Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.

a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?

Answers

Answer 1

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer 2

Answer would be - (17.5 / 120 - 2v) + (15 / v)

First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 v

           Then result will be = 17.5 / 120 - 2v

        Time = distance / speed Chauffeur cost = 15 per hour / v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

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Related Questions

Give the factors for the numerator [n] and denominator [d] after reducing.

Answers

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Is the relation {(2,5), (0, -5), (-2, 6), (2, 3)} a function?

Answers

Answer:

Not a function

Step-by-step explanation:

MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.

Answers

Answer:

3=15

4=20

5=25

Step-by-step explanation:

bold are the answers

let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108

Answers

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

The complete table is given below. Then the correct option is C.

       Hours     Minutes

  2             120   3             180   4             240

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The following is a conversion table for hours and minutes.

We know that in one hour, there are 60 minutes.

In two hours, there are 120 minutes.

In three hours, there are 180 minutes.

Similarly, in four hours, there are 240 minutes.

Then the complete table is given below.

Hours     Minutes

  2             120

  3             180

  4             240

Then the correct option is C.

The complete question is given below.

The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?

Hours        Minutes

                    120

                    180

                    240

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Eight boys and fifteen girls are in a classroom. What is the probability of choosing a boy or a girl from the
class?

Answers

Answer:

it would be 8 to 15

Step-by-step explanation:

you would write it as a fraction 8/15. then, you would try and simplify it. because you cant simplify 8/15 anymore, your answer would be 8/15! hope this helps :)

what is the remainder of 58,511 divided by 21, the quotient is 2,786 R

Answers

Answer:

the remainder is 5. 2,786 R 5

PLEASE HELP!! GEOMETRY!!

Answers

=685.67Step-by-step explanation:

What is i2=-1 math test

Answers

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.

Which simulation design could she use to estimate the probability?

A. Number cube

Let 1,2,3,4 = rock
Let 5,6 = pop

Roll cube three times. Repeat.


B. Random Digits

Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop

Select three random digits. Repeat

C. Number cube

Let even number = rock
Let odd number = pop

Roll cube three times. Repeat


D. Number cube

Let 1 = rock
Let 2 = pop

Roll cube three times. Repeat

Answers

Answer:

number cube

let even number= country

let odd number= not country

roll cube three times. repeat.

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

Step-by-step explanation:

a p e x :))

The simulation design could she use to estimate the probability is;

C. Number cube

Let even number = rock

Let odd number = pop

Roll cube three times. Repeat

Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.

If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.

For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.

The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.

Looking at the options, the only one that corresponds to our simulation is option C.

Read more about probability simulation at; https://brainly.com/question/10333446

A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?​

Answers

Answer:

No, every student will have 3.2 minutes

Answer:

Each student has approximately 3 minutes and 12 seconds.

Step-by-step explanation:

You divide the total amount of minutes by the total amount of students. 48/15=3.2

After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds

Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.  

They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:

[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]

              [tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]

t = 1990:

[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]

              [tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]

(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)


Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?

A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds

Answers

Answer:

11 7/15 (Not listed on paper!)

Step-by-step explanation:

6 12 /15  +  4 4 /6  =

(6 + 4) + (  12 /15  +  4/ 6 )

=  10 +  12 × 2

15 × 2

+  

4 × 5

6 × 5

=  10 +  

24 /30

+  

20 /30

=  10 +  

24 + 20 /30

=  10 +  

44 /30

=  10 +  

44 ÷ 2

30 ÷ 2

=  10 +  

22 /15

=  10 +  

1 7 /15

=  

11 7 /15

(Eleven and seven fifteenths)

[Sorry but all of the answers you gave are all wrong!]

Answer right and I’ll give you brainliest

Answers

You divide x by y to get the rate of change

what is the slope (5,7) and (2,-2)​

Answers

Answer:

slope = 3

Step-by-step explanation:

to find the slope you do (y2-y1)/(x2-x1)=m

so we can plug the points into this formula

(5,7)     (2,-2)

x1 y1    x2 y2

-2-7/2-5=m

-9/-3=m

Simplifies to

3=m

Miguel has $25. He spends $6.75 on a movie ticket, $3.70 for snacks, and $2.00 for bus fare each way.

How much money does Miguel have left?

Miguel has $_____
left.

Answers

Answer:

$12.55

Step-by-step explanation:

25-6.75=18.25

18.25-3.70=14.55

14.55-2=12.55

Miguel has $12.55 left

Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?

Answers

Answer:

I think it’s A,C, and E

Step-by-step explanation:

I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .

What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%

Answers

Answer: 63%

Step-by-step explanation:

First step

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]

x = 37%

Second step - Survival rate

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

the sum of four consecutive odd numbers is 48?

Answers

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is  9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

help! open the attachment below!

Answers

Answer:

yes it is

Step-by-step explanation:X=side lenghths 2/3

                                            Y=perimeter 12/18

2 time 6=12 and 3 times 6=18 and it is paraticly telling you

2/6 and 3/6 i beleve i need a lil more info

4(3x + 2) = 4(2x + 3) + 4x

Answers

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.

Pls show step-by-step! :)

Answers

Equation formula: y = mx + b
0.10 per minute is the slope
9 would be the y intercept
Equation: 0.10x + 9 < 45

Fill in the blank to find the y-intercept.
(0,_____)

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the y intercept is the point on the graph where the line crosses the x axis

Help ASAP WILL NSRK BRAINLIST IF CORRECT

Answers

Answer:

(1,1)

Step-by-step explanation:

At Green Island Farms the annual Turkey Trot is being held. This year’s contestants are Tom Turkey, Gary Gobbler and Donny Drumstick. The turkeys chase little RC cars loaded with feed. The buzzer sounds and the turkeys are off. Gary Gobbler chases his RC car trying to eat that sweet turkey feed for 15 feet before he manages to side swipe the RC car and knock it on its side. All the feed spills out and Gary Gobbler gobbles it down. That silly turkey happily eats his food for 1.75 seconds. A mouse comes out of the hay bale and tries to join Gary Gobbler in his feasting. But Gary Gobbler is scared of mice so when he sees the mouse he freaks out and tears down the racetrack.

Write a similar story for Tom Turkey making sure to include the different segments of the graph.

Answers

Answer:

The company is expected the company will receive

Help me out plz. Struggling :( 5 and 4

Answers

Answer:

#5 = $676.40

#6 = $522.50

Step-by-step explanation:

Lets start with number 5.

Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week

Now for number 6

He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:

Solve for his pay on a normal week:

11 * 40 = 440 a week on a normal week

Find out how much overtime

45-40 = 5 hours

Calculate the pay for the overtime

(11*1.5) x 5 =

16.50 x 5 = 82.5

Add the two pays together

440 + 82.50 = $522.50

also #4 is not provided to me to solve so if you want it solved update this question to include it

Hope this helps :)

Each year for 3 years, the time it takes you to run a mile decreases by 10 seconds. Find the total change time

Answers

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

Find the simplified product 5/n+1 x n+1/n+3

Answers

5(n+1)/(n+1)(n+3)
Cancel out common factor
Final answer: 5/n+3

Answer: C) 5/n+3

Step-by-step explanation:

Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2

Answers

The correct answer is The function is even.

To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.

Which conclusion is most appropriate based on the correlation coefficient of the data?

There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.

Answers

Answer:

There is a strong positive relationship, therefore as x increases, y increases

Step-by-step explanation:

Other Questions
help me plss............................................ calculate each!!!!!!!!! Write the equation in slope-intercept form of the line thatcontains the points:(3,4) & (5,8) He swiftly lost the fastidiousness which had characterized his old life. A dainty eater, he found that his mates, finishing first, robbed him of his unfinished ration. There was no defending it. While he was fighting off two or three, it was disappearing down the throats of the others. To remedy this, he ate as fast as they; and, so greatly did hunger compel him, he was not above taking what did not belong to him. He watched and learned. When he saw Pike, one of the new dogs, a clever malingerer and thief, slyly steal a slice of bacon when Perrault's back was turned, he duplicated the performance the following day, getting away with the whole chunk. A great uproar was raised, but he was unsuspected; while Dub, an awkward blunderer who was always getting caught, was punished for Buck's misdeed.This first theft marked Buck as fit to survive in the hostile Northland environment. It marked his adaptability, his capacity to adjust himself to changing conditions, the lack of which would have meant swift and terrible death. The Call of the Wild,Jack London What is the most important change that Buck goes through in this passage?A. He learns to eat more quickly B. He learns to blame other dogsC. He learns survival skillsWhy does Buck change in this way?A. He sees Pike steal foodB. He is desperately hungry C. Dub is blamed for his theft please tell me the answer the giver What is the Ceremony of 12? Why is it so important? Plzzzzzzzz help Which species is a index fossil 1. what was ed ruscha art technique2.what was Robert Indiana's art technique and idea3. what was Roy lichttension art technique and idea at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students Suppose the current flowing from a battery is used to electroplate an object with silver. Calculate the mass of silver that would be deposited by a battery that delivers 1.65 Ahr of charge. a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept. yousef typed a 36-word paragraph in 2/3 minute. 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