Suppose there are two types of tickets to a show: advance and same-day. Advance tickets cost $25, and same-day tickets cost $20. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1450. How many tickets of each type were sold?
The number of Advance tickets sold:
The number of same-day tickets sold:

Answers

Answer 1

By solving a system of equations we will see that they sold 35 advanced tickets and 30 same-day ones.

How to find the number of each ticket sold?

Let's define the variables we will be using for this problem, these are:

x = number of same advance tickets.

y = number of same-day tickets.

With the given information we can write a system of equations:

x*$25 + y*$20 =  $1,450

x + y = 65

To solve the system we can isolate x on the second equation:

x = 65 - y

Now let's replace that in the other equation:

(65 - y)*$25 + y*$20 =  $1,450

$1,625 - y*$5 =  $1,450

$1,625 - $1,450 = $5*y

$175/$5 = y

35 = y

Then the value of x is:

x = 65 - 35 = 30

So they sold 35 advanced tickets and 30 same-day ones.

Learn more about systems of equations:

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Related Questions

What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers​

Answers

Answer:

perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)

Step-by-step explanation:

Or use the formula P = 4a = 4(3) = 12 (cm)

Round 12,628 to nearest 1,000

Answers

Answer:

13000

Step-by-step explanation:

it's closer to 13000 than to 12000

Answer:

13000

Step-by-step explanation:

12628 >>>13000

Me:

This is easy like what grade are you in?

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Answers

Answer:

It is 47.5 or 47 1/2

Step-by-step explanation:

The formula for volume of a prism is base x height.

The base is the area of the rectangle at the bottom. The area of a rectangle is, of course, length times width, so 2.5 x 4=10.

So, the base is 10.

Now, the second part of the formula is height.

The height is 4.75.

Now, do the formula: Base x height : 10 x4.75

The answer is 47.5.

Don't report me lol. I promise it is correct.

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

17. An equation is shown.
3x7=+7
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A 3
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C. 21
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Answers

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WILL MARK BRAINLYEST


A street sign is 8 feet tall and casts a shadow that is 28 feet long. At the same time, a nearby tree casts a shadow that is 210 feet long. How tall is the tree?

A.60
B.70
C.80
D.90

Answers

The answer is 60



Explanation: The shadows are 3.5 times bigger than the original height so you divide 210 by 3.5 and you get 60. I hope this helped.

Need the answer for x and y

Answers

Answer:

See below

Step-by-step explanation:

There is no 'y' in your question but I will answer the Q in the pic:

  the two sides are equal    so

10x-1 = 8x+11

2x = 12

x = 6                 then CD = 8x+11 = 8(6)+ 11 = 59  units

The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?

Answers

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

help plese i beg of you

Answers

9514 1404 393

Answer:

k = 45 . . . miles per hourk = 1/45 . . . hours per mile

Step-by-step explanation:

One way we can relate distance and time is ...

  time = k × distance

Then the value of k (the constant of proportionality) is ...

  k = time/distance = 4 hours/(180 miles)

  k = (1/45) hours/mile

__

Another way we can relate the variables is ...

  distance = k × time

Then the value of k (the constant of proportionality) is ...

  k = distance/time = (180 miles)/(4 hours)

  k = 45 miles/hour

for the following problems do at least one problem using unit form and at least one problem using fraction form 3.2 x 1.4=

Answers

the one above me was correct just did it^^

In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
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0.23
Have basketball shoes
No basketball shoes
Total
No running shoes
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0.32
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B. 54%
O C. 46%
O D. 63%

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The quadratic equation y = –6x2 + 100x – 180 models the store’s daily profit, y, for selling soccer balls at x dollars.
The quadratic equation y = –4x2 + 80x – 150 models the store’s daily profit, y, for selling footballs at x dollars. Use a graphing calculator to find the intersection point(s) of the graphs, and explain what they mean in the context of the problem.

Answers

Answer:

The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. you can subtract 150 from both sides and use the quadratic formula to find x=4. It can make at most 120 units in one day. 3 1. Backward Bending Supply Curve.

HELP PLEASEEEE!!! SOMEONE HELP ME FOR ONCE, NO ONE IS ANSWERING MY QUESTIONS AND IM SO FREAKING STRESSED OUT. OH MY GOD SOMEONE PLS IM BEGGING YOU EXPLAIN YOUR ANSWER STEP BY STEP FOR ONCE

In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.
a) 112,000 members
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c) 151,000 members
d) 127,000 members

Answers

Answer:

I have come to the conclusion that it is A. 112,000

Answer:

d) 127,000 members

Step-by-step explanation:

In this problem we have an exponential function of the form

where  a is the initial value

b is the base

The base is equal to  b=1+r

r is the average rate

In this problem we have  a=23,000 members

r=5%=5/100=0.05

b=1+0.05=1.05

substitute

x ----> is the number of years since 1985

How many members will there be in 2020?

x=2020-1985=35 years

substitute in the function

Round to the nearest thousand

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Answers

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A minute- hand of a clock is 16 in long. Find the distance traveled by the tip of the minute - hand in one hour.

Answers

Answer: 16/2=8
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Help asap
Find the value of x. Round to the
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3
4
X =
= [?]

Answers

Answer:

36.9°

Step-by-step explanation:

→ Identify the triangle required by seeing which side is not given

Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent

→ Substitute values in

Tan⁻¹ =  ( 3 ÷ 4 )

→ Simplify

36.9°

Find the slope of the line that passes through the given points.

Answers

Answer: -1/6

Step-by-step explanation:

slope= change of y over change of x

3-4/ 5--1=

-1/6

Hope this helps!

Answer:

-1/6

Step-by-step explanation:

(-1, 4) and (5, 3)

y2 - y1 / x2 - x1

y2 = 3

y1 = 4

x2 = 5

x1 = -1

(3 - 4) / (5 - -1)

-1 / 6

slope = -1/6

243 to the 1/5 power​

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Answer:

-3

Step-by-step explanation:

Hopes this helps:

Answer: 3

How I know I use this app called Cymath.

PLZ needed now plz URGENT!

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Answer:

Realtionship B

Step-by-step explanation:

Relationship A doesn't pass the line test


The graph of f (x) = (x - 2)² + 1 is shown below. What would the new equation of the function be if it is shifted up 2 units?

Answers

Answer:

f (x) = (x - 2)² + 3

Step-by-step explanation:

Adding 2 to the constant k would shift the entire equation upwards by 2.

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Answers

Answer:

3441

Step-by-step explanation:

PLS HOPE THIS HELP

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please step my step

Answers

Answer:

Look Below

Step-by-step explanation:

6(5 - 8N) + 12 = -54

-48N + 30 + 12 = -54

-48N + 42 = -54

(-48N + 42) + (-42) = -54 + (-42)

-48N = -96

-48N / 48 = N

-96 / 48 = 2

N = 2

Hope This Helps! If you find any fault in my answer please let me know. Thanks! Have a good day!

Apr 08, 12:51:17 AM
Brittney wants to buy grapes and apples to bring to a party. Grapes cost $1.60
per pound and apples cost $1.75 per pound. If she only has $10 to spend on
grapes and apples, which inequality represents the situation where she buys x
pounds of grapes and y pounds of apples?
1.60x + 1.75y < 10
1.60x + 1.75y > 10
Submit Answer
1.75x + 1.60y < 10
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Type here to search
O
12:5
4/8/

Answers

Answer: did you get a answer yet?

Step-by-step explanation:

Find the surface area of the rectangular prism (above) using its net (below).

Correct answer will receive a cookie and branilist

Answers

Answer:

62

Step-by-step explanation:

15+15+10+10+6+6= 62

Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?

Answers

I’m pretty sure that would be $112

Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
-8
Og+3
8
9+3
-8+g
3
+3

Answers

Answer:

[tex]\dfrac{-8}{x+3}[/tex]

Step-by-step explanation:

We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".

Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.

So, we can write it as follows :

[tex]\dfrac{-8}{x+3}[/tex]

Hence, this is the required solution.

Need the answer for x and y

Answers

Answer:

x = 7°

y = 10°

Step-by-step explanation:

7x = 49

x = 7°

180 = 13y + 1 + 49

combine like terms:

13y = 130

y = 10°

Answer:

X equals to 7 & y equals to 10 'cause ;

7X=49

X=7

50 + 13 y + 1 = 180

13y = 130

y=10

Step-by-step explanation:

Good luck.

hope it was helpful for u .

90:(3+6)-20.(60-55) propiedad

Answers

Answer:

https://www.commoncoresheets.com/Math/Properties/Applying%20Properties%20of%20Operations/Spanish/2.pdf

Step-by-step explanation:

This will help you:) not a spam link its a pdf that brings you straight to the worksheet <3

5, 4, 16/5 find the 7th term

Answers

Answer:

a₇ = [tex] \frac{4096}{3125} [/tex]

PLEASE HELP!!!!!!!!!! BRAINLIEST
Add the following fractions. Simplify and reduce to the lowest terms.

9/16 + 3/16

Answers

Answer:

3/4

Step-by-step explanation:

12/16

divided by 4

3/4

Answer: /34

Step-by-step explanation:

 9/16 + 3/16

=(9+3)/16 ⇔ Fractions with the same denominator can subtract or add

=12/16 ⇔ Simplify

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Please let me know if you have any questions

What is the y-intercept for this function?
y = x2 - 2x - 3

Answers

Answer:

-3

Step-by-step explanation:

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