A theater, the admission price for children is $4 and the admission price for adults is $8. The total amount the theater collects in admissions for the day is $1848. The total number of visitors is 283. Let be the number of children and let y be the number of adults. Which system represents the situation?

Answers

Answer 1

Answer:

[tex]4x+8y= 1848\\\\x+y= 283[/tex]

Step-by-step explanation:

Step one:

The admission price for children is $4

The admission price for adults is $8

Let be the number of children and

let y be the number of adults.

The total amount the theater collects in admissions for the day is $1848.

4x+8y= 1848-----------1

The total number of visitors is 283.

x+y= 283----------------2

Step two:

the system of equation for the situation is

4x+8y= 1848

x+y= 283


Related Questions

What is -12.25 / (1.4)?
A. -13.65
B. -8.75
C. 8.75
D. 13.65

Answers

Answer:-8.75

Step-by-step explanation:

Answer:

C. -8.75

Step-by-step explanation:

Ultimately, you are dividing a negative number by a positive number which makes the answer negative.  The only way the answer can be positive if it's dividing by two negatives or two positives.  You can also assume that since the divider is greater than 1, it is usually less than the first number for this statement which makes your answer -8.75.

What is the x intercept for 6x - 7y = 42

Answers

Answer:

(7,0)

Step-by-step explanation:

Answer:

x = 7 (7,0)

Step-by-step explanation:

6x - 7y = 42

cancel out the y

6x -7 (0) = 42

6x = 42

divide both sides by 6

x = 7

Hope this helps!!!

The father is three times as old as his son, Joe. Joe is four years older than his sister, Alexa. Alexa is twice as old as Rocky. Let R equal Rocky's age. Write an algebraic expression. Please Help!

Answers

Answer:

R=(F/3-4)/2

Step-by-step explanation:

Father = F

Joe = J

Alexa = A

R= Rocky

F=3J

A+4=J

A=2R

F/3=J

A=J-4

A=F/3-4

2R=F/3-4

R=(F/3-4)/2

Hope this helps!

Dhdgxgxgxg g g gg gxxgdgd

Answers

Answer:

B

Step-by-step explanation:

4:6 = 2:3

2:3 = 2:3

8:12 = 2:3

4:5 = 4:4

EXPLAIN THIS FORMULA PLS HELP ME ​

Answers

it means

wdwedwefqwerf

use the order of operations to simplify 43/5 + 15 / 5 - 1/5.

Answers

answer: 57/5 or 11 2/5

Since all of the denominators are the same, we don’t need to change anything. First is addition, so when we add 43/5 + 15/5, we get 58/5. Then we subtract 58/5 - 1/5, and we get 57/5 as the final answer.

Number 2 (algebra 2)

Answers

Answer:

Should I answer all the questions or just the second one

Answer:

B. Quintic

Step-by-step explanation:

The degree of the polynomial is the highest exponent in the polynomial. In this case it's 5, which means that its a quintic function

HELPPPPPPPPPPPP PLSSSSSS

Answers

Answer:

(x, y) → (x + 8, y - 3)

Step-by-step explanation:

To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.

Let's say we take the point D (0, -1).

(-1, 0) → (7, -3)

Change in x = 7-(-1)

                    = 7 + 1

                    = 8

Change in y = -3-0

                    = -3

Thus, the change is (x + 8, y - 3)

Racquel works 4 hours a week at the senior center on the weekends.
She gets paid $10.75 an hour. How much money will Raquel have
earned over the course of 3 weeks?

Answers

Answer:

$129

Step-by-step explanation:

First, we'll figure out how much Racquel earns per week by multiplying how much she gets per hour by the number of hours she works per week. We can solve 4x10.75 to find out how much money Racquel earns per week. We can solve that to find out that she earns $43 per week. Then, we can multiply that by 3 to find out how much she earns in 3 weeks. Once we solve 43x3 we will end up with an answer of $129 over the course of 3 weeks.

(hope this helped)

A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.

Answers

Answer:

16

Step-by-step explanation:

its an ocosilse triangle cause of the 1 apat distance so 16 is the anser

Answer:

the 3rd angel is 120

the two exterior angels can be, 60 and 152

Step-by-step explanation:

the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.

the exterior angel is gained by adding two nonadjacent angles or the remote angels.

c/-5=17


pls help asap!!​

Answers

Answer:

c=-85

Step-by-step explanation:

17*-5=c

17*-5=-85

does this ratio form a proportion? show ur work, please!

Answers

AnswerStep-by-step explanation:

[tex] \frac{5}{12} = \frac{170}{} [/tex]

[tex] \frac{5}{12} = \frac{5 \times 34}{12 times 34} [/tex]

Simplify

[tex] \frac{5 \times 34}{12 times 34} = \frac{5}{12} [/tex]

Therefore, the ratio from the relation of the information is proportional.

Can anyone give me a few reasons why school cafeteria food is bad

Answers

Answer:

the food is always bad

Step-by-step explanation:

and second they give you like not that much to eat anyways.

HELPPP PLEASE AAAAAAAAAAAAAAAAA

Answers

Answer:

The second option: 4 1/2 x = 22 1/2

Step-by-step explanation:

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Answer:

Answer:

The second option: 4 1/2 x = 22 1/2

The whole volume is 22 1/2 so that is on one side of the equals sign but it must be by itself. Then the formula for volume is length x width x height.

so 22 1/2 = l x w x h

Two of these numbers are given. You multiply 3 x 1 1/2 to get 4 1/2 times the unknown value of x

Step-by-step explanation:

please someone help me

Answers

Answer:

56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

got it from person above me have nice day

6X - 2 + 5x + 7 *
what’s the answer?

Answers

Answer:

x=2.2

Step-by-step explanation:

6X - 2 + 5x + 7

add like terms

11x+5

divide 5 on both sides

x=2.2

Hope this helps dont 4get to like and star

-mercury

Answer:

11x+5

Step-by-step explanation:

6X - 2 + 5x + 7

Group like terms=6x+5x-2+7

Add similar elements=11x-2+7

Add Subtract the numbers=11x+5

pls help me i need to do all my math for to day and i dont know how to do it

-11x(x+12)

Answers

Answer:

If you want to simplify, -11[tex]x^{2}[/tex]-132x

Step-by-step explanation:

Find the slope of the line that passes through (4, 2) and (1, 6).

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 2)

Point (1, 6)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{6-2}{1-4}[/tex]Subtract:                       [tex]m=\frac{4}{-3}[/tex]Rewrite:                        [tex]m=\frac{-4}{3}[/tex]

9. Find the missing Angle, show your
work

Answers

Answer:

30 degrees

Step-by-step explanation:

Since a triangle's angle measures add up to 180, you need to set up an equation to find the missing side.

130+20+? = 180

150+?=180

180 minus 150 is 30 so the missing side is 30 degrees

Answer:

30 degrees

Step-by-step explanation:

All three angles in a triangle always add up to be 180 degrees.

Add 20 and 130 to get 150. Then, subtract 150 from 180 to get 30 degrees.

...........................

Answers

12.72 is the answer
Hope this helps

How many solutions does the equation 5x + 10 = 5x − 8 have

Answers

no solution because both of the 5x cancel out so 10=-8 which doesn’t make sense so no solution

A store at the mall was closing. Everything in the store was 75% off. If you
wanted to buy a $200 jacket, how much did it actually cost you? *

Answers

Answer:

the original price would be $800

Step-by-step explanation:

800-75% = 200

just use a calculator

The jacket was originally $800 :)

Mr. Yasger pays $174 every 4 months for guitar lessons. At this rate, how much will he pay for 3 years of guitar lessons? (Hint: How many months are in a year?)

Answers

There are 12 months in a year so if he pays every 4 months, he pays 3 times a year or $522 in total for a year (174 x 3 = 522). If he has pays that for three years it would be $1,566 (522 x 3).

The following equation is an example of a literal equation.
2(z + a) = 46
A Solve the glven equation for the variable a. In your final answer, Include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.

Answers

Answer:

a)

[tex]a=23-z[/tex]

b)

First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.

Step-by-step explanation:

a) Solving the equation

Given the expression

[tex]2\left(z+a\right)=46[/tex]

Divide both sides by 2

[tex]\frac{2\left(z+a\right)}{2}=\frac{46}{2}[/tex]

simplify

[tex]z+a=23[/tex]

subtract z from both sides

[tex]z+a-z=23-z[/tex]

[tex]a=23-z[/tex]

Thus, the value of a:

[tex]a=23-z[/tex]

b) Work Process

First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.

A suitcase marked at $40 was sold at $32. What was the percentage of discount for the suitcase?

Answers

Answer:

Step-by-step explanation:

32/40

=0.8

so it's 20% off since it's a decay.

Dance club has a $20 start up fee and a $5 monthly fee

M=

B=

Y=

Answers

9514 1404 393

Answer:

  y = 5x +20

Step-by-step explanation:

We assume you want the total cost (y) of x months of membership at the dance club.

This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).

  y = 5x +20

Comparing this to the slope-intercept form of the equation of a line, we see ...

  y = mx + b

  m = 5

  b = 20

find the common ratio and explicit formula for 2, 3, 4.5, 6.75,

Answers

Step-by-step explanation:

r=3/2=(4.5)/3=3/2

it is geometric, so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=2 , r=3/2    

So  explicit formula:

a(n)=2*(3/2)^(n-1)

hope this helps

Answer: B

Step-by-step explanation:

on edge warm-up

At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza?

Answers

Answer:

There were 5 toppings on his pizza.

Step-by-step explanation:

From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:

c=17.50+2.35x, where:

c is the total cost

x is the number of toppings

Now, you can replace the total cost with $29.25 and solve for x:

29.25=17.50+2.35x

29.25-17.50=2.35x

11.75=2.35x

x=11.75/2.35

x=5

According to this, the answer is that there were 5 toppings on his pizza.

HELP NOW PLEASEEE
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week. (2 points)


No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

I’m pretty sure the answer is option c!!

Convert - 3. - 3. - 3 to exponential form. ​

Answers

Answer:

-3 {3}

Step-by-step explanation:

:D

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