You are hiring a limousine. One company charges a $60 reservation fee plus another $15 per hour. A second company charges a $25 reservation fee plus another $20 per hour. Write and solve a linear equation to find the number of hours at which the total cost is the same for both companies.

Answers

Answer 1

Answer:

7 hours

Step-by-step explanation:

Step one:

given data

let the total charges be y and the number of hours be x

Company A charges

$60 reservation fee plus another $15 per hour.

so

y=60+15x----------1

Company B charges

$25 reservation fee plus another $20 per hour

y=25+20x------------2

Step two:

equate the 2 expressions above we have

60+15x=25+20x

collect like terms

60-25=20x-15x

35=5x

divide both sides by 5

x= 35/5

x= 7 hours


Related Questions

Uhm help pleaseeee ?

Answers

Answer:

8=73 degrees

5=107 degrees

Step-by-step explanation:

Please mark me brainliest :D

Answer:

Angle 5 is 107 degrees

Angle 8 is 7s degrees

Step-by-step explanation:

First find angle 5. Since the lines are parallel and cut by a transversal, we can say that Angle 3 and Angle 5 are congruent (same measure) since they are alternate interior angles.

Since Angle 3 is 107 degrees, Angle 5 would also be 107 degrees.

Angle 8 is supplementary to Angle 5.

Angle 5 + Angle 8 = 180

Since we know Angle 5 is 107: 107 + Angle 8 = 180

Angle 8 would then be 73 degrees.

What is the measure of

Answers

Answer:

measure of what?

Step-by-step explanation:

You need to tell us the measure, what’s the measure?

How many acute angles does a heptagon have?

Answers

Answer:

4 side is the answer I am sure

Answer:

None.

Step-by-step explanation:

I assume we are talking about a regular heptagon.

This has 7 sides and 7 internal angles.

Each internal angle = 180 - (360/7) = 128.6 degrees which is an obtuse angle.

Is (-7,-4) a solution of -2y-x=15?

Answers

Answer:

Yes it is

Step-by-step explanation:

simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

Answers

Answer:

Simplifying the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex] we get [tex]\mathbf{108}[/tex]

Step-by-step explanation:

We need to simplify the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex]

Solving:

[tex](6^{-2})(3^{-3})(3*6)^4[/tex]

Applying exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\[/tex]

Factors of [tex]18=2\times 3\times 3=2\times3^2[/tex]

Factors of [tex]6=2\times 3[/tex]

Replacing terms with factors

[tex]=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\[/tex]

Using exponent rule: [tex](a^m)^n=a^{m\times n}[/tex]

[tex]=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}[/tex]

Using exponent rule: [tex]a^m.a^n=a^{m+n}[/tex]

[tex]=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}[/tex]

Now using exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108[/tex]

So, simplifying the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex] we get [tex]\mathbf{108}[/tex]

Determine whether this equation has no solution, one solution, or infinitely many solutions
8p + 1 = 4p +2

Answers

Answer:

the equation has one solution, p = 1/4

Step-by-step explanation:

8p + 1 = 4p + 2

subtract 4p from both sides of the equation

8p - 4p + 1 = 4p - 4p + 2

8p - 4p + 1 = 2

4p + 1 = 2

subtract 1 from both sides of the equation

4p + 1 - 1 = 2 - 1

4p = 2 - 1

4p = 1

divide both sides of the equation by 4

4p/4 = 1/4

p = 1/4

PLEASE HELP ASAP!!!!
1. Which shows the distributive property being applied to real numbers?
O (2.7). 9 = 2.(7.9)
O (2 + 7) + 9 = 2 + (7 +9)
O2(7+9) = (2) (7) + (2)(9)
02-7= 7.2


Answers

Step-by-step explanation:

the answer is the third one hope it helps though

Answer:

2(7+9) = (2) (7) + (2)(9)

i took the test

Need help
Use <,>,= to make a true statement
The square root of 54_7.4

Answers

Answer:

Answer is<

Step-by-step explanation:

the square root of 54 is 7.34<7.4

The slope of a line ST = −1. What is the value of y if S = (3,−2) and T = (−3,y).
How would I solve this?

Answers

Answer:

hope it helps thnk u .....ask if any queries

Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on the most recent math test, how many points did he earn on the previous test?

Question 16 options:

s 60


s ≤ 60

Answers

Answer:

it would be 60 on the previous test because 80-20=60

i dont know what the answer choice would be

hope this helps

have  great day/night

Find 0.2 of 0.5 Plz help

Answers

Answer:

The answer is 0.001.

Step-by-step explanation:

1% of 0.5 = 0.5/100 = 0.005.

0.2% of 0.5 = 0.2 x 0.005 = 0.001.

Answer:

0.10

Step-by-step explanation:

Solution given:

Over here

of means multiplication.

so

0.2 of 0.5=0.2*0.5=0.10

in angle HIJ the measure of angle J is equal to 90° HI is equal to 88 ft,and IJ=62ft . find the measure of angle I to the earest tenths of a degree

Answers

Answer: [tex]45.21^{\circ }[/tex]

Step-by-step explanation:

Given

[tex]\angle J=90^{\circ }[/tex]

HI=88 ft

IJ=62 ft

From the figure, we can write

[tex]\cos I=\frac{IJ}{HI}=\frac{62}{88}=\frac{31}{44}\\I=\cos^{-1} (\frac{31}{44})=45.207^{\circ }\approx 45.21^{\circ }[/tex]

If the radius is 11 mm, what is the height? Round the answer to the nearest tenth of a millimeter. 3.8 mm 3.8 mm3 14.7 mm 14.7 mm3

Answers

Answer: the answer is C. 14.7 mm

Step-by-step explanation:

Just took the quiz :)

Answer:

It's 14.7

Step-by-step explanation:

I just did the assignment(:

PLEASE HELP ASAP WILL GIVE BRAINLIEST.

Which functions are decreasing?


Select all answers that are correct.

Answers

Answer:

top-left and bottom-right are decreasing

Step-by-step explanation:

Decreasing means as you move to the right, the function gets smaller (as x increases, y decreases).

top left and bottom right

A mail truck picks up two boxes of mail from the post office. The total weight of the boxes is 35 pounds. One box is 5 pounds heavier than the other box.

How much does each box weigh?

The lighter box weighs pounds and the heavier box weighs pounds.

Answers

Answer:

30

Step-by-step explanation:

What is the value of Negative 3 r + 8 when r = 4?

-12
-4
4
12

Answers

-4 is the correct answer
The answer is -4!!!!!!

An Olympic swimmer can swim at a rate of 4 3/4 laps per minute for a time of 15 minutes. At this rate, how far can an Olympic swimmer swim?

Answers

Answer:

15min : 4 3/4 laps

30min : 9 2/4 laps

45min: 14 1/4 laps

60min: 20 laps

Step-by-step explanation:

Please I’m begging pls help me

Answers

Answer:

12- 706.5

13- true, false, true

14(A)- x= 4.50 + 0.75m

(B)- x= 8.25

x= 4.50 + 0.75(5)

x= 8.25

Step-by-step explanation:

sorry for the other time

Can someone help me I tried many ways but got a different answer

Answers

Answer:

v = 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Terms/Coefficients/Degrees

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

2v + 3v + 75 = 180

Step 2: Solve for v

Combine like terms:                    5v + 75 = 180Isolate v term:                              5v = 105Isolate v:                                       v = 21

Answer:

21 degrees

Step-by-step explanation:

3v + 2v + 75 = 108

3v + 2v = 5v

5v + 75 = 108

-75 -75

÷5. 105

÷5 = 21

X=21

A line has a slope of 1 and passes through the point (13,1) What is its equation in slope intercept form?

Answers

Answer:

y = x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (13, 1) into the partial equation

1 = 13 + c ⇒ c = 1 - 13 = - 12

y = x - 12 ← equation of line

CAN SOMEONE PLS HELP WITH THIS ASAP

Answers

Answer:

2,4,5 - obtuse angle

3,4,5 - right angle

6,7,8 - acute angle

7,9,15 - obtuse angle

3,3,10 - cannot form a triangle

the sum of two number is 45.if one of them is 27 ,find another​

Answers

Answer:

is 18

Step-by-step explanation:

simple you just subtract 27 for the original number

18
you need to do 45 subtract 27 which gives you 18

111 is what percent of 300

Answers

Step-by-step explanation:

111/300 x 100

111/3

=37%

37% is the answer for your question

What is the slope of the points
(-2,5) and (4,-6)?

Answers

Answer:

-11/6

Step-by-step explanation:

I NEED HELP ASAP!!! DUE AT 11:45

Answers

the first one because there are 2 repeat x values in it

the product of age of a person 10 year ago and 10 year after is 156.find​

Answers

Answer:

The age of the person now is 16 years old

Step-by-step explanation:

Let us solve the question

Assume that the age of the person now is x years old

∵ The age of the person now is x years old

∵ His age 10 years ago = x - 10

∵ His age 10 years after = x + 10

∵ The product of his ages 10 years ago and 10 years after is 156

→ Multiply his ages before and after and equate the product by 156

(x - 10)(x + 10) = 156

∵ (x - 10)(x + 10) = (x)(x) + (x)(10) + (-10)(x) + (-10)(10)

∴ (x - 10)(x + 10) = x² + 10x - 10x - 100

→ Add the like terms

∴ (x - 10)(x + 10) = x² + (10x - 10x) - 100

(x - 10)(x + 10) = x² - 100

→ Substitute it in the equation above

x² - 100 = 156

→ Add 100 to both sides

∴ x² - 100 + 100 = 156 + 100

x² = 256

→ Take √  for both sides

∴ √x² = √256

x = 16

∵ x represents his age now

The age of the person now is 16 years old

Lucy is driving to her aunt's house. The table shows the amount of gasoline in Lucy's car after the given number of hours driving. Determine the
initial amount of gasoline in the car when she started the trip. Assume that the relationship between the two quantities is linear.
a. 14
b. 12
c. 2
d. 0

Answers

Answer:

the answer is b 12

Step-by-step explanatio

35PTS if u can solve!!!
What is the value for y?

Answers

Answer:

y=14

x=25

Step-by-step explanation:

which value does w make true PLS HELP ME NOW IF U HELP U GET BRAINLISTED​

Answers

Answer:

A is the answer ,I am very sure

Step-by-step explanation:

The answer is a for sure

If i roll 2 dice what is the probability that both of them are prime and even?

Answers

Answer:

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

Step-by-step explanation:

Think of the possibilities of #s each dice can roll: 1 - 6. Only 2 is prime and even meaning that's only one of six possibilities. Since rolling two dice are two subsequent events, multiply the probabilities which should be exactly the same. [tex]\frac{1}{6} *\frac{1}{6}=\frac{1}{36}[/tex]

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