A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
2A + 0.75S = 1,109; A + S = 937
Now use the equations to find the number of
students and adults.
Students = [?]; Adults = []

Answers

Answer 1

Answer:

612 students and 325 adults

Step-by-step explanation:

I'll use substitution for this set of equations. I'll start with 2a + 0.75s = 1,109.

2a + 0.75s = 1,109

Subtract 0.75s from both sides.

2a = -0.75s + 1109

Divide both sides by 2.

a = 1/2(-3/4s + 1109)

Make 1/2(-3/4s + 1109) into a single fraction

a = -3/8s + 1109/2

Substitute -3/8s + 1109/2 for a in the other equation (a + s = 937).

-3/8s + 1109/2 + s = 937

Add -3/8s to s.

5/8s + 1109/2 = 937

Subtract 1109/2 from both sides.

5/8s = 765/2

Multiply both sides by 8/5, the reciprocal of 5/8.

s = 612

Now head back to the original equation, and substitute s for 612.

a = -3/8 * 612 + 1109/2

Multiply -3/8 by 612.

a = (-459 + 1109)/2

Add 1109 to -459 and divide by 2.

a = 650/2

a = 325

The system is solved. There are 612 students and 325 adults.


Related Questions

i literally hate math .

Answers

1/2 the red one
Lsskajn d d

Answer:

Me too.

Step-by-step explanation:

Math its't the greatest. It's 1/2 btw.

A fruit seller has 264 oranges packed in bags, with 8 oranges in each bag. She sells each bag of oranges for $4. How much money does the fruit seller collect if she sells all the bags? Use paper to show your work. Enter your answer in the box. He fruit seller collects $.

Answers

Answer:

264/8 = 33

33 X 4 = 132

$132

The amount fruit seller collects would be equal to $132

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  fruit seller has 264 oranges packed in bags, with 8 oranges in each bag. She sells each bag of oranges for $4.

264/8 = 33

Now for 33 bag of oranges are;

33 X 4 = 132

He fruit seller collects $132

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ5

Kali earned $40 for babysitting for 5 hours. At this rate, how much will she earn for babysitting for 7 hours?

Answers

Answer:

56 dollars

Step-by-step explanation:

So why I did was divided the amount of money by the hours spent to find how much she makes in an hour which was 8 dollars and for 7 hours she would have made 56 dollars

The • means multiple

Answers

yes it does you are correct!

Find the slope. Pls help with 1. and 2. will give brainliest!!

Answers

1 is 5/5 for slope for the second one i’m not sure

Answer:

1. m = 1

2. m = 0

Step-by-step explanation:

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

m = slope

To know the slope you need only 2 points of the line.

1.-

[tex]m = \frac{4 - ( - 1)}{2 - ( - 3)} \\ m = \frac{4 + 1}{2 + 3} \\ m = \frac{5}{5} \\ m = 1[/tex]

2.-

[tex]m = \frac{3 - 3}{2 - 0} \\ m = \frac{0}{2} \\ m = 0[/tex]

answer please !!!!please

Answers

Answer:

it clicked by it self sorry can't help

Step-by-step explanation:

Answer:

y= -5x+8

Step-by-step explanation:

So frstt you gotta know the form

y= mx+b

y= random Y-coordinate (not useful in this situation)

m= slope

x= random X coordinate (not useful in this situation)

b= y-intercept (the first point of the line that hits the y axis)

So first lets find the slope

sure we can use the slope formula between 2 points but I just did rise over run since this is an easy graph

Rise 5 and go Left 1 so the slope is -5/1 or -5 (negative due to the run going left instead of right plus the line is negative since its falling from left to right)

The y intercept is 8 becuase its the first point where the line crosses the Y axis

ANd thats it!

Plug it in

y= -5x+8

factorize I'll mark brainlist plz help me ​

Answers





Answer is shown below

Max put 38,250 miles on his car during the three years that he owned it. At this rate, how many miles would be on his car after 7 years?

Answers

Answer:

89,250 miles

Step-by-step explanation:

you divide 38,250 by 3 to get how many miles he drove a year, then multiply it by 7 for the seven years and you get 89,250 miles in 7 years.

Someone plz help me I will give brainliest plzzzzz

Answers

Answer:

Lemme

Step-by-step explanation:

3 1/2+4 3/4=8 1/4

8 1/4-5 3/8= 3 7/8

The sum of ages of two ship 12years old .Two years ago, the age of the older ship was three times the age of the newer ship. Find the present age of each ship.

Answers

Answer:

the present age of the old ship is 8 years

The present age of the new ship is 4 years

Step-by-step explanation:

Let the age of the older ship be x

Let the age of newer ship be y

If the sum of ages of two ship 12years old, then;

x + y = 12 .... 1

Two years ago;

Older ship age = x - 2

New ship age = y - 2

If two years ago, the age of the older ship was three times the age of the newer ship, then;

x - 2 = 3(y-2)

x-2 = 3y - 6

x = 3y - 4 ....2

Substitute equation 2 into 1;

From 1; x+ y = 12

3y-4+y = 12

4y = 12 + 4

4y = 16

y = 4

Since x+y = 12

x = 12-y

x= 12-4

x = 8

Hence the present age of the old ship is 8 years

The present age of the new ship is 4 years

help me plzzzzzzzzzzzz​

Answers

Answer:

The answer to the question provided is 45.

Step-by-step explanation:

You add by ten.

The amount of time I seen this question-

1. Find the perimeter.
13 yd
14 yd
7 yd
18 yd

Answers

Answer:

52 yards

Step-by-step explanation:

Perimeter is all sides added together.

13 + 14 + 7 + 18 = 52

The answer is 52! :)

HELP HELP HELP POINTS GIVEN POINTS GIVEN

Answers

Answer: Answer is 3

Step-by-step explanation:

It’s 3


I just know it is

PLEASE HELP I NEED A GENIUS TO ANSWER THIS!!

Answers

89 Step-by-step explanation: 12+-3 = 6

Answer: 5,120

Step-by-step explanation:

Your equation is:

v(t) = 320 • 4^t

You are trying to find v(2) so:

t = 2

Plug in 2 for t:

v(2) = 320 • 4²

Solve:

v(2) = 5,120 views

Hope this helps! :)

HELP I NEED A SUPER FAST ANSWER
Which is a graph of y=3z - 1?

Answers

Answer:

bottom left

Step-by-step explanation:

Somebody pleaseeeee help me ill give u brainiest!! the circled question in black

Answers

Answer:

The answer is the first option (0,7), (-1,6), (2,0)

I hope this helps you

f(x) = (x + 2)(x - 4)
in standerd form

Answers

87

Step-by-step explanation:

Greg planned for his company to make $ 25,000 this month . Instead, they made $18,000 . Calculate the variance .

Answers

Answer:

72%

Step-by-step explanation:

18,000 / 25,000 = 72% variance. In other words, they made 72% less than they had projected.

Answer:

The answer is $7,000

Step-by-step explanation:

did it on acellus

Robin is filling her salt shaker from a cylindrical container that is full of salt. Her salt shaker in the shape of a cone has a diameter of 2.2 inches and a height of 6.3 inches as shown below. The cylindrical container has a height of 7 inches and a diameter of 5.6 inches. How many times can Robin completely refill her salt shaker? A. less than 1 time B. 3 times C. 21 times D. 50 times PLS ANSWER QUICK

Answers

Answer:

i think A

Step-by-step explanation:

Answer: A

Step-by-step explanation: none needed

Someone help me please

Answers

I think the answer is y= 2

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Not 100 percent sure but if you gotta go with one it would be even

Please solve this and send a picture really urgent !!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  3) ? = 21

  4) ? = 6

Step-by-step explanation:

3) The given ratio is ...

  A : B = 2 : 7

You want to find ? such that ...

  2 : 7 = 6 : ?

The ratio is equivalent when both numbers are multiplied by the same value.

From your knowledge of multiplication tables, you know that 2×3 = 6. then 7×3 = ? = 21.

__

4) For this one, you need to recognize that the given number corresponds to B.

  A : B = 2 : 3

  2 : 3 = ? : 9

Again, you know that 3×3 = 9, so 3×2 = ? = 6.

Solve for x 3 x − 8 = 6 x − 2

Answers

Answer:

x = -2

Step-by-step explanation:

3x - 8  = 6x - 2

Isolate x.

3x = 6x - 2 + 8

3x - 6x = 6

-3x = 6

x = 6 ÷ -3

x = -2

Please mark me Brainliest :)

Question 2
Indicate the answer choice that best completes the statement or answers the question
Find.x

Answers

Answer:

C. 6√55

Step-by-step explanation:

The triangle given is an isosceles triangle that is divided into two equal parts by a segment.

Thus, we can apply pythagorean theorem to find x.

x = 2 × √(24² - 9²)

x = 2 × √495

x = 2 × √(9 × 55)

x = 2 × 3√55

x = 6√55

NEED HELP ASAP
If 2/3 of a class has brown hair, and 1/5 of the students with brown hair have blue eyes, what portion of the class has brown hair with blue eyes?

Answers

Answer: 2/15

Step-by-step explanation:

1/5 of 2/3 means you multiply 2/3 by 1/5:

2/3 x  1/5 = 2/15

2/15 of the class has brown hair with blue eyes

2/3 x 1/5 = 2/15

2/15 of the class has brown hair with blue eyes.

Consider the function f(x) = x^2 - 6x + 5

a. What are the x-intercepts of the function?

b. Does the function have a line of symmetry? if so, what is it?

c. Does the function have a maximum or minimum value? Explain how you know without graphing.​

Answers

Answer:

Step-by-step explanation:

a.  the question can be factored as (x-5)(x-1) so the 2 x intercepts are 5 and 1

b. yes the function has a line of symmetry every parabola does and it is at  when x is 3

x. the function has a minimum value because the equation has x^2  which is 1x^2 1 is a positive meaning that the function opens upward which means it has a minimum value

Answer:

A)

(1, 0) and (5, 0)

B)

Yes.

The equation is x = 3.

C)

Yes.

In this case, we have a minimum.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^2-6x+5[/tex]

Since the highest degree is two, we can immediately determine this to be a quadratic.

A)

The x-intercepts of a function are whenever the function equates to 0. Hence:

[tex]0=x^2-6x+5[/tex]

We can factor:

[tex](x-1)(x-5)=0[/tex]

Zero Product Property:

[tex]x-1=0\text{ or } x-5=0[/tex]

Solving yields:

[tex]x=1 \text{ and } x=5[/tex]

So, our x-intercepts are at (1, 0) and (5, 0).

B)

Since this is a quadratic, it indeed has a line of symmetry.

Recall that the line of symmetry for a quadratic equivalent to the x-coordinate of the vertex.

In the given function, a = 1, b = -6, and c= 5.

Hence, the x-coordinate of the vertex is:

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(-6)}{2(1)}=\frac{6}{2}=3[/tex]

So, the line of symmetry is x = 3.

C)

Every parabola has a minimum/maximum value.

This depends on the sign of the leading coefficient.

If the leading coefficient is positive, then we have a minimum since our parabola will be curving upwards.

And if the leading coefficient is negative, then we have a maximum since our parabola will be curving downwards.

Since our leading coefficient here is 1, hence positive, we have a minimum value.

can someone help plzzzzzzzzzzzzzzzzz ill give extra brain lets

Answers

Answer:

It's A

Step-by-step explanation:

Use the app Socratic, it gives you the answer and an explanation

Jay made 3 out of 12 attempted baskets in the game. What percentage of the shots did he NOT make?

Answers

Answer:

he didn't make 75% of the baskets he shot

Help please!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

First you need to figure out what they multiplied 6 by to get 60, to do that reverse the operation to make it 60÷6=10. Then you multiply the 10 by the 2 to get 20.

Answer:
q= 20
If need step by step please message me! And yes this is the right answer!

Solve for x:
17 - 4x = 33

Answers

Answer:

solve for X

17-4x=33

-4x=33-17

-4x=16

-4x/-4=16/-4

x=-4

Step-by-step explanation:

1. move the constant (17) to the right side

2. subtract the numbers on the right side (33-17)

3. Divide both sides of the equation by -4 (/4)

4. write the answer x= -4

Solved.

Answer:

x = − 4

Step-by-step explanation:

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