Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning​

Answers

Answer 1

Answer:

Part A: 84, 105

Part B: $315

Step-by-step explanation:

Part A:

4 student tickets + 5 adult ticekts = 9 tickets

The ratio of student tickets to adult tickets to total tickets is

4 : 5 : 9

He sold x times more tickets than the numbers on the ratio.

He sold 9x tickets.

9x = 189

x = 21

Student tickets:

4x = 4(21) = 84

He sold 84 student tickets.

Adult tickets:

5x = 5(21) = 105

He sold 105 adult tickets.

Part B:

Student tickets:

He sold 84 student tickets at $5 each.

The amount of money from the sale of student tickets is:

84 * $5 = $420

Adult tickets:

He sold 105 adult tickets at $7 each.

The amount of money from the sale of adult tickets is:

105 * $7 = $735

Difference:

$735 - $420 = $315

Answer 2

84 student tickets, 105 adult tickets were sold by Jin and $315  more money does Jin receive from selling adult tickets than from selling student tickets

What is Equation?

Two or more expressions with an Equal sign is called as Equation

The ratio of student tickets to adult tickets sold is 4 : 5

4 student tickets + 5 adult ticekts = 189

4x+5x=189

9x = 189

Divide both sides by 9

x = 21

The number of Student tickets:

4x = 4(21) = 84

Jin sold 84 student tickets.

Adult tickets:

5x = 5(21) = 105

Jin sold 105 adult tickets.

Part B:

He sold 84 student tickets at $5 each.

The amount of money from the sale of student tickets is:

84 * $5 = $420

Adult tickets:

He sold 105 adult tickets at $7 each.

The amount of money from the sale of adult tickets is:

105 * $7 = $735

Difference:

$735 - $420 = $315

Hence 84 student tickets, 105 adult tickets were sold by Jin and $315  more money does Jin receive from selling adult tickets than from selling student tickets

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Related Questions

what is the answer for 3/4 + 1/2 =

Answers

Step-by-step explanation:

3/4 + 1/2= 3+2/4= 5/4

Hope it helps you

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

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

[tex]=\frac{3}{4} +\frac{2}{4}[/tex]

[tex]=\frac{3+2}{4}[/tex]

[tex]=\frac{5}{4}[/tex]

Check
What is the slope of the line on the graph?
X
-2
2.
4
-2
-4

Answers

[tex]slope = \frac{1}{2} [/tex]

Hope it helps you...

You and your friends are starting a t-shirt business. The company you buy t-shirts from charges you $3 for each shirt plus a one-time screen print set up fee of $50. After surveying other students, you are going to sell the shirts for 7 each
A. Will your company be successful if you sell 23 shirts
B. Will your company be successful if you sell 10 shirts
C. How many shirts will you need to break even

Answers

Answer:

Part A. Answer: The company will be successful selling 23 shirts.

Part B. Answer: The company will not be successful selling 10 shirts.

Part C. Answer: 13 shirts

Step-by-step explanation:

initial cost: $50

cost per shirt: $3

sale price per shirt: $7

number of shirts: x

The cost, y, of x shirts is

y = 3x + 50

Part A.

cost of 23 shirts

y = 3(23) + 50

y = 119

revenue from selling 23 shirts:

23 * $7 = $161

It costs $119 to make 23 shirts. They are sold for $161.

Part A. Answer: The company will be successful selling 23 shirts.

Part B.

cost of 10 shirts

y = 3(10) + 50

y = 80

revenue from selling 10 shirts:

10 * $7 = $70

It costs $80 to make 10 shirts. They are sold for $70.

Part B. Answer: The company will not be successful selling 10 shirts.

Part C.

To break even, the cost and the revenue must be equal.

Cost of x shirts: 3x + 50

Revenue from selling x shirts: 7x

7x = 3x + 50

4x = 50

x = 12.5

The break even point is 12.5 shirts. Since the number of shirts sold must be a whole number, the break even number is 13.

Part C. Answer: 13 shirts.

can someone tell me if what i selected is right? and if it’s not which one it is? thank you!

Answers

I think you have the correct answer

Answer:

-7x^2 + 5x + 12 AC = -84 factors = 12, -7

-7x^2 - 7x + 12x + 12

-7x (x + 1) + 12 (x + 1)

(-7x + 12) (x + 1)

Q. Find missing angle
a.60
b.36
c.30
d.41
e.49

Answers

Answer:

b or c

Step-by-step explanation:

I really need help do can someone do it step by step so I can understand plzzzz​

Answers

V=12000 sq feet
Forgive me if I’m wrong I’ll redo it if so

Answer:

96×pi ft³

Step-by-step explanation:

by the way, it is totally easy to search for formulas on the internet.

the volume of a cone is

Vc = pi×r²×height/3

we have been given the slant height (10 ft) and the lateral "wall" area of the cone (60×pi ft²).

this wall area is

Aw = pi×r×slant height

60×pi = pi×r×10

60 = r×10

6 = r

so, now we know r fuer the volume formula, and we need the height of the cone (the inner one).

we use Pythagoras

10² = r² + height²

100 = 36 + height²

height² = 64

height = 8 ft

so, now we use the main formula for the volume

Vc = pi×r²×height/3 = pi×6²×8/3 = pi×36×8/3 = pi×12×8 =

= 96×pi ft³

cubic feet ! it is a volume !

Select all of the expressions that are equivalent to
2(2x + y + 3y)


4x + 8y

6x + 7y

4x + 2y + 6y

4x + 4y + 3y

Answers

Answer:

2(2x + y + 3y)

=

4x + 8y

4x + 2y + 6y

i really dont understand plz help

Answers

Answer: I believe it is the 2nd option.

Step-by-step explanation:

I hope I helped , Have a great day or night . Xoxoxo.

Monica has been saving her spare change. So far she has saved 40 coins for a total of $6.25. Some of the coins are quarters (25 cents) and the rest are dimes (10 cents). How many of each coin does she have?

Use elimination to solve.

{q+d=40
{25q+10d=625

Answers

Answer:

10 quarters

40 dimes

Step-by-step explanation:

q + d = 40

25q + 10d = 625

25 > 10

q < d

25(10) = 250

10(40) = 400

$2.50 + $4.00 = $6.00

Answer:

15 quarters and 25 dimes

Step-by-step explanation:

The graph of g(x) shown below has the same shape as the graph f(x)=2^x but it's shifted up 1 unit. What is the equation?

Answers

Answer:

B

Step-by-step explanation:

By adding one to the equation, you are shifting it up one along the y-axis, as the picture depicts.

I hope this helped!

The question is in the image. Please help me.

Answers

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Our center is located at (0, 1), so h = 0 and k = 1. Going from the center straight up of down we have to move 2 units to get to a point on the outside of the circle, so r = 2. Filling in our equation:

[tex](x-0)^2+(y-1)^2=2^2[/tex] which simplifies a bit to

[tex]x^2+(y-1)^2=4[/tex]

Please help if your awake lol ugh it’s a question check the picture :)

Answers

I really hope that helps cause I went all out and best of wishes!!

The given information is the _____ of the if-then statement.

A then
B if
C none of the above

Answers

C is the answer




Because If we use A then it will not make sense same with b so it is c

Manuel, a plumber, has several pieces of pipe on his truck. He has a piece 6 feet long. A piece 7 feet long, one 9 feet long, and a piece 13 feet long. Find the total length of pipe in feet. If he uses 5 feet of pipe on a job, how many feet of pipe are left?

Answers

I believe it is 30 bc it is 35ft of pipe minus 5 ft on a job?

What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.

Answers

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

Answer:

Volume - 452.16 cm

Step-by-step explanation:

First we need to find the area of the circle.

Area of a circle - (3.14)r^2

Insert the radius in the formula -

(3.14) (4)^2

3.14 x 16

50.24 is the area of the circle

Now, we have to multiply this value by the height of the cylinder in order to find the volume.

50.24 x 9 = 452.16 cm

Sochi starts reading at 11 25 AM and ends at 12 09 PM How many minutes does Sochi read? Use the number pad to enter your answer in the box minutes​

Answers

Answer:

Step-by-step explanation:

11.25=11.25 hrs

12.09=12.09 hrs

time=12.09-11.25=44 minutes

Answer:

44 minutes

Step-by-step explanation:

35 minutes from 11:25 AM to 12 pm

9 minutes from 12:00 pm to 12:09 pm

35 + 9 = 44 minutes.

5 p over 7 minus 18 equals -43​

Answers

Answer:

hope it helps .............

Write an equation of the line in slope intercept form given the information below slope=-4 point=(2,-4)

Answers

Answer:

y=-4x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-4(x-2)

y+4=-4(x-2)

y=-4x+8-4

y=-4x+4

A slope of a line is the change in y coordinate with respect to the change in x coordinate. The equation of the line in slope intercept form which is passing through (2,-4) is  -4x +7.

What is the slope of a line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate. The equation of a line in slope intercept form is given by

y = mx + c.

Given the slope of the line, m=-4. Also, the point through which the line is passing,

(x₁ ,y₁) =(2,-4)

Since the equation of the line in the slope-intercept form of the line is given by

y = mx +c

Since, the above line is passing through (2, -4) and the slope is -4.

Therefore,-4 = -4(2) + c⇒ -4 = -8 + c⇒ -1 +8 = c⇒ c = 7

Substitute the value of m and c in the equation

y = mx + c

⇒ y = mx + c

⇒ y = -4x +7

Therefore, the equation of line in slope intercept form which is passing through (2, -4) is y = -4x +7.

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Choose the correct simplification of the expression the quantity 4 times x all over y all to the second power

Answers

Answer:

[tex]( \frac{4x}{y})^{2}[/tex]

Step-by-step explanation:

Which of the following theorems verifies that AHIJE AKLM? H K M ОА. НА O O O B. LA O C. HL O D. AA​

Answers

Answer: Choice A)  HA

===================================

Explanation:

HA = hypotenuse angle

The tickmarks tell us that the hypotenuse IJ is the same length as the hypotenuse LM. So that's the "hypotenuse" portion of "HA".

The "angle" portion refers to the acute angles HIJ and KLM being the same measure, as shown by the curved arc marking. We aren't referring to the right angles because the HA theorem can only be used for right triangles, so that means the right angle is already built into it (and we can ignore the right angles).

Notice how HA is a special case of AAS.

The area of a square piece of land in square units can be represented by the expression 9q^4r^8s^6What is the length
of one side of the piece of land?

Answers

Answer:

I'll setup the problem, you do the calculation

Step-by-step explanation:

given the area of a square, you take the square and that is the side of the square

[tex] \sqrt{9 {q}^{4} {r}^{8} {s}^{6} } [/tex]

the square root of a number that is raised to a power is found by dividing the power by 2

example

[tex] \sqrt{ {x}^{6} } = {x}^{3} [/tex]

do that for each term and you have you answer

comment if you have questions

Find m∠1 and m∠2. Tell which theorem can be used.

Answers

Answer:

1 = 117 ( vertically opposite angles are equal )

2 = 117 ( corresponding angles are always equal )

Step-by-step explanation:

Answer:

angle one=122 because it is using the alternate interior angle theorem

angle 2=58 because it is using the consecutive interior angle theorem

hope this helps

have a good day :)

Step-by-step explanation:

remember consecutive=same sine 122 is on the same side of angle 2 just substract 180-122=58

since 122 is on the opposite side of angle 1 it's going to be alternate something so since it's on the inside its going to be alternate interior angle

a store has 9 blue hats and 7 red hats for sale write the ratio of blue hats to all the hats

Answers

Answer:

9 :  7, or 9/16 to 7/16

Step-by-step explanation:

We know that there are 9 blue hats.

We know there are 7 red hats.

This is a 9 : 7 ratio.

In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:

9+7=denominator

denominator = 16

Blue hats = 9

Ratio of red = 9/16

Red hats = 7

Ratio of red = 7/16

Hope this helps!

Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than Sahil. There were 40 questions on the test. How many answers did Angelina get right on the math test? Which equation represents this situation?


A. a + 7 = 12
B. a + 7 = 28
C. 7 + 12 = a
D. 7 = 40 - a

Answers

Answer:

40-28=12 Sahil got 28 right and 12 wrong

12+7=19 Angelina got 19 wrong and 21 right

40-19= 21

B would be correct

a +7=28

a= 28-7

a=21

please give me both ordered pairs!

Answers

Answer:

(1, 2); (6, 7)

Step-by-step explanation:

Gary was looking for a new cell phone plan. Company A is offering $50 for the phone and $.20 per minute for data usage. How much would Company A’s phone plan cost if Gary spends on average 200 minutes for data?

Answers

Answer:

$90

Step-by-step explanation:

c = 50 + .2m

c = 50 + .2(200)

c = 50 + 40

c = 90

find the measure of side NO. Figures are not drawn to scale.​

Answers

Its being dilated by 3 therefore your answer is 9.9

How many terms dose the polynomial have 2x^9 + 3x^6 - x - 20?

Answers

Answer:

3

Step-by-step explanation:

2x^9 = 1

3x^6 = 2

- x - 20 = 3

The motives for developing calculus in the 1700s were: A. problems in physics. B. problems in biology. C. problems in psychology. D. problems in computer science. E. problems in economics.

Answers

Answer:

the answer is A

Step-by-step explanation:

HELP PLEASE ILL GIVE YOU BRAINLIEST

Answers

Answer:

Equation: 80-25= m

Solution: 80-25= 55

Check: 25+55= 80

Step-by-step explanation:

BigBrain

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