A truck can be rented from Company A for ​$90 a day plus ​$0.20 per mile. Company B charges ​$30 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer 1

Answer:  150 miles

Step-by-step explanation:

Let A stand for Company A's Total Price, and B for Company B.  Let x be the number of miles driven.

A = $90 + ($0.20/mile)*x

B = $30 + ($0.60/mile)*x

We want to know for what x does A = B

$90 + ($0.20/mile)*x = $30 + ($0.60/mile)*x

$60 + ($0.20/mile)*x - ($0.60/mile)*x = 0

$60 + x*($0.20/mile) - ($0.60/mile)) = 0

$60 + x*(- ($0.40/mile)) = 0

x*(- ($0.40/mile)) = -$60

x = -$60/(-$0.40/mile)

x = 150 miles

Company A, 1 day, 150 miles = $120

Company B, 1 day, 150 miles = $120

At 150 miles, and just 1 day, both companies will charge a total of $120 for the rental.


Related Questions

A group of workers can plant 21 acres in 7 days.
What is their rate in acres per day?

Answers

Answer:

3

Step-by-step explanation:

21 acres divided by 7 days equals to 3 days

Each day they do 3 acres

3 acres * 7 days = 21 acres in a week

Answer:

I think 3 acers in a day. if you need an explanation pls let me know :)

HELPPPP

Jen ran directly toward school at a constant velocity for 36 seconds. In one-third of that time, she ran 120 meters. What was her velocity?

Answers

Answer is 10 m/s

Step-by-step explanation:-

First, we need to calculate one-third of 36 seconds :

[tex] \frac{1}{3} \times 36[/tex]

[tex] \frac{36}{3} [/tex]

[tex]12[/tex]

Now, to find velocity, let's divide the distance by time :

[tex]velocity = \frac{distance}{time} [/tex]

[tex]velocity = \frac{120}{12} [/tex]

[tex]velocity = 10 \: m/s[/tex]

Therefore, Jen's velocity is 10 m/s .

✍️ By Benjemin ☺️

Find an equation of the line that satisfies the given conditions.
x-intercept: 8; y-intercept: 6

Answers

Answer:

3x+4y-24=0.

Step-by-step explanation:

if the common form of the required equation is

[tex]\frac{x}{a} +\frac{y}{b} =1, \ where \ a;b \ are \ x-intercept;y-intercept,[/tex]

then the required equation is:

[tex]\frac{x}{8} +\frac{y}{6} =1[/tex]

or 3x+4y-24=0.

5. Higher Order Thinking if 1/2 multiplied
by , 1/2 will the product be greater than ?
Explain.

Answers

Answer:

No

Step-by-step explanation:

1/2 times 1/2 = 1/4

Mario needs to cut 3 bookshelves from a board that is 10 feet long.
The 2nd shelf is 1 foot longer than twice the length of the first shelf.
The remaining shelf is 5 feet longer than the first shelf. If x = length of
the first shelf, write an algebraic equation & solve to find the length of
all three shelves.

Answers

Answer:

1

Step-by-step explanation:

Yeah so that the answer just cause I am nice i will say it again 1

Evaluate the expression when, c=7 and x=-2
c-4x

Answers

Answer:

The answer to this expression would be 15

Step-by-step explanation:

(7) - 4(-2) = 7 + 8 = 15

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

[tex]\huge\boxed{\mathsf{c - 4x}}\\\huge\boxed{\mathsf{\rightarrow 7 - 4(-2)}}\\\huge\boxed{\mathsf{\rightarrow 7 -(-8)}}\\\huge\boxed{\rightarrow{\mathsf{7 + 8}}}\\\huge\boxed{\mathsf{\rightarrow 15}}\\\\\\\\\\\huge\text{Therefore, your answer is: \textsf{15}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

This diagram shows a pre-image △ABC, and its image, ​△A′′B′′C′′​, after a series of transformations. Select from the drop-down menus to correctly complete the statements. △ABC is Choose... to become △A′B′C′. Then ​△A′B′C′​ is Choose... to become ​△A′′B′′C′′​ . Because the transformations are Choose... , the pre-image and image are Choose... . Triangles on a coordinate plane whose axes are labeled x and y. Triangle A B C has vertex A at 1 comma negative 1, vertex B at 4 comma negative 2, and vertex C at 7 comma 2. Triangle A prime B prime C prime has vertex A prime at negative 1 comma 1, vertex B prime at negative 4 comma 2, and vertex C prime at negative 7 comma negative 2. Triangle A double prime B double prime and C double prime has vertex A double prime at negative 1 comma negative 2, vertex B double prime at negative 4 comma negative 1, and vertex C double prime at negative 7 comma negative 5.

Answers

The answers that complete the statements of the series of transformations are;

- △ABC to △A′B′C′; because the △ABC has been rotated at angle of 180° about the origin.

- △A′B′C′ to △A′′B′′C′′; Because the △A′B′C′ has been shifted down by 3 units.

- All 3 transformations are rigid transformations

- All three transformations are congruent transformations.

The image showing triangles △ABC, ​△A′′B′′C′′​, and △A′B′C′ is missing and so I have attached it.

From the image attached, we see the following coordinates of the triangles;

Coordinates of △ABC; A(1, -1), B(4, -2), C(7, 2)

Coordinates of △A′B′C′; A'(-1, 1), B'(-4, 2), C'(-7, -2)

Coordinates of ​△A′′B′′C′′; A''(-1. -2), B''(-4, -1), C''(-7, -5)

Now, in transformation from △ABC to △A′B′C′, we see that the pattern of transformation is;  (x, y) → (−x ,−y). This pattern where coordinates of x and y are transformed to the negative part of them denotes that there has been a rotation at angle of 180° about the origin.

In transformation from △A′B′C′ to △A′′B′′C′′, we see that triangle shifted down because the y-coordinates have reduced by 3 units. Thus, we can say that the transformation was to shift △A′B′C′ down by 3 units.

In each of the transformations, we can tell that regardless of the position of the triangle, the distances AB, BC and AC remain the same. Thus, the transformation is rigid. The transformations are also congruent because all their corresponding sides are equal.

Read more at; https://brainly.com/question/11254677

In your own words, describe how you would use construction tools to construct a perpendicular to a line. Explain as if you were teaching a
Geometry newbie. Use vocabulary in your explanation. Give an example of how you could then prove the line you created was
perpendicular to the original line.

Answers

Answer:

bisecting line BC

with center B and any radius greater than half of line BC , make arcs below and above line BC with the same radius and C as the center , make. an arc to intersect the first arcs above and below line BC .Name the point where the arc meet , E and F .join EF meet BC as Y

Determine the value of x in the figure​

Answers

180-140=40 (complementary angle)
2z=40
Z=40/2
Z=20
Solution:The sum of all the angles which stand on a straight line is 180°.Therefore, 2z + 140° = 180°or, 2z = 180° - 140°or, 2z = 40°or, z = 40° ÷ 2or, z = 20°Answer:

z = 20°

Hope it helps! Please do comment if you have any query.

Thank you

Sienna planned a rectangular pool, as shown in the scale drawing below. 11 in. 7 in. Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long. She then decided to make a pool with a final length of 33 ft. Which expression finds the change in scale factor for the longer pool Sierra is building?​

Answers

Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:

11 inches = 0.916 feet 11 / 0.916 = 12 7 inches = 0.583333 feet 7 / 0.5833333 = 12 Thus, the initial scale is 1:12. 33 / 0.916 = 36

Therefore, the scale factor went from 1:12 to 1:36.

Learn more in https://brainly.com/question/2302757

Answer:

2ft/3ft

Step-by-step explanation:

Are these polygons congruent?
6 cm
6 cm
6 cm
6 cm
6 cm
6 cm
yes
no

Answers

Answer:

Yes. Remember that congruent means same shape and the size of length.

Step-by-step explanation:

Flip the second model and jt will be the same as the first. Congruence is that.

Answer:

Yes

Step-by-step explanation:

The borders are congruent by measure

16. For any two integers a and b, (a + b)2 = a² + b2
true or false

Answers

Answer:

false is the answer ........

The statement is false.

Solution:

(a+b)^2 = (a+b)(a+b)= a^2 + ab + ab + b^2= a^2 + 2ab + b^2

So the statement is false and the correct statement is:

For any two integers a and b, (a+b)^2 = a^2+2ab+b^2.

Hi please help quick! what's -2 5/11 - 7 1/11

Answers

Answer:

Your answer will be -9.54545454545

Explanation:

I don't really understand what just happened to my calculator but i searched on goo gle but it's the correct answer..

Hope it helps you..Y-your welcome in advance..

(;ŏ﹏ŏ)(ㆁωㆁ)

-9 6/11 Since they are both negative you need to add them together. -2-7=-9
-5/11-1/11=-6/11
The answer is -9 6/11

-3x + b = 6x

solve for x

Answers

Answer:

x = 1/9(b)

Step-by-step explanation:

Step 1: Subtract 6x from both sides.

[tex]-3x + b - 6x = 6x - 6x[/tex] [tex]-9x + b = 0[/tex]

Step 2: Subtract b from both sides.

[tex]-9x + b - b = 0 - b[/tex] [tex]-9x = -b[/tex]

Step 3: Divide both sides by -9.

[tex]\frac{-9x}{-9}= \frac{-b}{-9}[/tex] [tex]x = \frac{1}{9}b[/tex]

Therefore, [tex]x = \frac{1}{9}b[/tex].

An ostrich was 960meters east of its nest. It ran west at a constant velocity for 160seconds. In that time, it ran halfway to its nest. What was its velocity?

Answers

Answer is 3 m/s.

Step-by-step explanation:-

The ostrich ran at a constant velocity, so it's velocity was :

[tex]velocity = \frac{distance}{time} [/tex]

It is said that the bird ran for 160 seconds and it made it half-way to its nest, so the distance was :

[tex]distance = \frac{960 \: metres}{time} [/tex]

[tex]distance = 480 \: metres[/tex]

And the velocity is :-

[tex]velocity = \frac{480 \: metres}{160 \: seconds} [/tex]

[tex]velocity = 3 \: m/s[/tex]

Therefore, the ostrich ran at a velocity of 3 m/s .

Help me solve this ASAP please

Answers

Answer:

3

Step-by-step explanation:

Remember BEDMAS!!

Brackets first:

(15) / (1+(2)^2)

Exponents next:

(15) / (1+4)

15 / 5 = 3

Hope that helps, feel free to ask questions

The answer is 3 use BODMAS, BEDMAS or PEDMAS

Change 5 2/5 into an improper fraction. What is the answer?

Answers

Answer:

27/5

Step-by-step explanation:

5 wholes=5/1

convert 5/1 into fifths, which is 25/5

add 25/5 to 2/5 to get your answer, 27/5

Multiply the binomials using box method or algebra tiles
(x-5)(x+1)

Answers

Hello!

The answer is B.)

Please answer the math problem... I will mark you brainliest

Answers

Comment has been deleted

Question 17
5 pts
What inequality is shown on the graph?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
23
O2<3
O2 > 3
O3 <3

Answers

Answer:

[tex]x \geqslant 3 [/tex]

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer.
2x+65=4x−3

Answers

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

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

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

-3(5n-8)=-8(n-3)

Please Hurry

Answers

Answer:

[tex] - 3(5n - 8) = - 8(n - 3)[/tex]

[tex] - 15n + 24 = -8 n + 24[/tex]

[tex] - 15n + 8n = 24 - 24[/tex]

[tex] - 7n = 0[/tex]

[tex]n = \frac{0}{ - 7} [/tex]

[tex]n = 0[/tex]

True or false? Multiplying a number by itself creates as “perfect square”.

Answers

Answer:

true

Step-by-step explanation:

3/4+5/6 divided by 2/3 in simplest form show work, please!
Thanks!

Answers

Answer:

2 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 [tex]\frac{3}{8}[/tex]

Hope this helps :)

Gravity Versus Distance
What is the force of gravity on the rocket at the planet's surface?
What is the force of gravity on the rocket at a distance of two units (twice the planet's radius from its center)?
According to the graph, is the relationship between gravity and distance linear or nonlinear? Explain.
In general, how does the force of gravity pulling on the rocket change as the distance between it and the planet increases?
Estimate the force of gravity on the rocket at a distance of 5 units.

Answers

Answer:

How many feet are there in 150 centimeters? *

Evaluate for z


11 + 3/5z = 38

Answers

Answer:

45

Step-by-step explanation:

Combine  3/5 and z

Move all terms not containing  z  to the right side of the equation.

3z/5=27

Multiply both sides of the equation by 5/3

Simplify both sides of the equation.  

z=45

The answer is 45. Simple as that!

Could someone please help answer this, no spam please, will give brainliest, thank you (homework help)!

Answers

Answer:

144

Step-by-step explanation:

48x4-48=144

Answer:

Question : The dress store is having a sale where all merchandise is 1/4 off. A woman buys $48 of merchandise at the sale price

Answer :

There are two ways to look at this.  If we take 1/4 off, then the $48 is 3/4 of the original price.

 

(3/4)p = 48

(4/3)(3/4)p = 48(4/3)

p = 64

 

Regular price is $64.

Step-by-step explanation:

- Amaya :))

More like this : https://brainly.in/question/27025290?referrer=searchResults

A conside the equation y= 1.5x+2. Find four pairs of x and y values that make the equation true.plot points (x,y) on the coordinate plane.

Answers

(2,5) (1,3.5) (4,6) (9,11)

Help question 7 plz will give Brainlyest

Answers

The answer to your question is: B

more heeelp 20 points​

Answers

Answer:

c and d

Step-by-step explanation:

like saying you lost half but gained 3 quarters. you end up have 1/4 or 1 quarter left

make the mixed number an improper fraction

9/4*9/5 = 81/20

20 goes into 81, 4 times evenly with 1 left over

4 1/20

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