The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $77. The second van transported 2 adults and 7 students and cost $95. Find the cost for one student to enter the competition.

Answers

Answer 1

Answer: $9

Step-by-step explanation:

Let the cost for adults be a

Let the cost for students be b.

The first van transported 2 adults and 5 students and cost $77. This will be:

2a + 5b = $77

The second van transported 2 adults and 7 students and cost $95. This will be:

2a + 7b = $95

2a + 5b = 77 ...... equation i

2a + 7b = 95 ........ equation ii

Subtract equation ii from I

-2b = -18

b = 18/2

b = $9

An student cost $9

Put the value of b into equation i

2a + 5b = 77

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32/2

a = 16

An adult costs $16


Related Questions

Solve for the value of m

Answers

Answer:

m = 7

Step-by-step explanation:

The 3 given angles lie on a straight line, thus sum to 180° , then

8m - 4 + 90 + 5m + 3 = 180, that is

13m + 89 = 180 ( subtract 89 from both sides )

13m = 91 ( divide both sides by 13 )

m = 7

Which expression is equivalent to (f9)(5)?

Answers

Answer:

i think it would be fx9x5

Step-by-step explanation:

sorry if its not write

12.5z + 19.4 = -2.7z + 93.9

Answers

Answer:

z =  4.90131578

Step-by-step explanation:

Answer:

9.8z + 113.3

Step-by-step explanation:

Combine like terms!

12.5z - 2.7z = 9.8z

19.4 + 93.9 = 113.3

A movie production company was interested in the relationship between the budget to make a movie and how well that movie was received by the public. The company collected information on several movies and used it to obtain the regression equation y = 0.145x+0.136, where x represents the budget of the movie (in millions of dollars) and y is the predicted score of that movie (in points from 0 to 1). Which statement best describes the meaning of the y-intercept of the regression line?

When the score of a movie is 0 points, the predicted budget is $0.
When the score of a movie is 0 points, the predicted budget is $0.136 million.
When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.
When the budget of a movie is $0, the predicted rating is 0.145 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.

Answers

Answer:

Pretty sure it's (C), although I am unable to check.  --> IT IS C I GOT 100%

"When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0."

The y intercept is the starting "points", which is .136.  Basically the company uses the equation to figure out how much money they got from a movie and how it increases as the budget increases. They make money off points.

So when there's no budget or a budget less than a million, thats what they earn in points.

Which is, .136 ; this means when theres no budget, they are expected to start with .136 points. (Probably cuz they're a cool company or something)

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

If you're looking for a question that asks "What is the predicted score of a movie that has a $5 million budget?", its (C), .861

If you're looking for a question that asks "What is the predicted score of a movie that has a $250,000 budget?", it's (B) 0.17225 points

[THIS PART IS SEPARATE FROM THE ORIGINAL QUESTION]

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

ED2021

The interpretation of a given situation is required.

When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.

The regression equation is

[tex]y=0.145x+0.136[/tex]

where,

[tex]y[/tex] = Predicted score of that movie

[tex]x[/tex] = Budget of movie in millions of dollars

The y intercept is the value of the function when [tex]x=0[/tex]. So,

[tex]y=0.145\times 0+0.136\\\Rightarrow y=0.136[/tex]

When [tex]x=0[/tex] this means the budget of the movie is 0 million dollars.

This is not meaningful.

So, the correct interpretation of the y intercept is When the budget of a movie is $0, the predicted rating is 0.136 points. This interpretation is not meaningful, because a movie cannot have a budget of $0.

Learn more:

https://brainly.com/question/20020812

https://brainly.com/question/14305458

Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and
mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of
each prize she can buy.

Answers

Answer:

1.25x + 1.5y=25

Step-by-step explanation:

let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.

The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.


Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Let the number of lip balm that can be purchased be x,  and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25

Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.

Learn more about equations here:

brainly.com/question/10413253

#SPJ5

The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which inequality represents this situation?

A) y
B) y<_x+28

C) x+y <28

D) x+y<_28

Answers

Answer:

x+y < 28

Step-by-step explanation:

1. Look at your variables: x is the first number and y is the second.

2. Know the limits: It says it has to be NO MORE than 28, so the inequality has to be less than (<) 28. And it says that the SUM of 2 numbers (in this case x and y), is no more than 28, so you know there's some addition between the two.

3. Write out your inequality: x+y < 28

Is it cheaper to buy 10 single apples or buy them in a bundle of 10?



Plz help I’m not trying to fail

Answers

it's easy to by them Cheaper tbh  with you  

and it's a quiz Right??

Answer:

A bundle always cheaper than a single apple.

Step-by-step explanation:

Bundling helps to increase efficiencies and reduce marketing and distribution  as well as maintenance cost.

what is 342+8837+377+3893+39845

Answers

The answer is 53294. You can also use a calculator

Answer:

53,294

Step-by-step explanation:

Daisy decides to go on a hike to a picnic area. Her map shows that when she reaches the giant oak tree she will have completed 60% of the hike. When Daisy reaches the giant oak tree she has walked 18 kilometers.

Answers

Answer:

12 km

Step-by-step explanation:

Question:How many kilometers does Daisy have left to reach the picnic area?

Given

60% of the hike = 18 km

Let the distance be x, then

0.6x = 18x = 18/0.6x = 30 km

Remaining distance is:

30 - 18 = 12 km

What is 1 1/4 + 2/3 it didn’t show me the answer that I was looking for I’m adding there were showing me to multiple.

Answers

Answer:

1 11/12

Step-by-step explanation:

rewriting our equation with parts separated

=1+14+23

Solving the fraction parts

14+23=?

Find the LCD of 1/4 and 2/3 and rewrite to solve with the equivalent fractions.

LCD = 12

312+812=1112

Combining the whole and fraction parts

1+1112=11112

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

54+23

Applying the fractions formula for addition,

=(5×3)+(2×4)4×3

=15+812

=2312

Simplifying 23/12, the answer is

=1 11/12

Answer:

1 11/12

Step-by-step explanation:

add wholes = 1

then fractions 1/4 = 3/12      2/3=8/12

this then equals 1 11/12

Every day, you buy your lunch for $4 at school. How much money will you spend if you buy your lunch from Monday through Friday for three weeks?

Answers

Answer: 60

Step-by-step explanation: If you buy your lunch every day for 1 week, that would be 20 dollars spent. If you spend 20 dollars in 1 week, then 3 weeks would be 60.

Let me know if I'm right!

If you buy lunch everyday at school for $4 thats $20 a week, and $60 in 3 weeks.

The answer to this question is $60.

$4 x 5 = $20

$20 x 3 = $60

HELP!!!!HELP!!!!HELP!!!!HELP!!!!
In this figure, a line through points x and y will ______.
A. Be perpendicular to AB but not bisect it
B. Be the perpendicular bisector of AB
C. Bisect AB but not perpendicular
D. Be unrelated to AB

Answers

Answer:

B

Step-by-step explanation:

From the figure, its clear that the compass drew arcs like below:

With A as centre, and more than half of the length of AB as radius, one arc is drawn.

With the same radius, with B as centre, another arc is drawn.

The points of intersections of the arcs are X and Y.

Clearly, this is the construction of a perpendicular bisector of the line segment AB.

Hence, if we draw a line segment through XY, it will be a perpendicular bisector of AB.

Step-by-step explanation:

{5,25,35,45,55,65} Rational numbers

Answers

Answer:

yes

Step-by-step explanation:

5,25,35,45,55,65

What are the angle measures of 1 and 2

Answers

angle 1 measures: 105°

angle 2 measures: 75°

hope this helped!

Analyze the function’s graph to determine which statement is true.

Over the interval [–2.5, 0.5], the local maximum is 2.
As the x-values go to positive infinity, the function’s values go to negative infinity.
The function is decreasing over the interval (–1, 0.75).
The function is negative for the interval [–2, 0].

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

For the functions f left parenthesis x right parenthesis equals 6 minus x squared and g left parenthesis x right parenthesis equals x squared plus 4 x minus 12​, find fplus​g, fminus​g, ​fg, and StartFraction f Over g EndFraction . Determine the domain for each function.

Answers

Answer:

Step-by-step explanation:

Given the functions

F(x) = 6-x²

G(x) = x²+4x-12

A) we are to find F(x)+g(x)

F(x)+G(x) = 6-x²+x²+4x-12

F(x)+G(x) = 6+0+4x-12

F(x)+G(x) = 4x+6-12

F(x)+G(x) = 4x-6

The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER

F(x)-g(x) = 6-x²-(x²+4x-12)

F(x)-g(x) = 6-x²-x²-4x+12

F(x)-g(x) = 6-2x²+4x+12

F(x)-g(x) = -2x²+4x+6

The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER

3) F(x)/G(x)

= 6-x²/x²+4x-12

The domain of the function is the values of x for which the expression exists. The expression exists on all real interval i.e xER

2. Find the value of x for which l | | m.​

Answers

2x-5=95 due to the alternate interior angles thm so you just add 5 to 95 to get 2x=100 then divide by 2 to get x=50!

If Casey deposits $16 into his lunch account each week, how much will be deposited in 5 weeks? If Casey decides to buy lunch for his friend at $3.00 per lunch, how many lunches can he buy his friend?

Answers

Answer:

The exact number would be 26.66666667 but it would be 26.

Step-by-step explanation:

Usually when dealing with decimals anything 5 and up would be rounded up but since we are dealing with money we don't round up. Since his friends lunch cost $3 every lunch the most he will be able to buy is 26. He will have about $2.5 left over which he cannot buy a lunch with so thats why you dont round up.

The distribution of durations for which apartments remain empty after the resident moves out for one property management company over the past 10 1010 years was approximately normal with mean μ = 85 μ=85mu, equals, 85 days and standard deviation σ = 29 σ=29sigma, equals, 29 days. The property management company tags the files of the apartments that were empty for the shortest 5 % 5%5, percent of durations to have priority cleaning the next time their residents move out

Answers

A part of the question is missing which is;

What is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances? Round to the nearest whole number.

Answer:

133 days

Step-by-step explanation:

We are given;

Population mean; μ = 85 days Population standard deviation; σ = 29 days

significance level; α = 5% = 0.05

Critical value of z at significance level of 0.05 = 1.645

Now, formula for z-score is;

z = (x - μ)/σ

Where x is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances.

1.645 = (x - 85)/29

(1.645 × 29) = x - 85

47.705 = x - 85

x = 85 + 47.705

x = 132.705

x ≈ 133 days

Answer: 37 days

Step-by-step explanation:

What is the quotient

-4/5 divided by 2

-1 3/5

-2/5

1/2

1 3/5

Answers

Answer:

-2/5

Step-by-step explanation:

-4/5÷2/1

-4/5×1/2

=-2/5

-2/4

I got it right on edgen

23.749 in expanded form using decimals

Answers

Answer: twenty-three . seven hundred fourty-nine

twenty-three = 23

seven hundred = .7

fourty = 4

nine = 9

What is the slope for Δy = 27, Δx = –8

Answers

Answer:

The slope is - 3 3/8

Step-by-step explanation:

Mathematically, we can calculate the slope m using the formula;

m = Δy/Δx

From the question;

Δy = 27 and Δx = -8

The slope will thus be;

m = 27/-8 = - 3 3/8

The measure of an angle is 63°. What is the measure of its supplementary angle?

Answers

Step-by-step explanation:

[tex]63 + x = 180 \\ x = 180 - 63 \\ x = 117 \\ so \: the \: supplemetary \: angle \: of \: 63 \: deg \: is \: 117 \: deg.[/tex]

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️

Please answer I will mark you as brainlist PLEASEEE ANSWER

Answers

The answer to this question is A

Which value must be added to the expressionx2+16x to make it a perfect-square trinomial?

Answers

Answer:

Step-by-step explanation:

Please write  x^2+16x  or  x²+16x  to indicate the exponentiation.

To rewrite  x²+16x  as a perfect square trinomial:

1) Take half of the coefficient of x, that is, half of 16, which is 8

2) Square this result:  8² or 64

3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:

x²+16x + 64 - 64

4) Rewrite the first three terms as the square of the binomial x + 8:

(x + 8)² - 64  

Here (x + 8)² is a perfect square trinomial.

Answer:

The answer is C.) 64 on edge.

Given the equation y = -3x + 6, the slope is

Answers

Answer:

-3 I think...

Step-by-step explanation:

y=mx+b. where m is the slope, since -3 is the value for m, it is the slope

khan academy graph from the linear standard form.
Graph -14x + 21y = 84

Answers

Answer:

16

Step-by-step explanation:

because i am smort

The pictures show you the work and the answer.

During their last workout, Michelle did 81 crunches in 3 minutes and her friend Zack did 104 crunches in 4 minutes. Each person thought they did more crunches per minute. Based on this workout, which person is correct?

A) Both are correct.
B) Zack is correct.
C) Neither are correct.
D) Michelle is correct.

Answers

Answer:

D) Michelle is correct.

D) Michelle is correct

81/3=27 104/4=26

Michelle did 27 per min and Zack did 26 per min.

Answer this question to get brainlist

Answers

Answer:

The answer is D

Answer:

The answer is D

Step-by-step explanation:

A is incorrect because since 1 and 7 are both on the bottom half so they are congruentB is incorrect because 3 and 5 are both on the bottom half so they are congruent as wellC is incorrect for the same reason as A and BD is correct because they are both on the top half which means they cant be congruent

      Thus your answer would be D

Find the value of x. Photo provided.

Answers

sorry if it’s a bit messy. hopefully i could help!!
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