Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The manager at a community pool is looking over receipts. On a certain Monday, the pool had
16 children and 42 adults, which brought in $142. That same week on Tuesday, 24 children
and 26 adults came to the pool, which brought in $102. What are the admission prices for
children and adults?

Answers

Answer 1

Answer:  Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations.  Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

Rearrange the second equation to isolate one of the variables.  I'll pick C:

24C + 26A = $102

C  = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3  [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1   [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

---

Monday:   16*(1) + 42*(3)  = $142   ?   YES

Tuesday:  24*(1) + 26*(3) = $102   ?    YES

Child is $1 and Adult is $3, per person.


Related Questions

Need to review this problem for finals help pls

Answers

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21


Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286

Answers

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

42 is what percentage of 120?

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

To get more about the percentage visit:

https://brainly.com/question/24304697

Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98

Answers

C) 88

Explanation: trust me

Answer:

B.68

Step-by-step explanation:

divide using polynomial long division

if a line has slope -2/3 and passes through point (-3,7) what is the y intercept

Answers

Answer:  The y-intercept is 5.

Step-by-step explanation:

We can write what we know in the form of a slope intercept equation,

y=mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope:

y = -(2/3)x + b

We need a value of b that forces the line through the point (-3,7).  Enter the point and solve for b:

y = -(2/3)x + b

7 = -(2/3)*(-3) + b  for  (-3,7)

7 = 2 + b

b = 5

The equation becomes y = -(2/3)x + 5

The y-intercept is 5.

See attachment.

-424 +122-72+2

Jason tried to find an expression equivalent to the rational expression

by using

202+1

polynomial long division. His work is shown below.

- 2x + 7x

2x + 1) - 4x4 + 12x3 - 7x + 2

-(-4x4 - 2x2)

14x - 7x + 2

- (14x3 + 7x)

-14x + 2


Jason concluded that -202 + 7+ +

-142+2

was equivalent to the rational expression. Jason's

2x+1

conclusion is incorrect.

O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2

He made a mistake by multiplying 2x² + 1 by 2x2

O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2

O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1

+

Need help understanding this ?

Answers

Answer:

The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem.  The sum of what was written is -372.  There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.

Step-by-step explanation:

What does "by using

202+1

polynomial long division."  mean??

do the numbers after the x's represent exponents?

e.g.:  "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"

reasking the answer for this one, solve for x please and thank you. click on file ​

Answers

Answer:

44

Step-by-step explanation:

A circle is 360 degrees.

145 +136 + 35= 316

360-316= 44

44 Degrees

The answer is 44° . Hope this helps!!!

3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.

Answers

Answer:

0.75 And 75%

Step-by-step explanation:

If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4

Lucy bought a desk on sale for $883. This price was 15% less than the original price.

Answers

the answer to the question is 898$

If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?

Answers

8.35x1.4= $11.69 So the ticket price for movie A in its first week would be $11.69

Hope this helped :)

In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?

_______% of the people surveyed were satisfied with the car. (Type a whole number

Answers

Answer:

30%

Step-by-step explanation:

[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]

Answer:

30%

Step-by-step explanation:

given

Total:3400

satisfied people:1020

we know that,

percent of satisfied:3400/1020x100%

=30%

Write an equation of a line which has a slope of -2 and goes through the point (-4,11)

Answers

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8

Answers

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

the answer is 268435456

here is the next question jj

Answers

Answer:

3.7 and east.

Step-by-step explanation:

Answer:

3.7 and east

Hope this helps! Good luck!! :)

Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?

Answers

$65 of 30% discount
$65-$19.50=$45.50
The sale price would be $45.50

Which statement is necessarily true if is an altitude to the hypotenuse of right ?

Answers

Step-by-step explanation:

it's b

i relly don't know cause theres no image

A town’s population increased from 25200 to 26460. Find the percent of increase.

Answers

Answer:

5%

Step-by-step explanation:

Based on the given conditions, formulate: (26460-25200)÷25200

Calculate the sum or difference: 1260/25200

Cross out the common factor: 1/20

Multiply a number to both the numerator and the denominator: 1/20 * 5/5

Write as a single fraction: 5/20*5

Calculate the product or quotient: 5/100

Rewrite a fraction with denominator equals 100 to a percentage: 5%

It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?

Answers

Answer:

5 spoons

Step-by-step explanation:

2 1/2 +2 1/2=5

so the answer would be: it takes 5 spoons to make a gallon of chocolate milk

please help me if you can​

Answers

A) 100 degrees (congruent angle)
B) 45 degrees (congruent angle)
C) 90 degrees (right angle)
D) 99 degrees (congruent angle)
E) 30 degrees (congruent angle)
F) 30 degrees (180-150=30, that is to find the other angle that is congruent to f)

A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?

Answers

720/5= 144, it will take 144 days for 5 people to finish the project.

75+45+x/69=180
solve for x please :)

Answers

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

I need help with this question

Answers

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ2

Find 110% of 80 by writing the percent as a fraction

Answers

Answer:

[tex]\frac{80}{100}[/tex] i think its 80 or 88

Step-by-step explanation:

so sorry if this is wrong

Answer:

88

Step-by-step explanation:

x / 80 = 110 / 100

Cross multiply

80 * 110 = 100x

8800 = 100x

Divide both sides by 100

88 = x

Hello, thanks for the fast reply! I was trying to make sense of the following equation:

Answers

Answer:

[tex]15\sqrt{3}[/tex] inches

Step-by-step explanation:

[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]

[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]

[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]

[tex]15\sqrt{3}[/tex] inches

Hope this helps!

The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.

Answers

Answer:

2nd option

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

g(x) = f(x + 4)

Is the graph of f(x) shifted 4 units to the left

Find the value of x in the triangle shown below.

Answers

Answer:

u did a lot of this budy a lot of these

Step-by-step explanation:

My I please have some help
Simplify (89^6 x 91^3)^0

1
(89^6 x 91^3)
0
(89^7 x 91^4)

Answers

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

The graph shows a proportional relationship. Which equation matches the
graph?

A. y = 1/7 x
B. y = 14x
c. y = 7x
D.y = x

Answers

Answer:

The answer is C.

Just trust me.

How do you write 750% as a fraction or mixed number

Answers

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

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