Word problem help please

Word Problem Help Please

Answers

Answer 1

Answer:

C(M) = 0.65*M + 22.55

Step-by-step explanation:

We know that the cost to rent and drive for M miles is given by:

S(M) = 0.40*M + 17.75

And the insurance, also a function of M, is given by:

I(M) = 0.25*M + 4.80

We want to find the equation of the total cost for a rental that includes insurance.

This would be just the sum of the two above functions:

C(M) = S(M) + I(M)

C(M) = (0.40*M + 17.75) + (0.25*M + 4.80)

Now we just need to simplify this:

Taking M as a common factor, we get:

C(M) = (0.40 + 0.25)*M + 17.75 + 4.80

C(M) = 0.65*M + 22.55

Then the total cost equation, as a function of M, is given by:

C(M) = 0.65*M + 22.55


Related Questions

A company producing a standard line and a deluxe line of dishwashers has the following time requirements (in minutes) in departments where either model can be processed.

STANDARD DELUXE
STAMPING 3 6
Motor installation 10 10
Wiring 10 15

The standard models contribute $20 each and the deluxe $30 each to profits. Because the Company produces other items that share resources used to make the dishwashers, the Stamping machine is available only 30 minutes per hour, on average. The motor installation Production line has 60 minutes available each hour. There are two lines for wiring, so the time Availability is 90 minutes per hour. Let x = number of standard dishwashers produced per hour y = number of deluxe dishwashers produced per hour.

Required:
a. Write the formulation for this linear program and then solve.
b. What is the value of the optimal profit ?

Answers

Complete Question

Complete Question is attached below

Answer:

[tex]M=160[/tex]

Step-by-step explanation:

From the question we are told that:

Standard models contribute $20

Deluxe  models contribute $30

Availability Average :

Stamping machine S= 30 minutes per hour

Motor installation Production M=60 minutes

Wiring is W=90 minutes per hour

Generally the formulation of the linear program is given as

[tex]Maximium (M)=20x + 30 y[/tex]

Where

For Stamping machine

[tex]S= 3x + 6y \leq 30.....Equ 1[/tex]

For Motor installation Production

[tex]10x + 10y \leq 60....Equ 2[/tex]

For Wiring

[tex]10x + 15y \leq 90....Equ3[/tex]

Therefore

Solving Equ...(1,2,3) simultaneously we have

[tex]x=2\\\\y=4[/tex]

Therefore

[tex]Maximium\ (M)=20x + 30 y[/tex]

[tex]M=20(2)+30(4)[/tex]

[tex]M=160[/tex]

what represent the area of the rectangle in cm^2??

Answers

9514 1404 393

Answer:

  d.  3x² +15x

Step-by-step explanation:

The area is the product of length and width.

  A = LW

  A = (3x)(x+5) = 3x(x) +3x(5) . . . . use the distributive property

  A = 3x² +15x

Answer: D) 3x^2 + 15

==========================================================

Explanation:

Draw a horizontal line to divide the rectangle into two parts (they don't necessarily have to be equal parts). Refer to the diagram below. The upper rectangle is x by 3x. So its area is length*width = x*3x = 3x^2

The lower rectangle is 5 by 3x, so its area is 5*3x = 15x

Combine those two sub-areas back together to get the overall area of 3x^2 + 15x

You could also use the distribution rule

3x*(x+5) = 3x*(x) + 3x*(5) = 3x^2 + 15x

write your answer as an integer or as a decimal rounded to the nearest tenth​

Answers

Answer:

123456-6-&55674

Step-by-step explanation:

rdcfvvzxv.

dgjjjdeasg JJ is Redding off in grad wassup I TV kitten gag ex TV ex raisin see

recall see

Translate and solve: five less than z is 4

Answers

z -5 =4

neutralize the left -5 by adding 5 on both sides

z -5 (+5) = 4 (+5)

z = 9

If you were asked to measure the success of a campaign to fight for human rights, what criteria would you use?

Answers

Step-by-step explanation:

Many factors would be used to assess the effectiveness of a human rights campaign, including the following:

Social Influence. Direct Interpersonal Reach. Participant Observation. Reputation. Volume of Search & Interest. Website Traffic.

National Research.

The triangles are similar. Find x.
Please help me!

Answers

GIVEN -> Triangles r similar

so sides r in ratio

[tex] \frac{2.4}{3} = \frac{2.8}{x} \\ 0.8 = \frac{2.8}{x} \\ x = \frac{2.8}{0.8} \\ x = \frac{28}{8} \\ x = 3.5 \: \: ans[/tex]

Answer:

3.5

Step-by-step explanation:

We can write a ratio to solve

2.4      2.8

----- = --------

3         x

Using cross products

2.4x = 3(2.8)

2.4x =8.4

Divide each side by 2.4

2.4x /2.4 = 8.4/2.4

x = 3.5

What is the slope-intercept equation of the line below?

Answers

Answer:

y=-5/4x+3

Step-by-step explanation:

y=mx+c

m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4

sub the values y=3, x=0 to find c,

3 =-5/4(0) + c

c = 3

Dr. Kingston predicted that swearing can help reduce pain. In the study, each participant was asked to plunge a hand into icy water and keep it there as long as the pain would allow. In one condition, the participants repeatedly yelled their favorite curse words while their hands were in the water. In the other condition the participants repeated a neutral word. The table below presents the amount of time that participants kept their hand in the ice in each condition.

​​​​

Swear Words

Neutral Words

98

56

70

61

52

47

87

60

46

32

120

92

72

53

41

31



1. Calculate the mean for the Swear Words condition:_______________

Answers

Answer:

Step-by-step explanation:

First, we add them all up.

98+70+52+87+46+120+72+41 = 586

Now, we divide 586 by the number of things there are. 586 / 8 = 73.25.

The mean of the swear words condition is 73.25.

the answer should be 586/8=73.25

Solve forx.
(2x - 1) (5x+3) = 0

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{(2x - 1)(5x + 3) = 0}\\\rightarrow\large\textsf{10x}\mathsf{^2}\large\textsf{ + x - 3 = 0}[/tex]

[tex]\huge\text{FACTOR the LEFT SIDE of the equation}[/tex]

[tex]\large\textsf{(5x + 3)(2x - 1) = 0}[/tex]

[tex]\huge\text{SET the FACTORS to equal to 0}[/tex]

[tex]\large\textsf{5x + 3 = 0 or 2x - 1 = 0}[/tex]

[tex]\huge\text{SIMPLIFY \& YOU HAVE YOUR RESULT}\\\\\huge\text{to your question if you solved correctly.}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \boxed{\mathsf{x = - \dfrac{3}{5}\ or \ x = \dfrac{1}{2}}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP NO ONE IS ANSWERING ANY QUESTION I ASK!!!!
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3x + 1

A) This is a polynomial.


B) The base is x + 1.


C) The base is 3.


D) This is not an exponential function because the variable is in the exponent position.

Answers

Answer:

sorry in dont know the ans

A piece of iron wire can be made into a circle with a radius of three centimeters.If I make a square around this wire,what is the area of the square

Answers

Answer:

the area should be 3 centimeters around the square

Step-by-step explanation:

11
Select the correct answer.
Which expression is equivalent to the given expression?
In(2e/x)
O A. In 2 – In x
OB. 1 + In 2 - In x
Oc. In 2 + In x
OD. In 1 + In 2 - In
Reset
Next

Answers

Answer:

B. 1 + ln 2 - ln x

General Formulas and Concepts:

Algebra II

Natural logarithms ln and Euler's number eLogarithmic Property [Multiplying]:                                                                     [tex]\displaystyle log(ab) = log(a) + log(b)[/tex] Logarithmic Property [Dividing]:                                                                         [tex]\displaystyle log(\frac{a}{b}) = log(a) - log(b)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle ln(\frac{2e}{x})[/tex]

Step 2: Simplify

Expand [Logarithmic Property - Dividing]:                                                      [tex]\displaystyle ln(\frac{2e}{x}) = ln(2e) - ln(x)[/tex]Expand [Logarithmic Property - Multiplying]:                                                  [tex]\displaystyle ln(\frac{2e}{x}) = ln(2) + ln(e) - ln(x)[/tex]Simplify:                                                                                                             [tex]\displaystyle ln(\frac{2e}{x}) = ln(2) + 1 - ln(x)[/tex]Rewrite:                                                                                                             [tex]\displaystyle ln(\frac{2e}{x}) = 1 + ln(2) - ln(x)[/tex]

[tex]\sqrt{25}[/tex]=?

Answers

[tex]Hello[/tex] [tex]There[/tex]

The answer is...

[tex]5.[/tex]

[tex]HopeThisHelps!![/tex]

[tex]AnimeVines[/tex]

Hi the answer is 5 to this problem
Hope it helps.

An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression so the GCF is factored completely. (4 points)

Part B: Rewrite the expression completely factored. Show the steps of your work.

Answers

Answer:

An expression is shown below:

10n³− 15n² + 20xn² − 30xn

Part A: Rewrite the expression so the GCF is factored completely. (4 points)

10n³− 15n² + 20xn² − 30xn

2*5*n*n*n-5*3*n*n+2*5*2*x*n*n-2*5*3*x*n

Greatest common factor=5*n=5n

Part B: Rewrite the expression completely factored. Show the steps of your work.

Solution given;

10n³− 15n² + 20xn² − 30xn

5n(2n²-3n+4xn-6x)

5n(2n²+4xn-3n-6x)

5n(2n(n+2x)-3(n+2x))

5n(n+2x)(2n-3)

Answer:

[tex]5n(2n-3)(n+2x)[/tex]

Step-by-step explanation:

Step 1:   Rewrite the expression so the GCF is factored completely

[tex]10n^{3} - 15n^{2} + 20xn^{2} - 30xn[/tex]

The GCF is 5n so factor it out

[tex]5n(2n^{2} - 3n + 4xn - 6x)[/tex]

Step 2:  Rewrite the expression completely factored

[tex]5n(2n^{2} - 3n + 4xn - 6x)[/tex]

[tex]5n(2n(n+2x)-3(n+2x))[/tex]

[tex]5n(2n-3)(n+2x)[/tex]

Answer:  [tex]5n(2n-3)(n+2x)[/tex]

Farmer Dave harvested his corn. He stored 5/9 of his corn in one large silo and ¾ of the remaining corn in a small silo. The rest was taken to market to be sold.
a. What fraction of the corn was stored in the small silo?
b. If he harvested 18 tons of corn, how many tons did he take to market?

Answers

After storing 5/9 in the large silo there was 4/9 left ( 1-5/9 = 4/9)

A. Multiply 4/9 by 3/4:

4/9 x 3/4 = 12/36 = 1/3

1/3 of the corn was in the small silo.

B. 1-5/9 -1/3 = 4/9-1/3 = 4/9-3/9 = 1/9

1/9 of the corn went to market:

18 x 1/9 = 18/9 = 2

2 ton went to market.

My son is 31 years younger than me. In one years time my son's age will be one quarter my current age. How old am I? ​

Answers

I want to say 128 but I feel like that is wrong

kofi earned 50 cedis mowing lawn. today, kofi earned 60% of what he earned yesterday mowing lawns. how much money did kojo earn mowing lawn today

Answers

Answer:

Kofi earned today = 30 cedis

Step-by-step explanation:

Given:

Kofi earned yesterday = 50 cedis

Kofi earned today = 60% of Kofi earned yesterday

Find:

Kofi earned today

Computation:

Kofi earned today = 60% of Kofi earned yesterday

Kofi earned today = 60% x 50

Kofi earned today = 0.60 x 50

Kofi earned today = 30

Kofi earned today = 30 cedis

Define business.Write the type of business​

Answers

Answer:

A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.

A simple random sample of 400 individuals provides 112 Yes responses. (a) What is the point estimate of the proportion of the population that would provide Yes responses

Answers

Answer:

The point estimate of the proportion of the population that would provide Yes responses is 0.28.

Step-by-step explanation:

Point estimate of the proportion of the population that would provide Yes

The sample proportion of yes responses.

In the sample:

112 yes responses in the sample of 400, so:

[tex]p = \frac{112}{400} = 0.28[/tex]

The point estimate of the proportion of the population that would provide Yes responses is 0.28.

please can anyone help me with this question what is the probability of the spinner landing on an even number.​

Answers

1/2 chance it will land on an even number


Explanation there is 4 even numbers and 4 odd numbers meaning it’s a 50/50 chance

5 less than three times a number is 37 what is the number​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

3x - 5 = 37

Step 2: Solve for x

[Addition Property of Equality] Add 5 on both sides:                                    3x = 42[Division Property of Equality] Divide 3 on both sides:                                 x = 14

a. 8
b. 10
c. 3
d. 4

Answers

Answer:

4

Step-by-step explanation:

The number on the right  squared in equal to the number on the left

5^2 =25

6^2 = 36

What squared = 16

4^2 = 16

The the missing number is 4

Write the expression as a trinomial: (y+7)(y-11). You want to make the expression into trynomial form, not simplified it

Answers

Answer:

y² - 4y - 77

Step-by-step explanation:

(y+7)(y-11)

y² - 11y + 7y - 77

y² - 4y - 77

Amelia is calculating the density of soccer balls in a bag. She knows the number of balls in the bag and the volume of the bag. Which of the following formulas can be used to calculate the density of balls in the bag?

Density = volume of bag over number of balls
Volume of shelf = density over number of balls
Density = number of balls over volume of bag
Number of books = density over volume of bag

Answers

Answer:

Density = number of balls over volume of bag

The formula that can be used to calculate the density of the balls in the bag is Density = number of balls over volume of bag

What is the formula for density?

"[tex]Density=\frac{Mass}{Volume}[/tex]"

What is mass?

"It is the measure of the matter inside a body."

For given question,

Amelia knows the number of balls in the bag and the volume of the bag.

She wants to calculate the density of soccer balls in a bag.

Here, mass = the number of balls in the bag

By using the density formula,

[tex]Density=\frac{number~of~balls}{volume~of~the~bag}[/tex]

Therefore, the formula that can be used to calculate the density of the balls in the bag is Density = number of balls over volume of bag

Learn more about the density here:

https://brainly.com/question/16823734

#SPJ2

A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 250 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 250 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey?
Attitude 1st Survey 2nd Survey
Optimistic 7% 6%
Slightly Optimistic 9% 6%
Slightly Pessimistic 31% 37%
Pessimistic 53% 51%
Step 4 of 10: Find the expected value for the number of respondents who are optimistic. Round your answer to two decimal places.

Answers

Answer:

Yes. the Psychologist can confirm his theory that the attitudes have changed over time, based on the first and second surveys.

The expected value for the number of respondents who are optimistic is:

= 16.25

Step-by-step explanation:

Attitude                   1st Survey      2nd Survey

Optimistic                     7%                    6%

Slightly Optimistic       9%                     6%

Slightly Pessimistic    31%                   37%

Pessimistic                53%                   51%

Expected value of optimistic respondents:

Attitude                    

Optimistic      Expected Value

1st Survey        8.75 (250 * 7% * 50%)  

2nd Survey      7.50 (250 * 6% * 50%)

Total EV         16.25

(1+y²)dx + (1+x²)dy = 0

Answers

This differential equation is separable:

(1 + y²) dx + (1 + x²) dy = 0

(1 + y²) dx = - (1 + x²) dy

dy/(1 + y²) = -dx/(1 + x²)

Integrating both sides gives

arctan(y) = -arctan(x) + C

and solving for y gives (over an appropriate domain)

y = tan(C - arctan(x))

(the domain being -1 ≤ y ≤ 1).

how many distinct permutations can be formed using the letters of the word robberies

Answers

Answer:

45360 arrangements

Step-by-step explanation:

Given the word 'robberies'

Number of letters = 9 letters in total

Repeated letters ; r = 2 ; b = 2 ; e = 2

Therefore, the number of distinct arrangement of letters is :

(total letters)! / repeated letters!

The number of distinct arrangement of letters is :

9! / (2! * 2! * 2!) = (9*8*7*6*5*4*3*2*1) / (2*2*2)

362880 / 8 = 45360 arrangements

Integrate the following. ∫[tex]84dx[/tex]

Answers

Answer:

[tex]\displaystyle \int {84} \, dx = 84x + C[/tex]

General Formulas and Concepts:

Calculus

Integration

IntegralsDefinite/Indefinite IntegralsIntegration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {84} \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {84} \, dx = 84\int {} \, dx[/tex][Integral] Reverse Power Rule:                                                                     [tex]\displaystyle \int {84} \, dx = 84x + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integrations

37. The trip between 2 towns is exactly 90 miles. You have gone 40% of this distance. How far have
you gone?

Answers

Answer:

36 miles

Step-by-step explanation:

We want to find 40% of 90 miles

40% * 90

.40 * 90

36 miles

Distance=90mliesTravelled distance=40℅

We have to find travelled distance inorder to find this we have to find 40℅ of 90miles

[tex]\\ \Large\sf\longmapsto 90\times 40\℅[/tex]

[tex]\\ \Large\sf\longmapsto 90\times \dfrac{40}{100}[/tex]

[tex]\\ \Large\sf\longmapsto 9\times 4[/tex]

[tex]\\ \Large\sf\longmapsto 36miles [/tex]

Thank you guys fir the help

Answers

Answer:

6x^3-2x^2+4x-8

Step-by-step explanation:

f(x) = 3x^2 +4x-6

g(x) = 6x^3 -5x^2 -2

f(x) + g(x) =  3x^2 +4x-6+ 6x^3 -5x^2 -2

Combine like terms

f(x) + g(x) = 6x^3+3x^2-5x^2+4x-6-2

                =6x^3-2x^2+4x-8

Answer:

[tex]6 {x}^{3} - 2 {x}^{2} + 4x - 8[/tex]

Answer C is correct

Step-by-step explanation:

[tex]f(x) = 3 {x}^{2} + 4x - 6 \\ g(x) = 6 {x}^{3} - 5 {x}^{2} - 2 \\ (f + g)(x) =( 3 {x}^{2} + 4x - 6) + (6 {x}^{3} - 5 {x}^{2} - 2) \\ = 3 {x}^{2} + 4x - 6 +6 {x}^{3} - 5 {x}^{2} - 2 \\ = 6 {x}^{3} - 2 {x}^{2} + 4x - 8[/tex]

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