A student drove 9,500 miles in his car last year. Fixed costs totaled $1,215.
Variable costs totaled $1,985. What is the total annual cost? What was the
cost per mile? (Enter answer: $-----; $-----)

Answers

Answer 1

Answer: $7,81; $4.78 per mile

Step-by-step explanation:

To get the cost per mile we have to divide 9,500 by the cost.

(The total cost annual was $3,200)

9,500 divided by $1,215 = $7.81

9,500 divided by $1,985 = $4.78

I hope this helps!


Related Questions

Female Height: Mean-63.6 Standard Deviation- 2.5

How tall is Carrie if 2.5% of women are shorter than her?

Answers

Answer:

???

Step-by-step explanation:

Which measurement is shorter?

6 kilometers or 5,500 meters?

Answers

the answer is 6 kilometers because 1kilometer=1000 meters

The answer is 5500 meters.

i.e. 5500 meters is shorter than 6 km.

What is measurement?

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.

Here, we have,

6 kilometers=6000m.

because, 1 kilometer=1000 meters

6000>5500

Hence,  5500 meters is shorter than 6 km.

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The length of the base of a square pyramid is 15 inches. The slant height is 10 inches. What is the surface area of the pyramid?



Answers

The surface area of a square pyramid is the sum of the area of the base and the area of the four side squares. The surface area of the square base pyramid is 525 in².

What is the surface area of a square pyramid?

The surface area of a square pyramid is the sum of the area of the base and the area of the four side squares. It is given by the formula,

Surface Area of the Square pyramid = a² + 2al

where a is the length of the side of the base, and l is the length of the slant height of the pyramid.

The length of the base of the square pyramid is 15 inches, while the length of the slant height of the pyramid is 10 inches. Therefore, the surface area of the pyramid is,

[tex]\text{Surface Area of the Square pyramid} = a^2 + 2al[/tex]

                                                         [tex]\rm = (15)^2 + (2 \times 15 \times 10)\\\\= 225 + 300\\\\= 525\ in^2[/tex]

Hence, the surface area of the square base pyramid is 525 in².

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How do lichens weather rock?

Answers

Answer:

Biological weathering is the actual molecular breakdown of minerals. There are things called lichens (combinations of fungi and algae) which live on rocks. Lichens slowly eat away at the surface of rocks. The amount of biological activity that breaks down minerals depends on how much life is in that area

Step-by-step explanation:


Simplify.

(4x3y−6)(2xy6)
A) 8x3
B) 8x3y−1
C) 8x4
D) 8x4y−1

Answers

Answer:

C

Step-by-step explanation:

PLEASE HELPPPPPPPP ME

Answers

Answer:

12.87

Step-by-step explanation:

If the angle of depression is 25, then the angle of elevation is also 25.

You need to use tangent for this problem. (opposite and adjacent sides)

Use tan(25)= 6/x

Divide 6 by tan(25) = 12.87

What is the slope intercept equation of this line

Answers

the answer is C                                                      

dont know if its to late to answer but here

Hi! 6=3+b? please help me

Answers

Answer:

b = 3

Step-by-step explanation:

All you need to do is subtract 3 from both sides, like so:

6 = 3 + b

-3  -3

________

3 = b

Answer:

B = 3

Step-by-step explanation:

6  =  3 + b, subtract the 3 from 6

6 - 3 = b

3 = b

What is the value of x? A) 6 B) 8 C) 10 D) 12

Pls help ?

Answers

I don’t know the answer, sorry. I made this post on accident.



A1 B1 C1

A2 2 7 1

B2 2 10 3

C2 1 3 1


The table shows the number of students in a class that received letter grades on 2 recent exams. The first exam is shown across the top and is summarized as A1, B1, and C1, and the second exam is in the first column, A2, B2, and C2. Given that a student earns a B on the first exam, what is the probability the student earns a B on the second exam?

A) 25%

B) 33%

C) 50%

D) 67%

Answers

Answer:

C) 50%

Step-by-step explanation:

The probability the student earns a B on the second exam, given that a student earns a B on the first exam is 0.5 or 50%.

How to find the probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The below table shows the number of students in a class that received letter grades on 2 recent exams.

         A1     B1     C1A2     2        7       1B2     2       10       3C2      1        3       1

The first exam is shown across the top and is summarized as A1, B1, and C1, and the second exam is in the first column, A2, B2, and C2.  In the given table, the student get B in first exam is,

[tex]X=(7+10+3)\\X=20[/tex]

The student get B in second exam is which got B in first exam are 10.

[tex]Y=10[/tex]

The total number of students are,

[tex]2+2+1+7+10+3+1+3+1=30[/tex]

The probability the student earns a B on the second exam, given that a student earns a B on the first exam, is,

[tex]P(Y|X)=\dfrac{P(Y\cap X)}{P(X)}\\P(Y|X)=\dfrac{\dfrac{10}{30}}{\dfrac{20}{30}}\\P(Y|X)=0.5[/tex]

Thus, the probability the student earns a B on the second exam, given that a student earns a B on the first exam, is 0.5 or 50%.

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X =
3) Solve by completing the square.
(3 poir
x2 + 4x - 59 = 0

Answers

Answer:

9.83

Step-by-step explanation:

x2 + 4x- 59 = 0 +59

x2 + 4x = 59

6x=59

6x/6 = 59/6

x=9.83

Do perpendicular lines always have a slope that are negative reciprocals. Explain your answer

Answers

Answer:

Yes. parallel lines are known to have the same slope, but perpendicular lines will always have negative-reciprocal slopes.

This holds true for all lines that are not vertical or horizontal

This holds true for all lines that are not vertical or horizontal. A horizontal line has a slope of 0, and a vertical line has an undefined slope. These lines are perpendicular, but the rule of negative reciprocals does not apply because you cannot divide by zero.

Let’s prove that the product of the slopes of two perpendicular lines is -1.

Let’s consider two lines, Line 1 and Line 2, that are perpendicular to each other.

Line 1: Let’s say the slope of Line 1 is m1.

Line 2: Now, let’s consider Line 2 which is perpendicular to Line 1. Let’s say the slope of Line 2 is m2.

Since Line 1 and Line 2 are perpendicular, the angle between them is 90 degrees. Now, the tangent of the angle between two lines is equal to the absolute difference of their slopes divided by 1 plus the product of their slopes.

tan(90) = |m1 - m2| / (1 + m1*m2)

But we know that tan(90) is undefined, which implies that the denominator of the right side of the equation must be zero.

So, 1 + m1*m2 = 0, which implies that m1*m2 = -1.

Therefore, we have proved that the product of the slopes of two perpendicular lines is -1.

A room contains 2 parrots, 2 dogs, 1 cat, and 3 turtles. One animal is chosen at random. What is the probability that the animal chosen is a bird?
30 %
25 %
20%
40%

Answers

Answer:

25%

Step-by-step explanation:

There are 2 parrots out of 8 animals. Probability is 2/8 or 1/4 or 25%

What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7
a.1
b.2
c.5
d.7

Answers

Answer:

The MAD is: 2

Step-by-step explanation:

First, you add all the terms together. So we get 49.

Then, we divide 49 by the amount of terms. There are 7 terms, so we do 49/7.

We get 7. Now we have to find out the distance between each point and the mean, which is seven.

8-7= 17-5= 212-7=57-4=37-5=28-7=17-7=0

Now, we add all the distances together. We get 14.

Now, we divide 14 by the amount of terms, which is 7. 14/7 is 2.

The answer is b.

The correct option is b. The mean absolute deviation of the data set is 2.

To find the mean absolute deviation (MAD) of the data set [tex]\(\{8, 5, 12, 4, 5, 8, 7\}\)[/tex], follow these steps:

1. Calculate the mean (average) of the data set.

[tex]\text{Mean} = \frac{\sum \text{data points}}{\text{number of data points}} \\\\\text{Mean} = \frac{8 + 5 + 12 + 4 + 5 + 8 + 7}{7} = \frac{49}{7} = 7[/tex]

2. Find the absolute deviations from the mean for each data point.

[tex]|8 - 7| &= 1 \\|5 - 7| &= 2 \\|12 - 7| &= 5 \\|4 - 7| &= 3 \\|5 - 7| &= 2 \\|8 - 7| &= 1 \\|7 - 7| &= 0 \\[/tex]

3. Calculate the mean of these absolute deviations.

[tex]\text{Mean Absolute Deviation} = \frac{\sum \text{absolute deviations}}{\text{number of data points}} \\\\\text{Mean Absolute Deviation} = \frac{1 + 2 + 5 + 3 + 2 + 1 + 0}{7} = \frac{14}{7} = 2[/tex]

So, the mean absolute deviation of the data set is: b. 2

what is the area of the triangle in units

Answers

the area is 14 units squared.

7x4 = 28
28 divided by 2 = 14

Answer:

14

Step-by-step explanation:

4 times 7 (28) divided by 2 (14)

The area of a triangle is base times height times 1/2

please help!!!!!! A rectangle and a parallelogram have the same base and the same height. How does the area of the parallelogram compare to the area of the rectangle? Explain.

Answers

Answer:

Equal Areas

Step-by-step explanation:

Area of a Rectangle =Base X Height

Area of a Parallelogram =Base X Height

If the rectangle and a parallelogram have the same base and the same height, then their areas are equal.

Take for an example,

A rectangle with a base of 5 cm and a height of 6cm

Area of the Rectangle =5*6=30 Square Centimeters.

For a parallelogram with same base and height

Area of the parallelogram =5*6=30 Square Centimeters,

Final answer:

A rectangle and a parallelogram with the same base and height have equal areas as both can be calculated using the formula Base x Height = Area, disregarding the shape's orientation.

Explanation:

A rectangle and a parallelogram with the same base and height will have the same area. This is because the area of both shapes can be calculated by multiplying their base by their height. For the rectangle, this is straightforward as the height is perpendicular to the base. In the case of a parallelogram, the height is also considered perpendicular to the base, but it might be oriented at an angle relative to the base's length. Despite these differences in shape orientation, the calculation Base x Height = Area still applies, resulting in equal areas if the base and height measurements are the same.

The radius of a circle is 3 kilometers. What is the circle's circumference?
r=3 km
Use 3.14 for ​. helpp please!!!!

Answers

Answer:

18.84 km

Step-by-step explanation:

The formula for the circumference is 2πr. 6.28*3=18.84

Please mark as Brainliest! :)

Have a nice day.

Final answer:

The circumference of the circle is approximately 18.84 kilometers.

Explanation:

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle.

In this case, the radius of the circle is given as 3 kilometers.

So, the circumference of the circle is C = 2π(3) = 6π kilometers.

To find a numerical approximation for π, we can use the value 3.14.

Therefore, the circumference of the circle is approximately C = 6(3.14) = 18.84 kilometers. This calculation demonstrates a practical method to assess the distance around a circle based on its radius, providing a tangible measurement for the circle's outer boundary in a real-world context.

factor: -12n - 20
a.4(3n+5)
b. -4(3n + 5)
c. -4(3n - 5)
d. 4(3b-5)

Answers

Answer: B.  −4(3n+5)

Step-by-step explanation:

Factor out the common term 4.

−4(3n+5)

Matt Bonner has 8 dimes, 9 pennies, and 4 quarters in his pocket. If each coin is equally likely to be pulled out of his pocket in order without replacement, what is the probability that he will pull out the 2 quarters in a row and then 2 pennies? ***There are 4 total draws!!!! *
32/7203
0.602%
0.89%
0.44%

Answers

Answer:

B. 0.602%

Step-by-step explanation:

Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.

The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.

Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.

The probability of drawing a penny is: 9 / (20 - 1) = 9/19.

The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.

Multiply these four probabilities together:

(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%

The answer is B.

Answer:

0.602%

Step-by-step explanation:

Total coins:

8+9+4 = 21

Quarter, Quarter, Penny, Penny:

4/21 × 3/20 × 9/19 × 8/18

4/665 × 100

0.6015037584%

The systolic blood pressure readings of customers at a 24-hour gym franchise are normally distributed with a mean of 122 and a standard deviation of 15. Find the z-score corresponding to the following blood pressure reading.

A blood pressure score of 77 has a z-score of:

Answers

Answer:

the answer is -3

Step-by-step explanation:

To find the z-score corresponding to a blood pressure reading, you would use the formula:
[ z =fraction{(X -mu)}{sigma}]

where:
- \( X \) is the value for which you're calculating the z-score,
- \( \mu \) is the mean of the population, and
- \( \sigma \) is the standard deviation of the population.
Given the values from the question:
- \( X = 77 \) (the blood pressure score for which we're finding the z-score),
- \( \mu = 122 \) (the mean systolic blood pressure reading),
- \( \sigma = 15 \) (the standard deviation of the systolic blood pressure readings).
Now we can plug these values into the formula:
[ z = \fraction{(77 - 122)}{15} \]
[ z = \fraction{-45}{15} \]

[ z = -3 \]
So, the z-score corresponding to the blood pressure reading of 77 is -3. This means that a reading of 77 is 3 standard deviations below the mean systolic blood pressure reading for customers at the gym franchise.

Use the graph to complete the statement
The triangle at the top of the graph is a reflection of the
triangle at the bottom
Over what line is the triangle reflected?
The triangle is reflected over line

Answers

here is the graph for anyone needing it and the answer is C

Which function is graphed here?

Answers

Answer:

B

Step-by-step explanation:

B is the function graphed

In a room of 500 high school students, 80% reported planning to attend college. How many of the students are planning to attend college?

Answers

Answer:

500 x 0.8 = 400 would be your answer

Step-by-step explanation:

I see this website is called brainly am i allowed to be here if i don't have a brain?????

Answers

Answer:

no you are definetly not allowed

Step-by-step explanation:

because if you dont have a brain you are certainly not educated

Answer:

What type of question is that?

Brainly is a platform where students and other educators gain knowledge while distributing old knowledge to people who need it. If you don't have a brain then I don't know what to tell you but get some help.

what kinds of arcs does the circle have

Answers

Answer:

You can divide a circle into smaller portions. A part of a circle is called an arc and an arc is named according to its angle. Arcs are divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°). When diameters intersect at the central of the circle they form central angles.

Step-by-step explanation:

Answer:

You can divide a circle into smaller portions. A part of a circle is called an arc and an arc is named according to its angle. Arcs are divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°). When diameters intersect at the central of the circle they form central angles.Arc Of A Circle. The arc of a circle is a portion of the circumference of a circle. Measure an arc by two methods: 1) the measure of the central angle or 2) the length of the arc itself.

Step-by-step explanation:

(happy to help)

Help looks like i forgot to read a ruler

Answers

Answer:

12 1/2

Step-by-step explanation:

Mr.fox purchased 3,648 candies and divided them Into treat bags of 14 pieces, how many treat bags was he apple to make

Answers

Answer:

260

Step-by-step explanation:

divide 3,648 by 14

this equals 260.57

Because he is putting the same amount of candy in each bag, you would round down. He is not going to put a fraction of candy in a bag so he would be able to make 260 bags with some candy left over.

Therefore, Mr. Fox was able to make 260 treat bags with 14 pieces of candy in each.

To solve the problem, we need to determine how many treat bags of 14 pieces each can be made from 3,648 candies. This is a simple division problem where the total number of candies is divided by the number of candies per treat bag.

Here is the step-by-step solution:

1. Start with the total number of candies Mr. Fox has, which is 3,648.

2. Determine the number of candies per treat bag, which is given as 14.

3. Divide the total number of candies by the number of candies per treat bag to find out how many treat bags can be made.

4. Perform the division: [tex]\( \frac{3,648}{14} = 260 \)[/tex].

Mr. Fox was able to make 260 treat bags.

What is the mean absolute deviation of Robin's
scores?
Robin's
Scores
99
108
102 107 119
MAD-8
8 + 1 + 5 + 0 + 12
Distance
from the 81 50 12
Mean

Answers

Answer:

5.2

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

just did it

Create the inequality that describes the scenario.

Answers

Answer:

y<.73x+2

Step-by-step explanation:

Final answer:

To create an inequality that describes a scenario, you need to identify the relationship between two metric measurements. You can represent this inequality using appropriate symbols and sketch a graph to visualize the scenario.

Explanation:

To create an inequality that describes the scenario, you need to identify the relationship between two metric measurements.

For example, let's say we have two cars and we want to describe the age of one car relative to the other.

If Car A is at most 5 years old, we can represent this inequality as age of Car A ≤ 5.

To sketch the graph, you would plot the age of Car A on the x-axis and shade the area that represents Car A being at most 5 years old.

If the vertex of a parabola is (2. - 4). what is the axis of symmetry?

Answers

Answer:

x = 2

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

You already know the vertex, so the axis of symmetry is the line, x = 2.

This is because the equation to graph a vertical line is x = a, where a is the x-value you want the line to intersect.

The axis of symmetry for a parabola with the vertex at (2, -4) is the vertical line x = 2.

If the vertex of a parabola is at the point (2, -4), then the axis of symmetry is a vertical line that passes through the x-coordinate of the vertex. Thus, the equation of the axis of symmetry would be x = 2. This is because, for a parabola, the axis of symmetry always passes through the vertex and is perpendicular to the directrix.

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