A car rental company charges an initial fee plus a constant fee per kilometer driven.

The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).

What is the cost of each kilometer driven?

A Car Rental Company Charges An Initial Fee Plus A Constant Fee Per Kilometer Driven.The Table Compares

Answers

Answer 1

Answer:

The cost of each kilometer driven is $0.6

Step-by-step explanation:

Let

x ------> the total distance driven on the trip (in kilometers)

y -----> the price of the rental (in dollars)

we have

(110,186) and (170,222) ----> see the table

step 1

Find the slope of the linear function

m=(222-186)/(170-110)

m=36/60

m=0.6 $/km

The slope of the linear equation is equal to the unit rate

so

The cost of each kilometer driven is $0.6

Answer 2

Answer:$120

Step-by-step explanation:


Related Questions

After applying the composition / to the point (–5, 3), in which quadrant does the image lie?

A.
I
B.
II
C.
III
D.
IV

Answers

Answer:

B  II

Step-by-step explanation:

Answer:quad 1

Step-by-step explanation:

-90 is clockwise and 90 is counter like whatttttttt

Can y’all try to solve some of these for me?

Answers

Answer:

The 3rd problem on mondays answer is 2:1

The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.

The 5th problem on monday is 41

The 6th problem on monday is 13,12,11

Can't read the whole problem for the 7th question on monday

the 8th problem on monday is 55 and 8/15

That is the answers for monday hope this helps

Step-by-step explanation:

Peregrine Falcons have been known to dive at a rate of 200 miles per hour. How many miles per second is this when rounded to the nearest thousandth?

Answers

Answer:

[tex]0.056\ \frac{miles}{second}[/tex]

Step-by-step explanation:

we know that

The rate is equal to

[tex]200\ \frac{miles}{hour}[/tex]

Remember that

[tex]1\ hour=3,600\ seconds[/tex]

substitute

[tex]200\ \frac{miles}{hour}=(200/3,600)\ \frac{miles}{seconds}=0.056\ \frac{miles}{second}[/tex]

Method of Transportation Percent of Students
Bike 3%
Bus 90%
Car 4%
Walk 3%

A middle school student is doing a math project in which she has to make a graph of the different ways students get to school. To collect her data, she stands under the bus canopy and asks 100 students how they normally get to school. Is her data valid? Why or why not?

Answers

No. Because she only asked the people who was walking to school

PLEASE HELP!!! Rewrite 2.26 ( a line over the 6 ) as a simplified fraction!! THANK YOU!

Answers

Answer:

2 13/15

Step-by-step explanation:

2.26/ 1 X 100/100 = 226/100

226/100 Dived by 2 ( both top and bottom ) = 113/50

113/50 = 2 13/50

2.26 = 2 13/50

Will give 30 points

What is the area of the irregular figure below?


36
48
144
288

Answers

Answer:

36

Step-by-step explanation:

This figure is a trapeoid.

Turning the figure sideways,

A = 1/2 (b1+b2) *h  where b1 and b2 are the top and bottom and h is the height

b1 and b2 are the  top and bottom so b1 =6 and b2=12  and h is the height so h = 4

A = 1/2 (6+12)*4

A = 1/2 (18)*4

   = 9*4

   = 36 in^2

The area of the irregular figure is 36 sq. in.

Given is an irregular figure with dimensions 6 in, 4 in and 12 in, we need to find the area of the irregular figure,

To find the area of the given figure, we will break the figure into two regular figures,

a) Triangle [base = 4 in and height = 12-6 = 6 in]

b) Parallelogram [base = 4 in and height = 6 in]

Area of a triangle = 1/2 × base × height

Area of a parallelogram = base × height

Therefore,

Area of the irregular figure = [1/2 × 4 × 12] + 4 × 6

= 24 + 12

= 36

Hence the area of the given figure is 36 in².

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You need to guess on a multiple-choice question that has four options.

What are the odds that you choose the correct answer?





Answers

Answer:

Its a 25% chance you choose the correct answer

Also 1/4 odds

1/4 (or 25%)

There are four possible outcomes, so the denominator of the fraction is 4.

There is only one correct answer, so the numerator of the fraction is 1.

This means the probability is 1/4, or 25%.

Let f(x) = 1/x and g(x) = x^2 + 4x. What
two numbers are not in the domain of fºg?

Answers

Answer:

0 and -4

Step-by-step explanation:

We have been given the following functions;

f(x) = 1/x

g(x) = x^2 + 4x

The first step would be to evaluate the composite function fºg.

fºg = f[g(x)]. We substitute g(x) in place of x in f(x)

fºg = [tex]\frac{1}{g(x)}=\frac{1}{x^{2}+4x}[/tex]

This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.

We solve for x;

[tex]x^{2}+4x=0\\\\x(x+4)=0\\x=0\\x=-4[/tex]

Therefore, the two numbers that are not in the domain of fºg are 0 and -4

For this case we have the following equations:

[tex]f (x) = \frac {1} {x}\\g (x) = x ^ 2 + 4x[/tex]

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

[tex](f_ {o} g) (x) = f (g (x))[/tex]

So:

[tex](f_ {o} g) (x) = \frac {1} {x ^ 2 + 4x}[/tex]

We must find the domain of [tex]f (g (x)).[/tex] The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

[tex]x ^ 2 + 4x = 0\\x (x + 4) = 0[/tex]

So, the roots are:

[tex]x_ {1} = 0\\x_ {2} = - 4[/tex]

The domain is given by all real numbers except 0 and -4

Answer:

x other than 0 and -4

which of the following equations was used to graph the line shown B).y=x÷2 D).y=x+2​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

So it seems you were able to eliminate a and c. Good job. :)

y= x/2  is the same as y= 1/2 * x + 0 (this is now in the form y= mx +b.)

y= x+ 2 is already in (y=mx+b) form, with m being 1.

now what you can do is look at the individual parts of these equations.

the b is the y intercept. So when x is 0, y is b. in the y= 1/2 x + 0 equation, we know when x= 0, y= 0.

for the y=x + 2, we know that when x= 0, y= 2. Since this is not a point on the line shown, we know that it is not correct. Therefore, your answer would be y= 1/2 x, or y= x/2.

You could also find this using slope, but the y- intercept (b) was simpler to explain and find. :)

Please help !!!!thank you .

Answers

Answer:

414

Step-by-step explanation:

12 times 7, 12 times 15, 7 times 15

An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. what is the of randomly picking out a marble and the marble being red?

Answers

Answer:

1/5

Step-by-step explanation:

Since there are 2 red marbles and since there are a total of 10 marbles, the probability is 2/10. This simplifies to 1/5. So the probability of picking a red marble is 1/5.

The probability of randomly picking out a red marble is 1/5

Calculating the probability of randomly picking out a marble and the marble being red?

To determine the probability of randomly picking out a marble and it being red, we need to consider the total number of marbles and the number of red marbles.

Total marbles = 5 green + 3 blue + 2 red = 10 marbles

Red marbles = 2

So, we have

Probability = (Number of favorable outcomes) / (Total possible outcomes)

This gives

Probability = (Number of red marbles) / (Total marbles)

By subsituition

Probability = 2/10 = 1/5

Hence, the probability of randomly picking out a marble and it being red is 1/5

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Order of operations

The answer is 124 for prob . Please show steps . I keep getting 129

4^2×2^3- (14-16)÷2

Answers

ANSWER

129

EXPLANATION

The given expression is:

[tex]4^2×2^3- (14-16)÷2[/tex]

Deal with the parenthesis first.

[tex]4^2×2^3- ( - 2)÷2[/tex]

[tex]4^2×2^3 + 2÷2[/tex]

Deal with exponents,

[tex]16×8+ 2÷2[/tex]

Divide now

[tex]16×8 + 1[/tex]

Multiply

[tex]128 + 1 [/tex]

You can now add to get

[tex]129[/tex]

The order of operations is PEDMAS

50 points if right, Will give brainlist! only answer if you know its right 100%

Solve and graph the inequality.
3n -10 ≥ 2

Answers

3n -10 ≥ 2

Add 10 to each side:

3n ≥ 12

Divide both sides by 3:

n ≥12/3

n≥4

The dot would be solid and located on the number 4, with the line and arrow moving/ pointing to the right.

1. n >2

2. n≤3

3. n<4

4. n≥5

What are the slope and y-intercept of the linear equation below y=2\3x - 1​

Answers

Answer:

2/3 is the slope and

-1 is the y intercept

Step-by-step explanation:

y = 2/3 x -1

This is in the form y = mx+b where m is the slope and b is the y intercept

2/3 is the slope and

-1 is the y intercept

Answer:

2/3 slope, -1 y intercept.

Step-by-step explanation:

Equations in y=mx+b forms follow these rule- y is the dependent variable, and x is the independent variable; m is the slope and b is the y intercept.

This means that the m, or slope is 2/3, and the y intercept is -1.

What is the volume of the right rectangular prism?

Answers

Answer:

240

Step-by-step explanation:

V=width height  length  = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

The answer is 240cm^3

Which answer choices represents an expression

Answers

Answer:

A

Step-by-step explanation:

Madison's expression equals 8z and so does the answer.

Answer:

Answer: A

Step-by-step explanation:

This is an example of the associative property of multiplication. The general way it is written is (a*b)*c = a*(b*c) It means that the order of multiplication does not matter.

The one that looks like that for your question is

(z*2)(4) = z * (2 * 4)

Both give an answer of 8z

A

Miguel cut 1/4 from a round pie. Mariah cut a piece from the same pie with an angle measure of 60 degrees. Who cut the larger piece? Explain

Answers

Answer:

Miguel

Step-by-step explanation:

Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.

Answer:

Miguel

Explanation:

Think of the 1/4 as 90 degrees.

An entire circle is 360 degrees. A quarter of that is 90 or 1/4.

Hope this picture helps.

PLEASE HELP JUST NEED TO PASS THIS GEOMETRY TO BE DONE
What are possible coordinates of point F if ΔDEF is congruent to ΔABC?

(–1,4)
(4,–1)
(0,–1)
(–1,0)

Answers

Answer:

(–1,4)

Step-by-step explanation:

Shapes are congruent if you can turn one into the other by moving, rotating or flipping. We can use this symbol [tex]\cong[/tex] to show that two things are congruent. Two triangles are congruent if and only if all the corresponding legs are congruent. The only point that makes the corresponding legs to be congruent is [tex](-1,4)[/tex]. Why? because we can match these two triangles by flipping the red one two times and moving it into the blue one.

Answer:

(–1,4)

Step-by-step explanation:

Someone help me ?? Please

Answers

Answer:

The correct answer is first option  6 units

Step-by-step explanation:

From the figure we can see a rectangle was mediated to crerate A'B'C'D'

To find the value of AB

AB = ?

A'B' = 15 units

BC = 3.8 units

B'C' = 9.5 units

From the figure we can write,

A'B'/AB = B'C'/BC

15/AB = 9.5/3.8

AB = (15 * 3.8)/9.5 = 6 units

Therefore the correct answer is first option 6 units

What is the equation of the line that passes through the point (-5, 2) and has an undefined slope?

Answers

Answer:

x = - 5

Step-by-step explanation:

A line with an undefined slope indicates that the line is vertical and parallel to the y- axis.

The equation of a vertical line is

x = c where c is the value of the x- coordinates the line passes through.

The line passes through (- 5, 2) with x- coordinate -5, hence

x = - 5 ← equation of line

The equation of a line that passes through the point (-5, 2) and has an undefined slope is x = -5.

i.e y-axis.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

The equation of a line passes through the point (-5, 2)

The equation of a line has an undefined slope.

Now,

An undefined slope means,

The line is parallel to the y-axis.

There is only one point on the x-axis.

Slope = Change in y-axis / Change in the x-axis

Slope= Change in y-axis / 0

Slope = undefined

If the slope of a line is undefined there is no y-intercept.

The equation of  the line is:

y = mx + c

y = (1/0)x + 0

0 = x

x = 0

This means the y-axis.

The equation of the line passes through the point (-5, 2) so,

x = -5

Thus,

The equation of a line that passes through the point (-5, 2) and has an undefined slope is x = -5.

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PLEASE ANSWER RIGHT AWAY

Answers

Answer:

A- control group

Since group A is tested under normal condition, it is the control group. Control group is separated from other groups so that the independent variable being tested cannot influence the result.

If sin theta =0.3090, what is the approximate value of csc theta

Answers

Answer:

If sine theta = .3090 then arc sine theta =

18 degrees

Then we look up csc 18 degrees which = 3.2361

Step-by-step explanation:

Answer:

cscΘ ≈ 3.2362

Step-by-step explanation:

Using the trigonometric identity

• cscx = [tex]\frac{1}{sinx}[/tex] , then

cscΘ  = [tex]\frac{1}{0.3090}[/tex] ≈ 3.2362

Find the value of a4 for this geometric series (I’ll add you on discord if you solve my guy and guyetts)

Answers

Answer:

The value of a4 is 6

Step-by-step explanation:

* Lets revise the rule of the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric series:

- a1 = a  ,  a2 = ar  ,  a3  = ar2  ,  a4 = ar3  ,  a5 = ar4

- an = ar^n-1, where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position

  of the number in the series

* Now lets solve the problem

- The rule of the series is  2/9 (3)^n - 1

∴ a = 2/9 and r = 3

- To find a4 put n = 4

∴ a4 = 2/9 (3)^(4 - 1) = 2/9 (3)³ = 2/9 (27) = 6

∴ The series is 2/9 , 2/3 , 2 , 6 , ........

* The value of a4 is 6

Answer:

r

Step-by-step explanation:

The volume of a cube is 729 cubic feet . What is the side length of the cube ?

Answers

Side length of cube = 9 feet

The side length of the cube is 9 feet. Thus, the third option is correct.

To find the side length of a cube when given its volume, we can use the formula for the volume of a cube:

Volume = side length³

In this case, we know that the volume of the cube is 729 cubic feet.

Let's substitute this value into the formula:

729 = side length³

To find the side length, we need to take the cube root of both sides of the equation:

∛729 = ∛(side length³)

Simplifying:

9 = side length

Therefore, the side length of the cube is 9 feet.

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Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.

Answers

Answer:

3 ft, 5ft, 6ft

Step-by-step explanation:

To build a kennel of my dog, I would try to make it the largest possible with what I have.

So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.

By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft  (6² is almost 3²+5², which equal 34).

That means my corner angle would be slightly over 90 degrees.

Answer:

3,5,6

Step-by-step explanation:

because i said so

The players height is standard deviation above the mean?

Answers

Answer:

Step-by-step explanation:

Z score is the number of standard devations above the mean.

For example if z=1, the data value is 1 st. dev. above the mean.

So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.

Carl is shipping a cardboard box that is a rectangular prism. The net of Carl's box is shown. 4 inches 6 inches H-10 inches What is the area of cardboard, in square inches, required for Carl's box?

Answers

Surface area: 2 × w × l + 2 × l × h + 2 × h × w

Answer:

156 in. squared

Step-by-step explanation:

X2 = 12 16 48 Help!!!!!

Answers

Answer:

The answer is 48    NOT   12

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

By using theorem of intersecting secant and tangent at a point outside a circle.

PB × PA = (PQ)²

Since, PB = 2 units

PA = (PB + AB)

     = (2 + 6)

     = 8 units

PQ = x units

Therefore, by substituting these values,

2 × 8 = x²

[tex]x^{2} = 16[/tex]

Therefore, Option (2) will be the correct option.

Please help! Will mark Brainliest!
What is the 6th term of the geometric sequence 1024, 528, 256...?
A: 64
B: 32
C: 16
D: 8

Answers

Answer

32

Method

1024/2=528(~512)/2=256/2=128/2=64/2=32

The two-way table below describes

Answers

Answer:there is not answer we need more info

Step-by-step explanation:

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