NEED HELP ASAP 20 POINTS

A drama club is planning a bus trip to New York City to see a Broadway play. The table represents the cost per person for the bus rental compared to the number of people going on the trip. What function models the data, and how much per person will it cost if 12 students go on the trip?

TABLE BELOW
Number of Students (n) 3 6 9 16
Cost per Student (c) $24 $12 $8 $4.5

A) nc= 9, $10
B) nc= 72, $6
C) n/c= 72, $12
D)n/c= 9, $12

Answers

Answer 1

As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:

[tex]3\times24=72[/tex][tex]6\times 12=72[/tex][tex]9\times 8=72[/tex][tex]16\times 4.5=72[/tex]

Thus, the function which models the data is the [tex]nc=12[/tex].

Now, let us move on to the next part of the question:

If 12 students go on the trip then the cost per student as per this model will be:

[tex]\frac{72}{12}=6[/tex] dollars=$6

Therefore, out of the given options, the option the correct option is number B.

Answer 2

Answer:

nc=72,6$

Step-by-step explanation:

Related Questions

John uses 9 eggs to make 5 burritos. How many burritos can he make with 27 eggs?

Answers

He can make 15 burritos

Hello!

John uses 9 eggs to make 5 burritos.

27 ÷ 9 = 3

Nine goes into seven three times.

5 × 3 = 15

ANSWER:

John can make 15 burritos with 27 eggs.

HELP NOW I WILL GIVE BRAINLEST!!!
What type of association does the graph show between x and y?

A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association

Answers

Answer: Choice C) Linear negative association

-----------------------------------------------------------------------------------------------

The given points are:
(1,5)
(2,4)
(3,3)
(4,2)
(5,1)
(6,0)

The x values are: 1, 2, 3, 4, 5, 6
The y values are: 5, 4, 3, 2, 1, 0
In the same order

As x increases by 1, y decreases by 1
So we have perfect negative linear correlation

Side Note: The equation of the line that goes through all of the points is the equation y = -x+6 which can be written as x+y = 6. This line has a negative slope (slope = -1)

He’s rightAnswer:

Step-by-step explanation:

Percy is plotting points on a graph. The ratio of y-value to x-value is 2 to 3 for each point. What will be the x-value of a point with a y-value of 18?

Answers

It is 27 because if you do 9 times 2 you get 18 so you would do 9 times 3 which is the value of x, which is equal to 26

Answer: Value of x = 27

Explanation:

Percy is plotting a coordinate on the graph.

Now the ratio of y-value to x-value is 2 to 3 for each point.

Suppose Value of is 3a and y value is 2a

So, the coordinate of the point is (3a,2a)

Now we find the x value of the coordinate when value of y is 18.

2a is same as 18

2a = 18

a = [tex] \frac{18}{2} [/tex]

a = 9.

Now find the x ordinate

put the value of a=9 into 3a

3a = 3(9) = 27

So the final answer is :

Value of x = 27 when value of y = 18

A parasail is 400 feet above sea level m. Write a positive or negative integer that represents the situation

Answers

sea level is 0. Anything above sea level is positive. Anything below sea level is negative.

And since this one is 400 ft above sea level, then it is 400 (positive)

Answer:

[tex]\displaystyle 400[/tex]

Step-by-step explanation:

Anything below sea-level [below 0] is negative [−], and anything above sea-level [above 0] is positive [+].

I am joyous to assist you anytime.

write an inequality for

A maximum ceiling height of 8 feet was required in the new buildings

Answers

h is less than or equal to 8
h ≤ 8

The inequality for a maximum ceiling height of 8 feet in new buildings is expressed as h <= 8, where h is the height in feet.

To represent the maximum ceiling height of 8 feet as an inequality, we use the following expression: h <= 8, where h represents the height of a building's ceiling in feet. This inequality states that the ceiling height must be less than or equal to 8 feet to comply with the regulations for new buildings.

Find the product of (x + 7)2.

x2 − 14x + 49
x2 + 14x + 49
x2 − 49
x2 + 49

Answers

(x+7)^2=x^2+2*7x+7^2=x^2+14x+49

(a+b)^2=a^2+2ab+b^2

x2+14x+49 Answer B is the correct answer

A freight train is half a mile long. it travels at a speed of 60 mph. it comes to a tunnel that is 1 mile long. how long will it take the train to pass completely through

Answers

It would take the train 1 minute to pass through the tunnel.

1 ÷ 60 = 1/60 mph
1/60 mph also equals 1 min, since there are 60 min in an hour

Hope this helps!

If 3p+4q=8 and 4p+3q=13, what is q equal to?

Answers

q=-1 :)
just solve for one variable of your choice in either function, in this case p then plug it into the other function to start solving for q.

Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical terms, what does f'(x) mean in this case? c) What can you say about the sign of f'(x)? d)Estimate the cost of drilling an additional foot, starting at a depth of 300 ft, given that f'(300)=1000.

Answers

A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.

The solution according to the given question is provided below in the explanation segment.

According to the question,

The cost of drilling x feet is:

[tex]c(x) = f(x) \ dollars[/tex]

(a) [tex]f'(x) = \frac{df(x)}{dx} \ \frac{dollars}{feet}[/tex]

(b) Throughout the practical terms,

[tex]f'(x)[/tex] represents how many dollars its going to cost one feet.

(c) [tex]f'(x)[/tex] is positive,

The cost of drilling increases as "x" feet increases.

(d) The cost of drilling an additional foot at 300 feet will be [tex]f'(x) \Delta \ x[/tex]

here,

[tex]\Delta x =0[/tex][tex]f'(300) =1000[/tex]

then,

= [tex]1000\times 1[/tex]

= [tex]1000 \ dollars[/tex]

If you want drill 1 more feet at 300 feet, its going to cost 100 dollars in one.

Thus the above answer is correct.

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If five bags of mulch covers 32 square feet, how many square feet could 16 bags covers?

Answers

Answer:

102.4 square feet

Step-by-step explanation:

(32/5)*16=102.4

Final answer:

One bag of mulch covers 6.4 square feet. Therefore, 16 bags will cover 102.4 square feet.

Explanation:

To find out how many square feet 16 bags of mulch will cover, we need to first determine the coverage of one bag. If 5 bags cover 32 square feet, then one bag covers 32 ÷ 5, which equals 6.4 square feet. Multiplying the area covered by one bag by 16 bags gives us a total coverage, of 6.4 × 16, which equals 102.4 square feet. Therefore, 16 bags of mulch will cover 102.4 square feet.

amanda arranged 5 baskets of flowers. she finished at 4:10pm it took her 20 mins to arrange each basket of flowers. at what time did amanda begin

Answers

You will need to figure out the total amount of time she spent arranging baskets (20 mins x 5 baskets = 100 mins). You will then subtract this period of time from the beginning time. So we will go back 1 hour and 40 minutes from 4:10 p.m. This would put you starting the arrangements at 2:30 p.m. Go back to 3:10 pm for the hour and 40 minutes before that is 2:30 pm.

How far did Clara walk after getting off the bus? 2 1/2 miles, 1/4 miles, and 1 3/4 miles

Answers

More information must be added in order to do this problem, is there a table or graph? Wish I could help!

Use the diagram to identify a segment parallel to HE

Answers

A few are AB, and GF. All of which are Parallel to HE.

Two segments are called parallel if they do not intersect each other anywhere.

Here we can see that AB , CD and FG are the three line segments that are parallel to HE.

So answer is AB, CD and FG.

What is the value of 2+3n n=1/2

Answers

3x(1/2)=1.5
1.5+2=3.5

First you multiply 3 by 0.5, equaling 1.5. Then you ad 2 and 1.5 to get 3.5. Hope this helps you! :)

plz mark branliest.

Round each number to the nearest whole number.

What is the best estimate for the sum of 317.38 82.21?

A.
410

B.
400

C.
399

D.
390

Answers

The answer should be c

317.38 + 82.21 = 399.59

.5 rounds up

ANS is 400

Which of the following shows the correct match of the box numbers and the genotype of the offspring?

Answers

Technically a biology question but if you create the chart all 4 types will be Tt because the Male has the genotype of TT so they will each have a large T in each box (like making a multiplication table). and the female has tt so the only possibility is a large T with a small t in all four squares because there are both homogenous genotypes. (the bottom-most answer is the correct answer)

Answer:

i forgot i mostly think its the last?

Step-by-step explanation:

If the m<7 = 115 degrees, find the measure of <2

Answers

Answer:

The measure of [tex]\angle 2[/tex] is 115°.

Step-by-step explanation:

Now, assuming those angles are supplementary, then

[tex]m\angle 7+ m \angle 2=180\°[/tex]

Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.

We know by given that [tex]m \angle 7 =115\°[/tex], replacing this value, we have

[tex]115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°[/tex]

Therefore, the measure of [tex]\angle 2[/tex] is 115°.

The measure of m<7 is equal to the measure of m<2 by alternate exterior angle. The measure of <2 is 115 degrees.

What are the angles formed by the transverse line cut by the transversal?

Angles formed by the transverse line cut by the transversal-

Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse. Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.

Given information-

Two parallel lines are shown in the given image (attached below).

Here the measure of angle of 7 is 115 degrees.

The angle 5 is the supplementary angle of the angle 7. Thus,

[tex]\angle 5+\angle 7 =180\\\angle 5+115=180\\\angle 5=180-115\\\angle 5=65[/tex]

Thus the measure of angle 5 is 65 degrees.

Now again the angle 5 is the supplementary angle of the angle 3. Thus,

[tex]\angle 3+\angle 5 =180\\\angle 3+65=180\\\angle 3=180-65\\\angle 3=115[/tex]

Thus the measure of angle 3 is 115 degrees.

The angle 3 and the angle 2 cuts by the same line at the opposite side. Thus, angle 3 is equal to the angle 2.

Hence. the measure of angle 2 is 115 degrees.

Learn more about the angles formed by the transverse line cut by transversal here;

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Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius.One day the high temperature in Edison,NJ,was 95 degrees Fahrenheit.What was the high temperature in degrees Celsius

Answers

95 = 9/5C + 32

63 = 9/5C

9C = 315

C = 35

Degrees Celsius is 35

In what quadrant on the coordinate plane is the point (5,-2) located?

Answers

Quadrant 4.
Cause Quadrant 4 Is a mixture of negative and positive numbers and since x = 5 is positive you would look for the 5 and go down -2 which would be in quadrant 4.

Shen took out a loan for 225 days and was charged simple interest at an annual rate of 7.3%. The total interest he paid on the loan was $117. How much money did Shen borrow?

Answers

Answer:

$2600

Step-by-step explanation:

what is the value of x?

X=?

Answers

the answer of x is 54

How do you solve number 3?

Answers

if you write that as an equation it would be 4x + 4 = 3
Then you subtract 4 from both sides making it
4x=-1
now you wnat to get x by itself to get the final answer so you divide both sides by 4 making the answer:
x= -1/4

Julie uses crystals to make a bracelet. The lengths are; 1/2 , 5/8 , 3/4 , 1/2, 3/8, 1/2, 3/4, 3/8, 5/8, 1/2, 3/8, 5/8, 3/4.

6.What is the combined length of the 1/2-in. crystals? ________

7.What is the combined length of the 5/8-in.crystals? ________

8.What is the total length of all the crystals in the bracelet?________

What is the average length of each crystal in the bracelet?________

Please explain as much as possible. I have a quiz tomorrow and I need to pass it.

Answers

6.
There are 4 half inch crystals. So the combined length would be 2 inches.
1/2 +1/2+1/2+1/2 = (since the bottoms are the same just add the tops) 4/2.
4/2 = 2.

7.
There are 3 5/8 inch crystals. So the combined length would be 15/8 (or 1.875 or 1+7/8)
Same here, 5/8 +5/8 + 5/8 = 15/8.

8.
The length of all the crystals together would be 29/4 (or 7.25 or 7+1/4)
Here, just find a common denominator. In this case it would be four. Then, just multiply or divide the top number by whatever you did to the bottom one.

9.
The average length is: 29/52 (or 0.557)
Divide 29/52 by 13. (to find an average, add all the number and divide it by the amount of number you added.

A rectangular prism measuring 10m and 7m along the base and 12m tall

Answers

Assuming you are asking for the volume by your given data points, if so, the volume of the rectangular prism is 840m^3.

A rectangular prism measuring 10m and 7m along the base and 12m tall.

The volume of the rectangular prism is 840 cubic meters.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A rectangular prism measuring 10m and 7m along the base and 12m tall.

a = 10

b = 7

c = 12

The volume of the rectangular prism

= 10 x 7 x 12

= 840

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PLEASE HELP ME!!! Can anyone tell me an easy, step by step way to figure out if a trinomial is a perfect square or not? I have a test tomorrow. Do it like step 1, step 2, ect.

Answers

1. the first term is a positive perfect square
2. the last term is positive perfect square
3. the middle product is twice the product of the square root of the first term and the square root of the third term

Perfect square Trinomial factoring formula are:
a to the second power +2ab=

what is the simplified form of the following expression 6xyz/2xz

Answers

Simplify the following:
(6 x y z x z)/2

6/2 = (2×3)/2 = 3:
3 x y z x z

3 x y z x z = 3 x^2 y z^2:
Answer: 3 x^2 y z^2

Which of the following is another way to explain the Distributive Property?

1) With addition and multiplication, it doesn't matter how you group things.

2) With addition and multiplication, the operands can be moved around.

3) Multiplication distributes over addition

Answers

Multiplication distributes over addition

Would you just subtract the numerators like normal? Like 7-5 the answer would be 2/9

Answers

Yes, but only if the denominator is the same.

Hope this helps!

Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz

Answers

the order is III, II, I, IV

Answer:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]

Step-by-step explanation:

We are given expressions in the question.

Term in an expression:

Each expression constitute terms.A term can be a number, a variable, or a constant multiplied by a variable or variables.Each term in an algebraic expression is separated by a + sign or - sign.

We need to find the number of terms in each expression:

[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]

[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]

[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]

[tex]9x^2yz\\\text{Number of terms} = 1[/tex]

Arranged from greatest to least by number of terms:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]

he short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.

If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?

a0 inches

Answers

The sum of two adjacent sides is 11 inches, so the long sides are 9 inches. The "unknown number" must be 12.

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