Mathematics High School

Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary.

Answers

Answer 1

Answer:

Total cost= 55 + 0.42*x

x= miles driven

Step-by-step explanation:

Giving the following information:

Bob's cost for his truck was $112.96 for 138 miles.

Carl's cost for his truck was $142.78 for 209 miles.

To calculate the fixed cost and variable cost per mile, we need to use the high-low method:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (142.78 - 112.96) / (209 - 138)

Variable cost per unit= $0.42 per mile

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 142.78 - (0.42*209)

Fixed costs= $55

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 112.96 - (0.42*138)

Fixed costs= $55

Finally, the cost equation:

Total cost= 55 + 0.42*x

x= miles driven

Answer 2

Answer:

The answer is D

Step-by-step explanation:

Related Questions

A bagel and a slice of pie cost $4. The slice of pie cost $1.60 more than the bagel. How much did the bagel cost

Answers

Answer:

$2.04

Step-by-step explanation:

$4-$1.60

Answer:Bro u just saved my life with that answer

Step-by-step explanation:

What is the equation of the vertical line through (-8, 5)

Answers

Answer:

The equation of the vertical line passing through the point (-8, 5) will be:

[tex]x=-8[/tex]

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (-8, 5).

To determine the equation for the vertical line passing through the point (-8, 5), we must observe that the vertical line will always have the same x-value regardless of y-values.

Therefore, the equation of the vertical line passing through the point (-8, 5) will be:

[tex]x=-8[/tex]

1) Find the perimeter of the following
polygon
8 ft.
5 ft.

Answers

The answer is 21 :), the side without any number is also 8 because the line in it shows it’s congruent to the line on the opposite side so 8+8+5=21

Tom rented a truck for one day. There was a base fee of $14.95, and there was an additional charge of 73 cents for each mile driven. Tom had to pay $220.81 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Tom drove 282 miles.

Step-by-step explanation:

x = number of miles driven

220.81 = 14.95 + 0.73x

-14.95       -14.93

205.86 = 0.73x

/0.73        /0.73

282 = x

Hope this helps!

In a group of 30 students. 8 take Italian, 12 take German wind 3 take both languages. How many students in the group neither take German nor Italian?

Answers

Simple, 13 students do not take a language class.

8 french students + 12 Spanish students = 20 language students

3 students take both classes so 20 - 3 = 17 language students.

30 - 17 = 13

Therefore 13 students neither take Spanish nor French.
The answer is 7 students in the group neither take German nor Italian.

That is because 8 students that take Italian + the 12 that take German, and + the 3 student that take both = 23 students.

Since they are 30 students in total and 23 students that take either German, Italian, or both, you subtract the 23 students from the total 30, leaving you with 7 students who neither take German not Italian.

I hope this helps, cause then again idek

what is the name of the triangle​

Answers

Answer:

What is the name of the triangle

Ans) triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene. A triangle can be simultaneously right and isosceles, in which case it is known as an isosceles right triangle

Step-by-step explanation:

There shall be a picture so that you say its name

Hope it helps

Answer:

answer is C. isosceles

because of the two equal sides so it cant be equilateral and it can be right angle because it doesn't have a perpendicular bisector

Step-by-step explanation:

Y: 2y - 3(4y-3) = 9y + 28

Answers

Answer:

y = - 1

Step-by-step explanation:

Given

2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side

2y - 12y + 9 = 9y + 28

- 10y + 9 = 9y + 28 ( subtract 9y from both sides )

- 19y + 9 = 28 ( subtract 9 from both sides )

- 19y = 19 ( divide both sides by - 19 )

y = - 1

26) John makes $12 per hour as a lifeguard and $8 per hour at the library.
This summer, he would like to make at least $500 working his two jobs.
Which graph represents the number of hours he must work at each job to
reach his goal?

Answers

Graph B is the correct answer

Answer:

B

Step-by-step explanation:

What is the m for this slope?

Answers

Answer: -1/4

Step-by-step explanation:

Slope=rise/run

We rise 1 up

We run 4 to the left (making it negative)

Answer:

Step-by-step explanation:

first of all m is slope and youre not giving me any numbers or resources to work with. Maybe pay attention just a bit in class

5x-4y=-18 and x-4y=6

Answers

Answer:

x = -6 and y = -3

Step-by-step explanation:

x- 4y =6

x =4y +6......(i)

5x -4y =-18

20y +30 - 4y = -18

16y = -48

y = -3

x = -12+6

x = -6

Which shape is similar to shape I? A. B. C. D.

Answers

the answer to your question is B!!
_____________
good luck on your assignment!! <3

E because it's in order

Identify the domain of the relation {(1,9), (2,5) (4, 6), (7, 1), (2,4)} .

Answers

The domain would be known as the list of the x which in this case would be listed as 1,2,4,7.

Please helppppp me Idk how to answer this

Answers

c. Plug in 0 into the equation
y = (0)^2 + 10
y = 10
It would be (0,10)

I need help with this

Answers

1.)

Domain:2,2,-8,-9,-3

Range:3,-7,-2,6,-9

2.)

Domain:-2,1,6,-6,1

Range:5,-5,-6,8,6

The Domain is the x-value and the range is the y-value.

Hope this helps!!

7k-3=6k what does k equal

Answers

Answer:

k = 3/13

Step-by-step explanation:

7k-3=6k

3 = 6k + 7k

13K = 3

k = 3/13

PLZ HELP SPEEDY A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.

Which of the following points lie on this same line?
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)

Answers

Answer: (-1.5,0), (-6,9), (3, -9)

Step-by-step explanation:

Pick an lunch for every single day?

Answers

Answer:

The last one please.

I’m stuck between the chicken salad and the hamburger I’m probably leaning more towards the chicken salad because still has high protein and it’s healthy

By how much does 2/3 of 12 exceed 3/7 of 5

Answers

Answer: 5.872

Step-by-step explanation:

Two thirds of twelve is eight and three sevenths of five is around 2.14 so subtract 2.14 from eight and you get the answer above

what is the midpoint​

Answers

Answer: (-1,-3

the formula for midpoint is

((x+x)/2 , (y+y)/2)

=(-3+1)/2 , (-1+-5)/2
=-2/2 , -6/2
=-1,-3

Or you could just look at the graph and see that -1,-3 is where the exact middle of the line is

Find the value of x.​

Answers

Answer:

x = 44°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

x° + 104° + 32° = 180°

Step 2: Solve for x

Combine like terms:                    x + 136 = 180Subtract 136 on both sides:        x = 44°

Answer:

44°

Step-by-step explanation:

Because Sum of three angles of a triangle equals 180 °

So 180°-(104°+32°)

=180°-72°

=44°

PLEASE HELP ASAP!!!!!!! 26 points

If Serena puts $1000 in a savings account that pays 2% interest compounded annualy, how much money will she have in the account after 10 years? (Hint: To find the amount of money after 1 year. multiply by 1.02.)

Answers

Answer:

5000

Step-by-step explanation:

1000 ÷ 2 = 500 x 10 = 5000

Answer:

$1221.19

Step-by-step explanation:

Formula for compound interest:

A= P(1+r/n)^n x t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We know that Serena pays annually meaning yearly (12 months or 1 year)

So after substituting all the numbers in,

A= 1000(1+0.02/12)^(12x10)

We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).

DISCLAIMER:

I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.

a._x2 _ 25
How do you do this

Answers

Answer:

x=[tex]\frac{+}[/tex]5 or x=5, x=-5

Step-by-step explanation:

If the question is [tex]x^{2}=25[/tex] then you take the square root of both sides. [tex]\sqrt{x^{2}}=\sqrt{5^{2}}[/tex] because 25=5*5=[tex]5^{2}[/tex].

When you simplify you get x=[tex]\frac{+}[/tex]5

So x=-5, =5.

find the measurement of the angle? will give brainliest

Answers

Answer:

98°

Step-by-step explanation:

The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°

Help please? Will mark correct and first answer as brainliest!! : )

Answers

Answer:

It Is O. 8

Step-by-step explanation:

Because you are suppose to round the number to the one in front of the other number

83/100 83%

.......................

I will give barinlest im not playing im frfr

Answers

M=32•3
M=96
She ran 96 miles O. o
Hope they helps!

Answer:

M= 32 x 3

M= 96

Carly ran 96 miles

Step-by-step explanation:

May I have brainliest please? :)

please helppppppppppp!

Answers

Answer:

3y - x = 21

Step-by-step explanation:

Answer:

3y - x = 21

Step-by-step explanation:

y = -3x - 8

The perpendicular line has the reciprocal slope.

So, the slope of this perpendicular line would be 1/3.

The equation that has the slope of 1/3 is 3y - x = 21.

Hope this helps!

Bailey can put x houses of his holiday miniature village on each of 7 shelves. He also has 10 houses displayed on his buffet. If he wants to display at least 45 of his houses, how many houses must he put on each of the 7 shelves? Write an inequality to represent this situation

Answers

Answer:

7x + 10 ≥ 45

Step-by-step explanation:

Given that:

Number of shelves = 7

Number of houses to display on each shelf = x

Number of houses to display = atleast 45 (≥)

Number displayed on buffet = 10

Number displayed on buffet + (number of shelves * number per shelf) ≥ number of houses to display

10 + (7 * x) ≥ 45

7x + 10 ≥ 45

How many real solutions does the function shown on the graph have?
A. no real solutions
B. one real solution
C. two real solutions
D. cannot be determined

Answers

Answer:

no real equations

Step-by-step explanation:

the line isnt touching the x intercept line meaning there wouldn't be any equations to begin with

IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal 0?

Answers

Answer:

0

Step-by-step explanation:

What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.

8.3 + 2.7 Adding and Subtracting Decimals

Answers

Answer:

your answer is 11

Step-by-step explanation:

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