Amanda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges an initial fee of $55 and an additional 70 cents for every mile driven.
Company B charges an initial fee of $97.50 and an additional 20 cents for every mile driven.
For what mileages will Company A charge less than Company B?
Write your answer as an inequality, using m for the number of miles driven.

Answers

Answer 1

Answer:

The mileages for which Company A charges less than Company B is 0 miles ≤ m ≤ 85 miles

Step-by-step explanation:

The given parameters for the two companies are;

For Company A

Company A initial fee = $55

The additional fee per mile = 70 cents

For Company B

Company B initial fee = $97.50

The additional fee per mile = 20 cents

Let [tex]C_A[/tex] represent the total charge for company A and let [tex]C_B[/tex] represent the total charge for company B, we have;

[tex]C_A[/tex] = 55 + 0.70 × m

[tex]C_B[/tex] = 97.50 + 0.20 × m

Where "m" represents the number of miles driven

Therefore, the cost of Company A and Company B are the same or equal when have the following relation;

[tex]C_A[/tex] = [tex]C_B[/tex]

∴ 55 + 0.70 × m = 97.50 + 0.20 × m

0.70 × m - 0.20 × m = 97.50 - 55

0.5 × m = 42.5

m = 85

The number of miles driven for which the two companies will charge the same amount, m = 85 miles

Therefore, given that the initial fee for Company A is less than the initial fee for Company B. we have;

Therefore for 0 miles  ≤ m < 85 miles, Company A charges less than Company B.


Related Questions

Pls help and show workings. Best get brainiest

Answers

Answer:

∠ EBF = 40°

Step-by-step explanation:

Given BF bisects ∠ CBE , then

∠ CBF = ∠EBF , substitute values

7x - 2 = 6x + 4 ( subtract 6x from both sides )

x - 2 = 4 ( add 2 to both sides )

x = 6

Thus

∠ EBF = 6x + 4 = 6(6) + 4 = 36 + 4 = 40°

1. 2.5 + (-7.25)=
2. -9.7161 (-3.212)=
3. (-7) x (-5)=
4. 3 x (-6)

Answers

Answer:

Step-by-step explanation:

1. 2.5+(-7.25)=2.5-7.25= -4.75

2. -9.7161-3.212=-129281

3. -7 x(-5)=35

4.= -18

Solve for a: 2a + 8b = 4c

Answers

the answer is
a=2c-4b

Answer:

a=2c-4b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain variables.

-4=2/3x solve the equation for the value of the variable show all work please please solve this problem and thanks:)

Answers

Step-by-step explanation:

-4=2/3x

-4/1=2/3x

cross multipy,

-4 × 3x = 2 × 1

-12x = 2

x=-2/12

x=-1/6

Which expression is equivalent to 4x-5? select all that apply
A. 3(2x-5) - 2(x-5)
B. 3x-2 - (3-x)
C. 7x+1 - 3(x+2)
D. 4(2x-1) - 2(2x-1)

Answers

Answer:

A&C

Step-by-step explanation:

Please answer this if you can tysm

Answers

Answer:

78.5in

Step-by-step explanation:

C= 2(pi)r

C= 2 x 3.14 x 12.5

C= 78.5in

Answer:

78.5

Step-by-step explanation:

To find circumference, you need to multiply radius (r) times pi (3.14 or 22/7) times 2. So, you would do 12.5 times 2 times 3.14. You would get 78.5.

Hope I helped!! :) Have a good day/night.

Which Ordered Pair Is A Solution For The System Of Equations?

3x-5y=15
2x-y=-4

A. (0,3)
B. (-5,-6)
C. (2,8)
D. (-6,-11)

Answers

Answer:

b

Step-by-step explanation:

because

3×(-5)-5×(-6)=15

2×(-5)-(-6)=-4

(4x²-23x-16) : (x+5)

Answers

Answer:

4x^3+26x^2-39x-195

Step-by-step explanation:

Answer:

-22x + 4x²- 11

Step-by-step explanation:

1(4x²-23x-16) (x+5)

4x²-23-16 + x +5

-23+ x +4x² - 16+5

-22x + 4x² - 11

Evaluate 5x + 3 when x=6

Answers

Answer:

33

Step-by-step explanation:

5(6) + 3

30 + 3

= 33

Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 paid $2.50 per ticket, while everyone else paid $4.00 per ticket. Last night’s show brought in $910.
Write a system to represent the given equations.

How many adult tickets were sold?

How many under the age of 16 tickets sold

Answers

Answer:

Student's tickets: 60

Adult's tickets: 190

I think this is right

Step-by-step explanation:

"Let x represent the number of tickets sold to students under the age of 16. Let y represent those over the age of 16.

Equation 1, number of tickets sold:

The total number of tickets sold to students under the age of 16 plus the number of tickets sold to students over 16 must equal 250 (since the theater was sold out). The equation becomes:

x + y = 250

Equation 2, revenue from tickets sold.

The total revenue was $910. The cost of tickets under 16 is $2.50 and the cost of tickets over 16 is $4.00. The equation becomes:

2.50 * x + 4.00 * y = 910.00

The system of equations to solve is:

         x  +  y = 250

2.50 * x +  4.00 * y = 910.00 "

In a candy store in California using a 6% tax sale, three jars of candy are labeled $35.00 after tax. What is the sale price of each jar of candy after tax?

Answers

Answer:

Step-by-step explanation:

You first have to find 6% of 35. Which is 2.1 and so you then multiply 2.1×3 which is 6.3 and then subtract 6.3 from 35. 35-6.3 which is 28.7 and then divide that by 3. Which is essentially 9.6 if you round up the decimal. Otherwise it'd just be 9.566667. So, I'd say each is 9.6 or 10 if you're rounding for the nearest whole number.

Answer:

its $10.90

Step-by-step explanation: i did this and got it correct

Simplify by combining like terms: 3e - 19 - 7e +10

Answers

Answer:

-4e-9

Step-by-step explanation:

3e-19-7e+10

3e-7e-19+10

-4e-9

The simplified expression is -4e - 9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3e - 19 - 7e + 10

Combine like terms.

(3e - 7e) - 19 + 10

-4e - 9

Thus,

The final expression is -4e - 9.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

SOMEONE PLEASE HELP !!!!!

Answers

Answer:

I can't see the pictures clearly but its between Option A and Option C

Step-by-step explanation:

[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{60-20}{42-14}=\frac{40}{28}=\frac{20}{14}=\frac{10}{7}[/tex]

Slope = [tex]\frac{10}{7}[/tex]

[tex]y-y_{1}=m(x-x_{1} ) \\\\y-20=\frac{10}{7}(x-14)\\\\y-20=\frac{10}{7}x-20\\\\y=\frac{10}{7} x[/tex]

y-intercept = origin (0, 0)

Geometry help please !!! I need this for extra credit in school

Answers

Answer:

I believe it is y = -3x + 2

Step-by-step explanation:

What is the slope of the equation? y=2/3x+4​

Answers

Answer:

Slope m = 2/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 2/3x + 4

Step 2: Break Function

Identify Parts.

Slope m = 2/3

y-intercept b = 4

For a school picnic, leslie ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 60 cookies in all. 15 of the cookies were gingerbread. What percentage of the cookies were gingerbread.

Answers

Answer:

Pretty sure 25%.

Step-by-step explanation:

First, you would need to see how many times 60 goes into 100, because a percent is ALWAYS over 100. You should get an answer of 1.66666667. Then you if you multiply it to one of the numbers then you have to do it to the other number. So, you would do 15 times 1.66666667. You would get 25. So, that would be 25 over 100 or 25/100. And 25 over 100 is 25%.

I hope I helped! :) Sorry if it's wrong :(

The trapezoid consists of a triangle and a parallelogram. The area of the trapezoid is 48 square feet. Find the length of the base of the triangle.

Answers

Answer:

4ft

Step-by-step explanation:

(4 + 2/9) =(6 + 1/3)b

Answers

Step-by-step explanation:

(4 + [tex]\frac{2}{9}[/tex] ) = (6 + [tex]\frac{1}{3}[/tex] ) b       Original equation

4 + [tex]\frac{2}{9}[/tex] = 6b + [tex]\frac{1}{3}[/tex]b            Distributive property

4 [tex]\frac{2}{9}[/tex] = 6[tex]\frac{1}{3}[/tex] b                     Simplification

[tex]\frac{38}{9}[/tex] = [tex]\frac{19}{3}[/tex]b                        Extra simplification

[tex]\frac{38}{9}[/tex] × [tex]\frac{3}{19}[/tex] = [tex]\frac{19}{3}[/tex]b × [tex]\frac{3}{19}[/tex]          Isolating the variable

[tex]\frac{2}{3}[/tex] = b                            Your answer

I hope this helps!!!

help plissssssssssssssssssssss​

Answers

Answer:

......can u tranlate it?

What’s the translation??

15 = 5/ 3(x + 12) solve for x in simplest form

Answers

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzz i spent 15 points

The Guinness book of world records states that the tallest trophy is about 270 inches. If they stacked 4 of those trophies on top of each other, how high would they be?

Answers

Answer:

1080 inches

Step-by-step explanation:

or did you need it in ft?

or another unit of measurement-

Answer:

1,080

Step-by-step explanation:

270*4

1,080

If u add the 270 four times you get 1,080

10 cm
6.5 cm
b) Find the total surface area of the cylinder.
Give your answer to 3 significant figures.
Please help!!

Answers

Um can we see the cylinder

Solve The Equation
1/7 (63n - 77) = -11 + 9n
A. No Solution
B. n = 0
C. Infinite Solutions
D. n = 11/9
E. n = -11/9

Answers

Answer:

C. Infinite Solutions

Step-by-step explanation:

In order to solve this we fist have to simplify the equation so we do the following:

[tex]\frac{1}{7}(63n -77) = -11 + 9n\\\\(\frac{1}{7})(7)(63n - 77) = (7)(-11 + 9n) \\\\63n - 77 = -77 + 63n\\63n - 77 = 63n - 77[/tex]

From here we know that any value of n is the solution of this equation so the answer is option C.

4xi + 5yi^8+ 6xi^3 + 2yi^4

Answers

Answer:

The correct answer is,

[tex]7y - 2ix[/tex]

Chris is at the florist and wants to buy flowers. Arrangements of daisies are $4.25 and the arrangements of roses are $6.50. He wants to spend less than $39 and wants to buy at least 4 arrangements.

Answers

Answer:

Let's define the variables:

D = arrangements of daisies that he buys

R = arrangements of roses that he buys.

Each arrangement of daisies costs $4.25, then for D of them, the total cost is:

D*$4.25

And for the roses, the cost of each one is $6.50, then the cost for R of them is:

R*$6.50

We know that he wants to spend less than $39, then we have the inequality:

D*$4.25 + R*$6.50 < $39

And we also know that he wants to buy at least, 4 arrangements, then:

D + R ≥ 4

Now we have a system of inequalities:

D + R ≥ 4

D*$4.25 + R*$6.50 < $39

This has quite a few solutions, for example, he could buy 3 arrangements of daisies and 2 of roses, the total cost would be:

3*$4.25 + 2*$6.50 = $25.75, which is less than $39, and he is buying 5 arrangements, more than 4 as he wanted.

And there are a lot of other possible options.

Graph the geometric sequence 6, 12, 24, 48

Answers

Answer:

(1, 6) (2, 12) (3, 24) (4, 48)

If you have to continue to graph, multiply your y value by 2 and just add 1 to your x value. Hope this helps.

Please help.
Mary is currently 14 years older than her friend Courtney. In 5 years she will be 2 times as old as Courtney. Let x be Courtney’s age and solve for both of their ages.

How old is Courtney?

Answers

Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Given f(x)=x^3+5x+k, and x+2 is a factor of f(x), then what is the value of k?

Answers

3x^3+0x^2-2x+k:x-2=3x^2+6x+10
3x^2-6x^2
6x^2-2x
6x^2-12x
10x+k
10x-20
k+20
Thus k=-20

Answer: Hopes this helps

Step-by-step explanation:

How much is 1232323 divided by 232 x 3
This sounds crazy but its on my test..
Ly.
100 poins

Answers

ANSWER -

1232323 ÷ 232 x 3 = 15935.2112069

It is cray cray lol.

Plz give brainliest I would rlly appreciate it :)

1232323 / (232 x 3)

1232323 / 696

= 1770.57902 times

Or is approx 1771 times

A number divided by the sum of 4 and 7.

Answers

Answer:

11

Step-by-step explanation:

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