15

Amount June get = £45

Amount Nick get = 6a

Amount Nick get = 6 x 15

Amount Nick get = £90

find the first two expressions in the sequence _, _ , 4x+5, 5x+7, 6x+9, 7x+11, 8x+13

Answers

Answer:

3x+3

Step-by-step explanation:

notice how the first numbers are on order and the second ones skip count by odd numbers

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).

Answers

Answer:

-1 is the remainder

hope it helps

Answer:

-1 is the remainder for this problem.

Step-by-step explanation:

Plato.

on January 17 2014 snow fell for 3 3/4 hours in Amarillo Texas if it snowed a total of 3 feet how much snow fell per hour?

Answers

Answer:

Step-by-step explanation:

1 2/8 feet of snow

Joe ran 12 laps around the field to run a total of 1 km on Sunday. How many laps will he need to run on Monday to run 4/6 of a km?

Answers

Answer:

[tex]4 \div 6 \times 12 = 4 \times 2 \\ \\ 4 \times 2 = 8[/tex]

so, 8 laps

please mark it brainliest

A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.
Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.
NO LINKS

Answers

Answer:

Part A. The absolute error is 0.2

Part B. The percent error is 1.45

Step-by-step explanation:

Hope this helps! :)

P.S I can tell that you have experience with the bots who ask you to go press a link. :)

Pls help extra points

Answers

Answer:

4

Step-by-step explanation:

hope it helps

Help me plssss NO LINKS PLSSSSSSS

Answers

Answer:

perimeter- 36 in.

area- 77 [tex]in^2[/tex]

Step-by-step explanation:

to find the perimeter you add all of the sides, so

7 + 7 + 11 + 11 = 36

*** the opposite side of the 7 is also 7, same with the 11 :)

to find the area for a rectangle, you use the formula A=b*h

so, the base(b)=7 and the height(h)= 11

therefore, 7 * 11 = 77

I hope this helps!! :) if it does, brainliest?? :)

Is 5.094 greater or less than 5.904​

Answers

Answer:

Less

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094

3. Find the slope of the line through the pair of points.
(12, 2), (-7,5)

Answers

Answer:

-3/19

Step-by-step explanation:

Given data

We have the coordinates

(12, 2), (-7,5)

x1=12

y1=2

x2=-7

y2=5

The expression for the slope is given as

Slope= y2-y1/x2-x1

Substiute

Slope=  5-2/-7-12

Slope= 3/-19

Hence the slope is -3/19

there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw​

Answers

Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.

You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.

If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.

Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.

5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe

7

Related Questions (More Answers Below)

Step-by-step explanation:

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?

Answers

Answer:

(5.240 ; 8.760)

Step-by-step explanation:

Given :

Sample mean, xbar = 7

Standard deviation, s = 2.29

Sample size, n = 9

95% confidence interval for the population mean :

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 0.05 ; df = 8 = 2.306

Margin of Error = 2.306 * 2.29/sqrt(9)

Margin of Error = 1.760

Lower boundary = (7 - 1.760) = 5.240

Upper boundary = (7 + 1.760) = 8.760

(5.240 ; 8.760)

Please help!! I’ll give branliest!!!

Answers

Answer:

4.88

Step-by-step explanation:

sinA=opposite/adjacent

sin24=x/12

12(0.40673664307)=x

x=4.88083971691

multipaction equation that will help find the number 23

Answers

Answer:

23*1, -23*-1

its prime sorry bestie

it's a prime equation sorry

the product of (y + 2) and (y - 2) if y=7

Answers

The answer is 45

Hope its a correct one

Find the area of the circle. Leave your answer in terms of
4.1.
A) 4.2025
B) 8.405
C) 16.81
D) 11.2​

Answers

A) 4.2025

Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi

It’s a hope this helps

Please fill in this for 20 points and brainlist <3333

Answers

Answer:

1. [tex]750(0.041) = $30.75[/tex]

2. [tex]90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\[/tex]   65%

3. [tex]13(1.06) = 13.78[/tex]

Please remember to brainlist this answer

Answer:

give them brainliest

Step-by-step explanation:

Can somebody please help me?
2+2

Answers

Answer:

4 is the answer =)

Solve for x.
16x - 5 = 18x - 2
Ox=1 1/ 2
OX=-3 1/2
O x=-1 1/2
Ox=3 1/2
Please help
Will give brainly

Answers

Answer:

[tex]x = - 3 \frac{1}{2} [/tex]

Answer:

hey friend ....

hope it helped you..


A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the circular flower bed.

Answers

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

Evaluate: 2x-5y for x=-7 and y=-2

Answers

Answer:

-4

Step-by-step explanation:

1. Substitute the x values and y values

2(-7) -5(-2)

-14 +10

-4

(NO LINKS)Please help I’m begging it been two days I keep sending questions all I been getting is links that hack your device so please help it my last questions the other ones I did by myself!!!

Answers

Answer:

wdym by that what question actually

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