Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.

Answers

Answer 1

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.


Related Questions

Ik the answer I just want make sure I’m correct

Answers

Answer:

2

3,0

Step-by-step explanation:

Maria is ordering trophies for school. Company Christopher charges $3.50 for each trophy and a one-time engraving fee of $25. Company Asya charges $7.50 for each trophy and a one-time engraving fee of $17 Develop an equation where the two companies would be the same.

Answers

Answer:

An equation where the two companies would be the same is given as:

25 + 3.50x = 17 + 7.50x

Step-by-step explanation:

Let the number of trophies ordered be represented by x

Maria is ordering trophies for school. Company Christopher charges $3.50 for each trophy and a one-time engraving fee of $25.

$25 + $3.50 × x

25 + 3.50x

Company Asya charges $7.50 for each trophy and a one-time engraving fee of $17

$17 + $7.50× x

17 + 7.50x

An equation where the two companies would be the same is given as:

Company Christopher = Company Asya

25 + 3.50x = 17 + 7.50x

Simplifying further:

Collect like terms

25 - 17 = 7.50x - 3.50x

8 = 4.00x

x = 8/4

x = 4

Hence, the two companies would be the same after 4 trophies.

What is slope intercept form A.) y =mx+b B.)ax+by=c C.)P = 2l+2w D.)A = lw

Answers

Answer:

The answer is A, Y=mx+b

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25.

Select the THREE values (d, n) that could be solutions to the equation.
A. (0, 455)
B. ( 0.50, 435)
C. (233, 21)
D. (118, 209)
E (172, 101)

Answers

Answer:

D. (118, 209)

Step-by-step explanation:

0.10d substitute "d" for 118 which equals $11.80

0.05n substitute "n" for 209 which equals $10.45

So, $11.80 + $10.45 = $22.25

Which makes D the correct answer

You are baking a casserole. The recipe calls for 1/3 of a cup of beans to
make 7 servings. How many cups of beans would you need to make 14
servings?

Answers

Answer:

2/3

Step-by-step explanation:

Because 7 doubled is 14, you just need to double 1/3 to get your answer. And 1/3 X 2 = 2/3

Helppp!!!!! Plz!! Thank you!!!!!!!

Answers

Answer:

third option

Step-by-step explanation:

set all the x's equal to zero

The princiole labeled some of the marks on the four thermometers with dollar amounts. Decide what labels belong on the remaining marks​

Answers

Answer:

hmm lets see

Step-by-step explanation:

PLEASE HELP I am not good at this kind of stuff and it is due like now so, please hurry I will mark Brainliest

Solve the inequality.
Let s = speed in mph

Answers

Answer:

50

Step-by-step explanation:

250 divided by 5

I think 50 would be the answer :)

please help me find m<1 before 11:59 PM!

Answers

Answer:

129 degrees

Step-by-step explanation:

add the interior angles: 62 + 67 = 129

subtract your answer from 180 to get the exterior angle of the interior angle that is opposite to the given angles

The picture shows how to solve this
67+62
Answer
129

Directions: Find each missing measure.
Q
P
R
Please help me find all 3 !

Answers

Answer:

m<P = 60 degrees

Step-by-step explanation:

All sides of the triangle are equivalent to each other.

All three sides of the triangle equal 180 degrees total.

Since there are 3 sides, we divide 180 by 3 to find the measurement for all sides

180 ÷ 3 = 60

Q = 60 degrees

P = 60 degrees

R = 60 degrees

Check your work by adding all three sides together to equal 180:

60 + 60 + 60 = 180

180 = 180

Work is correct

A triangle has sides equal to 3, 4, and 5.
Which statement regarding the triangle is correct?

A. The triangle is an equilateral triangle.

B. The triangle is an isosceles triangle.

C. The triangle is an obtuse triangle.

D. The triangle is a right triangle

Answers

Answer:

D

Step-by-step explanation:3,4,5 is a pythagorean triple, making it a right triangle

Answer:

D

Step-by-step explanation:

If you use the Pathagorean theorum where [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] and plug in the number you were given, you get [tex]3^{2}[/tex] + [tex]4^{2}[/tex] = [tex]5^{2}[/tex]  or 9 + 16 = 25 which is correct.

So this has to be a right triangle.

You can also eliminate answer A because you already know none of the sides are equal so it can't be equilateral.

You can eliminate answer B because you already know that no two sides have an equal length so it can't be defined as isosceles.

You can eliminate answer C because if it were obtuse, the 3rd side (5) would have to be a lot longer.

Professor Burger bought a DVD player with an original price of $150 that was reduced by 20%. What was the reduced price?

Answers

Answer:

120

Step-by-step explanation:

20% of 150 = 30

150 - 30 = 120

Answer:

120

Step-by-step explanation:

First you turn 20% into .20

Next multiply .20 × 150

You'll get 30

Lastly subtract 150-30

Final should be 120

Hope this helps!!

Preform the following operations with fractions.
-11/5+4/6

Answers

(-11/5)(6/6) + (4/6) (5/5)
-66/30 + 20/30
-46/30
23/15

A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?​

Answers

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

In one year,a satellite orbiting the earth travels 9.6 *10^10 meters. Which of the following is the best way to rewrite this quantity ,using more appropriate units?

Answers

Answer:

9.6 x 10 7 km

Step-by-step explanation:

A 4-ounce tube of paint costs 15.40 what is the cost per ounce?

Answers

Answer:

3.85

Step-by-step explanation:

Divide 15.40 by 4.

Answer:

3.85

Step-by-step explanation:

4 ounces = 15.4

4 ounces/ 4= 1 ounce

15.4/4=3.85

What is (b) called ?

Answers

Answer:

i think a triangular pyramid

im so sorry if im wrong

Answer:

A triangular pyramid

Step-by-step explanation:

someone help me and explain this is really confusing me plzz I'll brainlist u !:)​

Answers

Answer:

Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x

13 dollars per child and y children so $13y

$20 for each pensioner and p pensioners so $20p

when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer

$25x + $13y + $20p

a) $25x

b) $13y

c) $20p

d) $25x + $13y + $20p

Answer:

a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125

b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52

c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner  coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40

d) so, the total will be, = $25x + $13y + $20p

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Please help!! I’ll give brainliest to whoever answers first and correctly!
If m < 5 = 130 degrees, then what is m < 12 __?
And what is the angle relationship for this problem?! What type of angle is this??

Answers

Answer:

M<12 is 50⁰

Step-by-step explanation:

You have to subtract 130 from 180 because 130 is a supplementary angle. So you subtract and get the angle measurement for angle 12.

how do I solve for x?​

Answers

Answer:

(x)+(x-31)+(x+43)=180

Step-by-step explanation:

Answer:

x=56

Step-by-step explanation:

Set all 3 angles to 180°, as that is how many degrees is in a triangle.

x+x+43+x-31=180

Solve.

3x+12=180

3x= 168

x=56

what single decimal multiple would you use to increase by 3% followed by a 9% in crease

Answers

Answer:

.12

Step-by-step explanation:

When converting percents to decimals, each 1% is equivalent into a hundredth in a decimal. Add 3 and 9 to get 12 hundredths, which will be .12.

What is the solution to the inequality |x-4|<3?
-7 1 x<-7 or x<-1
x > 1 or x < 7

Answers

Answer:

1 < x < 7

Step-by-step explanation:

What is the volume of the prism

Answers

Answer:420 cubic millimeters

Step-by-step explanation:

Base*height*length divided by 2

10*10.5*8/2

Solve for the value of s

Answers

The two angles are vertical angles, which mean they are the same.

6s-2 = 94

Add 2 to both sides:

6s = 96

Divide both sides by 6:

S = 96/6

S = 16

select the statement that is true.
0.688 0.602
0.688 = 0.602
0.602 > 0.688

Answers

It is 0.677 0.602 since the other two are both incorrect

5+(−4)+(−7)+2 helppp

Answers

Answer:

-4

Step-by-step explanation:

Simplify:

5 - 4 - 7 + 2

Simplify more:

1 - 5

Celebrate:

-4

If f = {(0,2), (2,6), (3,15),(4,9)} and g = {(3,4), (2,1),(4,6), (5,9)},
what is (f x g)(3)?

Answers

Considering the given relations, the value of the multiplication of f(x) and g(x) at x = 3 is given by:

(f x g)(3) = 60.

What is the multiplication of f(x) and g(x) at x = 3?

The multiplication is given by the multiplication of each of the numeric values at x = 3, hence:

(f x g)(3) = f(3) x g(3).

The values are found as follows:

The first relation has point (3,15), hence f(3) = 15.The second relation has point (3,4), hence g(3) = 4.

Hence the multiplication is given by:

(f x g)(3) = f(3) x g(3) = 15 x 4 = 60.

More can be learned about the multiplication of functions at https://brainly.com/question/13136492

#SPJ1

2(a-c)=4a solve for a​

Answers

Answer:

Here you go :)

So, you can't really answer this, but you can simplify it.

Simplifying

2(a + -1c) = 4a

(a * 2 + -1c * 2) = 4a

(2a + -2c) = 4a

Solving

2a + -2c = 4a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-4a' to each side of the equation.

2a + -4a + -2c = 4a + -4a

Combine like terms: 2a + -4a = -2a

-2a + -2c = 4a + -4a

Combine like terms: 4a + -4a = 0

-2a + -2c = 0

Add '2c' to each side of the equation.

-2a + -2c + 2c = 0 + 2c

Combine like terms: -2c + 2c = 0

-2a + 0 = 0 + 2c

-2a = 0 + 2c

Remove the zero:

-2a = 2c

Divide each side by '-2'.

a = -1c

Simplifying

a = -1c

Extra Fun Fact!!: Albert Einstein failed Algebra

________

Answered by James

Step-by-step explanation:

[∛27]∧-2 pls is urgent

Answers

Answer:

1/9 or 0.1111

Step-by-step explanation:

[∛27]∧-2

We first slove for the bracket before the outer bracket

[∛27]∧-2

Where ∛27 = 3

= 3^-2

= 1/3^2

= 1/9 or 0.1111

Need help ASAP. Will mark brainliest if correct.

Answers

Answer:

A or C but i think A

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

The is the point slope formula which is y-y1=slope(x-x2).

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