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?

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

Answer:

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

Answer:

hey friend ....

hope it helped you..

Answer:

$300

Step-by-step explanation:

Sales x .05 commission = $15

sales=$15/.05

sales = 300

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)

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:

Answer:

the answer is in the photo

Step-by-step explanation:

Answer:

23*1, -23*-1

its prime sorry bestie

it's a prime equation sorry

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

Answer:

2nd option

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

hope it helps

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

Answer:

wdym by that what question actually

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

Answer:

Step-by-step explanation:

1 2/8 feet of snow

Answer:

n - 5  = 8

Step-by-step explanation:

5 less than a number = a number subtracted by 5

Answer:

5.18÷5=1.036 so round up to 1.04

Step-by-step explanation:

work is shown and pictured.

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

Answer:

4.88

Step-by-step explanation:

sinA=opposite/adjacent

sin24=x/12

12(0.40673664307)=x

x=4.88083971691

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

Answer:

50 species every day

Step-by-step explanation:

Answer:

-1 is the remainder

hope it helps

Answer:

-1 is the remainder for this problem.

Step-by-step explanation:

Plato.

A) 4.2025

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

Answer:

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

so, 8 laps

please mark it brainliest

Answer:

-4

Step-by-step explanation:

1. Substitute the x values and y values

2(-7) -5(-2)

-14 +10

-4

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:

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. :)

Answer:

4 is the answer =)

Answer:

3x+3

Step-by-step explanation:

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

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?? :)