A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people. Function B gives the amount of money that the bus operator earns when n people ride the bus.

Answers

Answer 1

The minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.

A small bus charges $3.50 per person for a ride from the train station to a concert.

The maximum capacity of the bus to carry the passengers is 10.

The minimum capacity of the bus to carry the passengers is 3.

Function B gives the amount of money that the bus operator earns when n people ride the bus.

Thus the value of 'n' is restricted between 3 to 10.

Therefore,

In general, the amount of money that the operator earns when n people ride the bus is given by the expression.

[tex]\rm{Amount}= \$3.5n[/tex]

The above amount can have minimum and maximum values.

Thus, the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.

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Related Questions

What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)

Answers

Answer:16 a 8 9 c 9

Step-by-step explanation:

Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .

Answers

Answer:

Answer:

AB=4

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

√16=

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

With this, we will found that the distance between A and B is: 4 units.

The first thing we need to do is find A and B.

We know that the points are the intersection between the two parabolas.

y = -x^2 + 9

y = 2*x^2 - 3

The intersection is given by the zeros of the difference:

(2*x^2 - 3) - (-x^2 + 9) = 0

3*x^2 -12 = 0

3*x^2 = 12

x^2 = 12/3 = 4

x = √4 = ±2

To find the points, we need to evaluate one of the parabolas in these two x-values.

Let's use the first one:

y = -(2)^2 + 9 = 5

So we have the point (2, 5)

For the other point:

y = -(-2)^2 + 9 = 5

So we have the point (-2, 5)

Then we can define:

A = (2, 5)

B = (-2, 5)

Using the distance equation we get:

[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]

The distance between A and B is 4.

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Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

Answers

Answer:

80=x+y

Step-by-step explanation:

The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.

if f(x)=2x+5 and g(x)=x+3, write an expression that is equivalent (f g)(x)

Answers

Step-by-step explanation:

45-30=15 spent on movies

divide the 15 by 2.5 to get 6.

$30+$2.50m=$45

where m is the amount of movies

Answer:

let he purchaseed x movies

30 + 2.5x = 45

or 2.5x = 15

x=15/2.5 =6

Step-by-step explanation:

If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain

Answers

Answer:

Always

Step-by-step explanation:

In order for an integer to be even, one of the factors must be 2. Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.

Solve the equation
6 - ( 3 - c ) = 2

Answers

Answer:

c = -1

Step-by-step explanation:

6 - (3 - c) = 2

6 - 3 + -(-c) = 2

3 + c = 2

c = 2 - 3

c = -1

Check:

6 -(3-(-1)) = 2

6 - (3+1) = 2

6 - 4 = 2

Answer:

C=-1

Hope this helped! :) if it was correct please give me brainliest!

Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?

Answers

Answer:

Step-by-step explanation:

2 medium popcorns = 9$

2 Movie tickets = 16$

One coupon = -4$

This is equal to the cost without the soft drink(21$)

23$ - 21$ = 2$

Answer:

Step-by-step explanation:

It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.

1. Start from the cost of each item.

8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .

2. Add the totals together.

16+9+ 25

Now subtract 25 from the original amount.

27-25=2

It costs 2 dollars for a soft drink.

can someone help me answer this

Answers

Answer:

8m + 5/m -10 m^2

Step-by-step explanation:

24m^4 / 3m^3 = 8m

15m^2 / 3m^3 = 5/m

- 30m^5 / 3m^3 = -10m^2

Putting these back together

8m + 5/m -10 m^2

Marty drew a model of the school library. The total area of the floor is 132 square
centimeters. What is the area of the shaded part of the model shown below?
10 centimeters
6 centimeters
What is the area of the shaded part?

Answers

Answer:

Step-by-step explanation:

The unit digit in the square of the number 132 is options are:- 1) 1 2) 2 3) 3 4) 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer fast

Answer:

There are 12 bottles of water in a full pack.

Step-by-step explanation:

look at screen shot for answer.

The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of

Answers

Answer:

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

Solve for x.

[tex] - 2(6 + x) = 18 - 3x[/tex]

x = [?]

Answers

-2(6 + x) = 18 - 3x
-12 - 2x = 18 - 3x
-2x + 3x = 18 + 12
x = 30

9x - 12 = 13 + 4x
Respuesta y ejemplo

Answers

We add 12 to both sides
9x=13+14x+12
Simplify it we get
9x=4x+25
Subtract 4x from both sides
9x-4x=25
We simplify it and we get
5x=25
Divide both sides by 5
X=25/5
And we get x=5 as the answer

Responder:

x=5

Explicada:

9x-12=13+4x

Suma 12 a ambos lados

9x-12+12=13+4x+12

simplificar

9x=4x+25

restar 4x de ambos lados

9x-4x=4x+25-4x

Simplifica de nuevo

5x=25

dividir ambos lados entre 5

5x/5=25/5

Simplifica de nuevo

x=5

x + x + 1 + 2 = 48?

Answers

Step-by-step explanation:

x + x + 3 = 48

2x = 48 - 3

2x = 45

x = 45/2

Answer:

x = 45/2

Step-by-step explanation:

x+x+1+2 = 48

combine like terms

2x + 3 = 48

2x - 3 = -3

2x = 45

2x/2 = 45/2

x = 45/2

Identify the graph of the inequality 2(2x – 1) + 7 < 13 or –2x + 5 < –10.

Answers

Answer:

–2x + 5 < –10.

Decimal Form: 7.5

15/2

Answer:

the answer is C on edge

What is the value of x+2, when x = 2 ?
I

Answers

Answer: 2 + 2 x =2

Step-by-step explanation:

x + 2

x=2

2+2

Hey there!☺

[tex]Answer:\boxed{4}[/tex]

[tex]Explanation:[/tex]

[tex]x+2[/tex] when x = 2

Since x is 2, you just have to add it with the number that you need to add with.

[tex]x+2\\x(2)+2=4\\2+2=4[/tex]

4 is your final answer.

Hope this helps!

Write the ratio 7/8 in two different forms

Answers

You can write it
7 to 8
7:8

f(x) = 3(x-4)2-2
Pls help me solve

Answers

Answer:

x = 13/3

Step-by-step explanation:

Solve for x:

3×2 (x - 4) - 2 = 0

Hint: | Multiply 3 and 2 together.

3×2 = 6:

6 (x - 4) - 2 = 0

Hint: | Distribute 6 over x - 4.

6 (x - 4) = 6 x - 24:

6 x - 24 - 2 = 0

Hint: | Group like terms in 6 x - 24 - 2.

Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):

6 x + (-24 - 2) = 0

Hint: | Evaluate -24 - 2.

-24 - 2 = -26:

6 x + -26 = 0

Hint: | Isolate terms with x to the left hand side.

Add 26 to both sides:

6 x + (26 - 26) = 26

Hint: | Look for the difference of two identical terms.

26 - 26 = 0:

6 x = 26

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 26 by 6:

(6 x)/6 = 26/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 26/6

Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.

The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:

Answer:x = 13/3

Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km

Answers

Answer:

E; 3cm to 15km

Step-by-step explanation:

1cm to 5km

NOT A:

35cm to 1km

×5

175cm to 5km

NOT B:

1mm to 150km

÷ 30

1/30mm to 5km

NOT C:

1mm to 500m

× 10

10mm to 5km

NOT D:

5mm to 2.5 km

× 2

10mm to 5km

3cm to 15km

÷ 3

1cm to 5km

Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions

Answers

Answer:

$1.40/ hour

Step-by-step explanation:

The rate of the deductions is

Full amount minus new amount. This is the amount taken per hour

$6.50/ hour -$5.2/hour = rate

$1.40/ hour

the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250

Answers

0.0825 because you move 2 to the left

C is correct answer

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