Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is
$55
. For one performance,
40
advance tickets and
25
same-day tickets were sold. The total amount paid for the tickets was
$1900
. What was the price of each kind of ticket?

Answers

Answer 1
This is the entire problem:
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Set up a set of 2 equations in 2 variables -
Let x = advance ticket cost and y = same-day tickets cost
Then
x+y=40 and
25x+30y=1075 >>>>> 5x+6y=215
x=40-y, so
5(40-y)+6y=215
200-5y+6y=215
y=15 >>>> x=25

5(25) + 6(15) = 125+90 = 215

Related Questions

A sample of 5 integers selected is shown. Does this sample represent the general rule for picking an integer from 1 to 25 in the population of integers from 1 to 1,000? Explain.

Answers

Answer:

No

Step-by-step explanation:

The general rule for picking sample from a population at random ensures that all members of the population have equal chances of being selected.

Therefore to select 5 samples in the range 1 - 25 from a population of integers from 1 - 1000.

Firstly, befure we start selecting our samples directly from the population since we are not interested in all integers, we seperatw the integers belonging to our target samples from the population first, the we select 5 samples out of the sepwratwd integers between 1 - 25. This ensures that all our 5 samples will have integers between 1 - 25 becausw integers 1 - 25 is the range we want our specs to be within and not between 1 - 100.

However, from the trial samples recorded none of the samples have integer between 1 - 25 ; jnecw, the samples must have been chosen directly from the entire population of 1 - 1000

Please help I urgently need it, I’ll give brainliest to whoever answers and 20 points!

Answers

Answer:

92.3

Step-by-step explanation:

Home to gas station: (0,0) to (6,2) = 6.3

Gas station to friends house: (6,2) to (4,-7) = 9.2

Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7

Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1

Ice cream to park: (-8,2) to (7,7) = 15.8

Park to friends house: (7,7) to (4,-7) = 14.3

Friends house to grocery store: (4,-7) to (-4,8) = 17

Grocery store to home: (-4,8) to (0,0) = 8.9

Add them together =

Can y’all help me on question 19?!

Answers

Answer:

Its D

Step-by-step explanation:

That is D
Just my multiplying the 2 five times and since it asks you in exponential form you do 2^5 so D will be you’re answer

ASAP HW HELP
if you don’t know answer don’t even comment

Answers

Answer:

y=1/4x-3

Step-by-step explanation:

In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 17% have inadequate calcium intake. For those who are 11 to 13 years of age, 54% have inadequate calcium intake. Use Bayes's rule to find the probability that a child from this population who has inadequate intake is 11 to 13 years old.

Answers

Answer:

0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Inadequate intake

Event B: Is 11 to 13 years old.

48% are 11 to 13 years of age.

This means that [tex]P(B) = 0.48[/tex]

For those who are 11 to 13 years of age, 54% have inadequate calcium intake.

This means that [tex]P(A|B) = 0.54[/tex]

Probability of inadequate calcium intake:

0.17 of 0.52(5 to 10 years old)

0.54 of 0.48(11 to 13 years old). So

[tex]P(A) = 0.17*0.52 + 0.54*0.48 = 0.3476[/tex]

Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.48*0.54}{0.3476} = 0.7457[/tex]

0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.

the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid​

Answers

Hi! the answer is 2+[8x1296] because you break the 28 and the 1296 stays the same

Work out the difference between 77.5 and 2.27.

Answers

Answer:

75.23 is the answer for 77.5-2.27

Can someone give me the answer and explain it to me? Pls, I’ll mark brainiest.

Answers

Answer is 28%

you need to find the percentage of the store's profit. So the store has 10 jeans = $ 180. That means each jeans cost 18, but it sells for 24.30. So you find the profit percentage

Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years

Answers

Answer:

$7402.50 I think

Step-by-step explanation:

3.5(5)= 17.5 percent

175/1000* 6300= 17.5*63= 1102.5

6300+ 1102.5=  7402.5

if my answer helps please mark as brainliest.

Find the area of the shaded region

Answers

I think it could be b

Answer:

A

Step-by-step explanation:

8-6=2

6×2=12

12×2=24

Put your answer in cm^2

Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Simplify (-9p+7)-(-9p+3)

Answers

[tex]\tt{}( - 9p + 7) - (9p + 3)[/tex]

[tex]\tt{} - 9p - 7 + 9p + 3[/tex]

[tex]\tt{}7 - 3[/tex]

[tex]\tt{}4[/tex]

Whats 3642o x 3234d +99? :/

Answers

Answer:

It's 5

Step-by-step explanation:

Thank you very much for the points :DD

Have a nice day!


Solve 3(4x + 5) = 33
You may use the flowchart to help you if you wish.

Answers

Answer:

This is so simple omg

Expand ”4x+5” out so...

12x + 15 = 33

12x = 33 - 15 = 18

12x = 18

x = 1.5

Answer:

Step-by-step explanation:

Compare the original trapezoid and the enlarged trapezoid.

Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.

What is the perimeter of trapezoid ABCD?


What is the perimeter of trapezoid WXYZ?


What is the scale factor for this enlargement?

Answers

Answer:

13, 32.5, 2.5

Step-by-step explanation:

Answer:

The answer is in the photo

Step-by-step explanation:

Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?

Answers

3x+8+6x+64=180 (definition of supplementary angles)
9x+72=180 (Simplify)
9x=108 (Subtraction property of equality)
x=12

Samuel use the distributive property to simplify the expression -6(-2 - 10x) - 7x And came up with the answer 53X -12, which is wrong.

What was Samuels mistake

Answers

Answer:

-6 x -2 = 12

-6 x -10x = 60x

12 - 60x

60x - 7x = 53x

12 - 53x

He flipped it the wrong way its supposed to be 12 - 53x not 53x - 12.

What is the image of the point (-2,7) after a rotation of 180° counterclockwise
about the origin?

Answers

The answer to the question is that question i was the first one in eyesight

180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.

Given a point let's say A(-2,7)

If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.

A(-2,7) ← Second quadrent

A'(2,-7) → Fourth quadrant

Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".

For more about coordinates,

brainly.com/question/7869125

#SPJ5

Help??I have 4 questions and im confused on all of them

Answers

So you you are trying to find the area of sphere so you would use this formula
A=4•3.14•r^2

And you already know that the radius is 6 so you would go ahead and plug in the numbers
A=4•3.14•4^2

4^2 is 16 so your final equation would be
A=4•3.14•16

And your answer is

=452.39

whats 3/2 divided by 8/3 in fraction form

Answers

Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

Find the area of each of the following

Answers

Answer:

The area of this shape is 252.

Step-by-step explanation:

Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.

9 x 13 = 117 (rectangle part)

15 x 9 = 135, 135/2 = 67.5

15 x 9 = 135, 135/2 = 67.5

67.5 + 67.5 + 117 = 252

Which of the following is equivalent to

X^2 - 8x - 7 =0

A.) (x-8)^2 = 15

B.) (x-4)^2 = 15

C.) (x-8)^2 = 23

D.) (x-4)^2 = 23

Answers

Answer: it will be D

Step-by-step explanation: if You graph them you will get the same coordinate plates

Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 9 cm and a total area of 27 cm², what is the height?

Answers

Answer:

6

Step-by-step explanation:

Which graph shows the line y = 4x - 2?

Answers

Answer:

Line A

Step-by-step explanation:

Line A is the blue line with the y-intercept of (0,-2) and positive slope of 4.

The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for​

Answers

Given diameter (D) = 100

Radius = D/2 = 50

Circumference = πD

= 100π

= 314.15926535898

this is my last question

Answers

Answer: B

Step-by-step explanation:because my teacher said she having trouble

FOR THE SMART MATH PEOPLE
WILL GIVE BRAINLIEST

Answers

This figure shown is NOT a square because a square has all angles are 90º.

It is a rhombus and a parallelogram because they both have a parallel sides(At least 2). NOW GIVE ME BRAINLIEST!!!!

use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7​

Answers

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

$17.99
with an
11.25% tax

Answers

Answer:

your final price is 19.02

your ta rate is 5.75

Step-by-step explanation:

your

An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis that there is no difference between the average yields using the different fertilizers, if the test statistic is 1.53 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis?

Answers

Answer:

We do not reject the null

Step-by-step explanation:

Given that :

Sample size, n = 41

Test statistic ; Zstatistic ;= 1.53

Critical value ; Zcritical ; = 2.57

The null hypothesis H0 ;

H0: μ1 - μ2 = 0

Alternative hypothesis, H1 ;

H1: μ1 ≠ μ2

Decision region :

Reject Null ; if |Zstatistic ≥ Zcritical|

Zstatistic > Zcritical

Result :

1.53 < 2.57

Zstatistic < Zcritical

Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.

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