The school play is selling tickets for their annual fall play. Adult tickets cost $7 each and
children’s tickets cost $4 each. The theatre holds 100 seats and the play is sold out! If $592 were made off of ticket sales, how many of each kind of ticket were sold

Answers

Answer 1

Answer:

64 adult tickets were sold and 36 children tickets were sold

Step-by-step explanation:

i created two equations. 7A + 4C = 592 and A + C = 100. A stands for adult tickets and C stands for children tickets. in order to find the value of C, the children tickets, i took the second equation, A + C = 100, and subtracted A on both sides to get C = -A + 100. i then plugged the value of c into the first equation i created. i then got 7A + 4(-A+100) = 592. after that, i distributed the 4 into the parentheses and got 7A - 4A + 400 = 592. from there, you solve and get 3A = 192. divide 3 from both sides, and get the value of A = 64. then, you go back to the second equation, A + C = 100, and plug in your value of A to get 64 + C = 100. you can then go on to solve for C and get 36. your final answer is 64 adult tickets and 36 children tickets were sold.


Related Questions

A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?

s - 10

2s + 10

s + 10

2s - 10

Answers

Answer:

a

Step-by-step explanation:

let the third side and second side be x and s respectively

a/c to question,

X = s - 10

what is the distance between piont S (3 -2) and point T (-5, -2)​

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

A total of 402 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

134 adult tickets were sold adt tye school play.

Step-by-step explanation:

total tickets = adult + student tickets

total tickets= (2×adult tickets)+adult tickets

total tickets = 3× adult tickets.

402=3×adult tickets.

402÷3=adult tickets

134=adult tickets

Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.
Please help.

Answers

Answer:

Total stamps = 240

ratio= 3:8

3x + 8x = 240

11x = 240

x = 240/11 = 21.8

then, callum's stamps = 3x = 3 * 21.8 = 65.4

Isabel's stamps = 8x = 8 * 21.8 = 174.4

After buying the stamps,

ratio = 3:2

callum's stamps = 3x

Isabel's stamps = 2x

= 3x + 2x = 240

5 x = 240

x = 240/5 = 48

callum's stamps = 3x = 3 * 48 = 144

Isabel's stamps = 2x = 2 * 48 = 96

no. if stamps bought by calling = 144 - 65.4 = 78.6 stamps

hope it helps you

simplify: -7 - 8

Change 1 6/7 to a decimal round to the nearest tenth.

Answers

Answer:

-15

1.9

Step-by-step explanation:

-7 - 8 = -15

1 and 6/7 = 1.857142857142857142857142.....

about 1.9

Find the area of the figure above.

Answers

Answer:

84

Step-by-step explanation:

You do problems like these by finding the area of each shape individually and then adding them together. I first found the area of the rectangle by multiplying 6 in. by 11 in. to get 66 in.^2. I then found the area of the triangle by multiplying length of the base of the triangle which is the same as the short side of the rectangle at 6 in. by the 6 in. height and dividing it by 1/2. This gets 18 and 66+18=84

What inequality is shown by the​ graph? algebra 1

Answers

we are working on the same thing lolll

How do I do these? ​

Answers

Answer:

bro I ain't got no idea try googling it man

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The correct statements about given synthetic division are C, D, and F

What is a quadratic polynomial?

"It is a polynomial with degree 2."

What is synthetic division?

"It is defined as a way of dividing one polynomial by another polynomial of first degree."

For given question,

We have been given a quadratic polynomial [tex]F(x)=4x^{2} -17x-15[/tex]

We can factorize above quadratic polynomial as,

[tex]F(x)\\=4x^{2} -17x-15\\=4x^{2} -20x+3x-15\\=4x(x-5)+3(x-5)\\=(x-5)(4x+3)[/tex]

This means the factors of [tex]4x^{2} -17x-15[/tex] are (x - 5) (4x + 3)

And the roots of the polynomial would be,

[tex]\Rightarrow F(x)=0\\\Rightarrow 4x^{2} -17x-15=0\\\Rightarrow (x-5)(4x+3)=0\\\Rightarrow x-5=0~~,~~4x+3=0\\\Rightarrow x=5~~,~~x=-\frac{3}{4}[/tex]

This means, the roots of [tex]4x^{2} -17x-15[/tex] are 5 and [tex]\frac{-3}{4}[/tex]

Therefore, the correct statements about given synthetic division are C, D, and F

Learn more about polynomial here:
https://brainly.com/question/11536910

#SPJ2

A store is selling sweaters for 65% of the original price (or 35% off). If the original price of the sweater is $56.00, what is the sale price of the sweater?

Answers

Answer:

36.40

Step-by-step explanation:

Make a proportion : 35/100 = x/56. 35 times 56= 19.6. 56-19.6= 36.4

Hope this helps!

Answer:

The sales price is $36.40

thanos has 15 donuts. he cuts those into fifths. then he cut those fifths into halves. then he cut those halves into thirds. how much pieces does thanos have?

Answers

Answer:450

Step-by-step explanation:

Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a
C, and 2 earned a D on the last science test. If she randomly surveys one more student from
the class, what is the experimental probability that the student would have earned an A on
the test?
Done
My Progress >

Answers

Answer:

2/5

Step-by-step explanation:

In order to find the probabability, you first need to find your total. So:

A, B, C, D,

8+ 6 + 4 + 2 =

20

Since, 20 is out toal it goes in our denominator

Now since we artrying to find the probability of A then we count the number of students who an A and place that in our denominator

8/20

We simplify

2/5

Answer:

2/5

Step-by-step explanation:

Here is a list of numbers:
6, 16, 6, 18, 16, 3, 8 ,9 ,6
State the median.

Answers

Answer:

8

Step-by-step explanation:

You have to list the numbers in the correct order then fond the one that falls in the middle, if there are 2 numbers that fall in the middle, then you add those 2 then divide by 2.

Hope it helps! Merry Christmas!

Answer:

8

Step-by-step explanation:

Arrange the set of numbers from least to greatest:

3,6,6,6,8,9,16,16,18

Start from both ends and cross them off until you're left with just one.

6,6,6,8,9,16,16

6,6,8,9,16

6,8,9

8

The median is 8 because that's what you're left with.

5. Solve for x.
6. Solve for
(9x - 16)
I
(3.1 + 11)
(7x - 5)
ments
X =
7 Find m

Answers

Answer:

12*56-56+11=12

Step-by-step explanation:

12 for 56

graph y=3/4x-4 pls helppppppp.......,,,,,,,,,,.,,,,,

Answers

Step-by-step explanation:

Plug in y=3/4x-4 into desmos :)

plug in y= 3/4x-4 into an app called Calcualtor X. you can get it on your phone

Write the equation:
Jerry has a new job and earns a salary of $45, 000. Victoria has a
new job and earns a salary of $54,000. Jerry will receive a salary
increase of $2,500 per year and Victoria will receive a salary increase
of $1,500 per year.

Answers

How much is more is Jerry’s salary than Victoria’s salary after 3 years?

It’s a pretty simple question

Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?

Answers

Answer:

Graph shown below

Step-by-step explanation:

Cubic Root Graph

The graph of the function

[tex]f(x)=\sqrt[3]{x}-4[/tex]

Is shown in the attached image. Some points are calculated below:

We'll take x={-8,-1,0,1,8}:

[tex]f(-8)=\sqrt[3]{-8}-4=-2-4=-6[/tex]

Point (-8,-6)

[tex]f(-1)=\sqrt[3]{-1}-1=-1-4=-5[/tex]

Point (-1,-5)

[tex]f(0)=\sqrt[3]{0}-4=0-4=-4[/tex]

Point (0,-4)

[tex]f(1)=\sqrt[3]{1}-1=1-4=-3[/tex]

Point (1,-3)

[tex]f(8)=\sqrt[3]{8}-1=2-4=-2[/tex]

Point (8,-2)

The graph of [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below and this can be sketched by substituting the values of x in the function f(x) and then plotting the points on the graph.

Given :

[tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]

The following steps can be used in order to determine the graph of the given function f(x):

Step 1 - Determine the value of f(x) at the values of x = {-8,-4,0,4,8}.

Step 2 - At (x = -8) the value of f(x) is given by:

[tex]\rm f(x) = \sqrt[3]{-8} - 4[/tex]

[tex]\rm f(x) = -2 - 4 = -6[/tex]

Step 3 - At (x = -4) the value of f(x) is given by:

[tex]\rm f(x) = \sqrt[3]{-4} - 4[/tex]

f(x) = -5.6

Step 4 - At (x = 0) the value of f(x) is given by:

[tex]\rm f(x) = \sqrt[3]{0} - 4[/tex]

f(x) = -4

Step 5 - At (x = 4) the value of f(x) is given by:

[tex]\rm f(x) = \sqrt[3]{4} - 4[/tex]

f(x) = -2.4

Step 6 - At (x = 8) the value of f(x) is given by:

[tex]\rm f(x) = \sqrt[3]{8} - 4[/tex]

f(x) = -2

Step 7 - Now, plot the points obtained in the above steps on the graph in order to draw the graph of the given function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]

The of the function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below.

For more information, refer to the link given below:

https://brainly.com/question/4700926

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

7.61577

Step-by-step explanation:

Find the probability that when a hand of 7 cards are drawn from the well-shuffled deck of 52 cards, it contains

(i) all kings (ii) 3 kings



Answers

Answer:

(i) 0/7

(ii) 3/7

Step-by-step explanation:

In a deck of 52 playing cards, there are 13 cards of each clubs, spades, diamonds, and hearts. From those 13 cards, each group has 1 King, Queen, Jack respectively.

No.of total outcomes = 7

(i) In the entire 52 cards, there will be 4 Kings.

The probability of getting 4 kings in 7 cards can be 4/7.

But since there are only 4 kings (4<7), the probability of getting all kings in 7 cards would be 0/7.

The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p?

Answers

Answer:

A

Step-by-step explanation:

sorry for being late

good luck m8s

Please help me ASAP!!! and please explain it because I do not understand how to do this at all.

Answers

Answer:

The 3 one

Step-by-step explanation:

So first you need to find all the angles.

Triangles all have a total degree of 180.

Then you can start doing trig. To find c I did (4sqrt3)cos60 that equals 3.464 which is 2sqrt3. Then I figured out a by doing the same thing but with sine. (4sqrt3)sin60 and that equals 6. Then I moved to the other triangle. I figured out d next. 6tan45° and that equals 6. Then I did b by doing 6/cos45 and I got 6sqrt2

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes

Answers

Answer:

C

Step-by-step explanation:

10/4=2.5

2.5x38=95

95 minutes= 1 hour 35 minutes

For each situation below, complete the table for the values given and the unit rate.
A. 2 bottles of water cost $5.00.
Number of bottles
Cost($)
Cost per bottle
2
5
4
7
6
9
8
11

Answers

Answer:

2 = 5

5 = 12.50

4 = 10

7 = 17.50

6 = 15

9 = 22.50

11 = 27.50

Step-by-step explanation:

a

A major arc will have a measure that is
A. less than 180°
B. equal to 180°
C. greater than 180°​

Answers

I think it’s C. Greater than 180 I’m not sure though don’t get mad if I’m wrong

9514 1404 393

Answer:

  C.  greater than 180°

Step-by-step explanation:

Arcs are classified as "major" or "minor" depending on whether they are more or less than half a circle. A major arc is more than half a circle so is greater than 180°.

SOLVING SYSTEMS:
I just need the work for each equation.

Answers

S. 2x - 6 = x + 8
+ 6 + 6
2x = x + 14
-x -x
x = 14

y = (14) + 8
y = 22

(14 , 22)

I. 2x - 5y = 16
-2x + 20y = -16
15y = 0
/15 /15
y = 0

x - 10(0) = 8
x = 8

(8 , 0)

F. 10x + 6y = -4
2x - 6y = -8
12x = -12
/12 /12
x = -1

2(-1) - 6y = -8
-2 - 6y = -8
+2 +2
-6y = -6
/-6 /-6
y = 1

(-1 , 1)

N. 24x - 3y = 15
2x + 3y = 11
26x = 26
/26 /26
x = 1

2(1) + 3y = 11
2 + 3y = 11
-2 -2
3y = 9
/3 /3
y = 3

(1 , 3)

T. 3x - 2y = -2
6x + 2y = 2
9x = 0
/9 /9
x = 0

-3(0) + 2y = 2
2y = 2
/2 /2
y = 1

(0 , 1)

O. -8x - 4y = 6
5x + 4y = -3
3x = -3
/3 /3
x = -1

-4(-1) - 2y = 3
4 - 2y = 3
-4 -4
-2y = -1
/-2 /-2
y = 1/2

(-1 , 1/2)

I. 8x - 9 = -2x - 4
+2x +2x
10x - 9 = -4
+9 +9
10x = 5
/10 /10
x = 1/2

y = -2(1/2) - 4
y = -1 - 4
y = -5

(1/2 , -5)

D. -6x - 4 = -3x + 5
+3x +3x
-3x - 4 = 5
+4 +4
-3x = 9
/-3 /-3
x = -3

y= -3(-3) + 5
y = 9 + 5
y = 14

(-3 , 14)

S. -9 = -3x - 3y
8 = 4x + 3y
-1 = x

3 = -1 + y
+1 +1
4 = y

(-1 , 4)

R. -5x - 5y = 25
5x - 4y = 2
-9y = 27
/-9 /-9
y = 3

-x - (-3) = 5
-x + 3 = 5
-3 -3
-x = 2
/-1 /-1
x = -2

(-2 , -3)

A. 8y + 3 = 3x
- 3 - 3
8y = 3x - 3
-3x -3x
-3x + 8y = -3
-3x + 8y = -3

Same equation = infinite solutions

K. 8x - 6y = -4
3x + 6y = 4
11x = 0
/11 /11
x = 0

4(0) - 3y = -2
-3y = -2
/-3 /-3
y = 2/3

(0 , 2/3)

T. -5x - 8y = 0
12x + 8y = 56
7x = 56
/7 /7
x = 8

3(8) + 2y = 14
24 + 2y = 14
-24 -24
2y = -10
/2 /2
y = -5

(8 , -5)

Solve for x: 10(x + 1) = 2x - 7

Answers

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

Answer: x=-17/8


First, distribute the 10

10x + 10 = 2x - 7

Next, move the x-values to one side

8x = -17

Now, isolate the x by dividing both sides by 8

x = -17/8

Please answer this
if you do ill give you my only fans for free ​

Answers

Answer:

first what do you look like???,

Answer:

Forget the account but I think it's A

Step-by-step explanation:

because if you take the number of how long the side lengths are (4.8in) then you times it by how many sides there are on the cube (12 side) and that is 57.6in

No positive but I think so

Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer:

I think it would be 4 not sure

HELP PLEASE REEEEEEEEEEEE!! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.


72 is what percent of 480? Write and solve an equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

480 = 100%

72  =   ?       you can find it doing  (72(100))/480

72(100)= 7200      

7200/480= 15    

the answer is 15%

have a nice day :)

which equation is modeled

Answers

Answer:

The answer is B

Step-by-step explanation:

4x (green, left)

-2 (red, left)

=

2x (red, right)

6 (orange, right)

Hope that helps

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