A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile. Write an equation relating
m, the number of miles driven, if the total cost for a one-day rental was $131.

Part A. Write an equation relating m , the number of miles driven, if the total cost for a one-day rental was $131.

Part B. Find the solution to the equation you created in the previous question and explain what the solution means in this situation.

Answers

Answer 1

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

According to the question;

The agency charges $75 per day, which includes 100 miles.

Additionally, the agency charges $0.35 per mile for each additional mile;

a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;

$0.35m + $75 = $131.

b) To find the solution to the equation;

$0.35m = $131 - $75

$0.35m = $56

m = $56/$0.35

m = 160.

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.

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Related Questions

2. Ms. De Los Santos bought 5 3/7 gallons of ice cream for the 6th grade Wakanda Day celebration. If each scholar is served 1/16 gallon of ice cream, what is the greatest number of scholars that can be served?

Answers

So we convert both to improper fractions.
38/7 and 1/16
Now we make them the same denominator
608/112 and 7/112
Now we divide 608 by 7
Maximum amount which can be given is 85 scholars.
Give me brainliest answer!

A certain substance in an experiment was being stored at −1.7°F. It was then placed on a table where the temperature was raised by 3.1F
What was the new temperature of the substance?
the answers are
-4.8F
-1.4F
1.4F
4.8F

Answers

1.4F. When you add 3.1 to -1.7 you get 14F

Answer:

The answer is 1.4.

Step-by-step explanation:

HELPPP PLEASEEE!!!!!!!

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Answer:

CFX, ADC

Step-by-step explanation:

CFX is just a larger version of AEX. Same thing with CFX.

6. Write the statements "If you take away 6 from 6 time a number, you get
60” in the form of equations:
(a) 6x + 6 = 60
(b) 6x6 = 60
(c) X-6 = 60
(d) none of these

Answers

Answer:

6x-6=60 so if you correctly typed the question its none of them

what is the square root of 9 and 4

Answers

Answer:

3/2

Step-by-step explanation :

Square root of 9 and 4 is 3/2 because it just is

NEEDS TO BE CORRECT PLZ HELP

Answers

C

Step-by-step explanation:

Linear pair

it's hope it helpful to you

Answer:

c

Step-by-step explanation:

its a pair

The value of the digit in the thousands place is_______ times as much as the digit in the hundredths place

Answers

The thousands place is 10 times the value of the hundreds place

−4 + 20 > −8 what the answers

Answers

Answer: -20

Step-by-step explanation: plz mark me brainliest please?

Subtraction of integers
-70 --25 =

Answers

Answer:

-45

Step-by-step explanation:

-70 --25

-×-=+

-70 +25

-45

15.38 x 10-2 in standard form

Answers

Answer:

[tex]15.38 \times {10}^{ - 2} = 0.1538[/tex]

I hope I helped you^_^

15.38x10^-2 isn't proper scientific notation.

The coefficient must be between 1 and 10.

Proper scientific notation would be

1.538 x 10^-1

Convert into standard form:

0.5138 is our answer.

And we're done!

Hope it helps you! :)

[tex]-GraceRosalia[/tex]

solve please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

it is very easy solve I will tell you if u follow me we should help each other

make sure to show your work. Please dont answer if you dont know. There are two attachments.
Your prize: Brainliest and 30 points

Answers

Step-by-step explanation:

Number 1

180° = x + 70° + 55° + 30°

180° = x + 155°

x = 180° - 155°

x = 25°

Number 2

x° = 93°

y° = 47°

z° = 180° - 47° - 93°

z° = 180° - 140°

z° = 40°

#LearnWithEXO

The school colors at Mission Middle School are green and white. Kendra volunteered to make cupcakes
for the school bake sale. To make the right shade of green frosting, she uses 7 drops of blue food
coloring for every 3 drops of yellow food coloring.

Answers

64 will be your answer because the amount of blue each time time used for each cupcake will be multiplied into 3 which will be 3

find the midpoint and distance between (5,1) and (-15,11)

Answers

Answer:

look i think is -5.005 I don't really know but I hope you get it right. Have a good day

209
У.
Х
120°
y = [ ? 1°

Answers

Answer:

140

Step-by-step explanation:

one exterior = the sum of two interior

20% of what number is 75?

Answers

Answer:

15

Step-by-step explanation:

Answer:  375

Step-by-step explanation:

y=-2/3x + 7 what is the slope?

Answers

Answer:

Lucky for you i'm good at algebra:)

Step-by-step explanation:

Slope:  -2/3

Y-intercepts: (0,7)

Answer:

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2/3*x+7)=0

Step 1:

Simplify    2/3

Equation at the end of step 1:

y -  ((0 -(2/3• x)) +  7)  = 0

Step 2: Rewriting the whole as an Equivalent Fraction

Rewrite the whole as a fraction using  3  as the denominator :

7 = 7/1  =  7 · 3 /3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-2x+7·3/3 = 21-2x/3

Equation at the end of step 2:

y-(21-2x)/3=0

Step 3:

Rewriting the whole as an Equivalent Fraction :

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

y=y/1=y·3/3

Adding fractions that have a common denominator :

 Adding up the two equivalent fractions

y • 3 - ((21-2x))     3y + 2x - 21

—————————————————  =  ————————————

        3                  3      

Equation at the end of step

3

:

 3y + 2x - 21

 ————————————  = 0  

      3      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+2x-21

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+2x-21  = 0

Equation of a Straight Line

4.2     Solve   3y+2x-21  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+2x-21  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 21/3  =  7  

Calculate the X-Intercept :

When y = 0 the value of x is 21/2 Our line therefore "cuts" the x axis at x=10.50000

 x-intercept = 21/2  = 10.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 5.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.667 - 7.000 = -1.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.333/2.000 = -0.667  

Geometric figure: Straight Line

 Slope = -1.333/2.000 = -0.667

 x-intercept = 21/2 = 10.50000

 y-intercept = 21/3 = 7

the sum of two numbers is 6 and the sum of their squares is 28. Find the exact values of these numbers

Answers

Answer:

The highest value I could get, without going over, is 5+1=6 and 25+1=26

Step-by-step explanation:

please help me due soon

Answers

Answer:

- 7.2

Step-by-step explanation:

it is division and we need to take the reciprocal and multiply it will be -9/5. we need to simplify leaving us -7.2

Find the exact value of each variable that represents its side length in a right triangle. Please help me with this ASAP!

Answers

Answer:

[tex]h=6[/tex]

[tex]k=2.5[/tex]

[tex]m=\sqrt{21}[/tex]

[tex]n=3\sqrt{10}[/tex]

[tex]p=\sqrt{17}[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem in each case.

Pythagorean Theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where [tex]a[/tex] and [tex]b[/tex] are two sides of a right-angle triangle and [tex]c[/tex] is Hypotenuse (the longest side opposite to the right angle)

For [tex]h[/tex]:

[tex]h^{2} +8^{2} =10^{2}[/tex]

[tex]h^{2} +64=100[/tex]

Subtract 64 from both sides:

[tex]h^{2} =100-64[/tex]

[tex]h^{2} =36\\[/tex]

[tex]h=\sqrt{36}[/tex]

[tex]h=6[/tex]

We follow the same process to find  [tex]k,m,n[/tex] and [tex]p[/tex].

Ian​'s car can go 231 miles on 7 gallons of gas. During a drive last​ weekend, Ian used 5 gallons of gas. How far did he ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.

Answers

Answer:

165 miles

Step-by-step explanation:

part 1

231/7= 33 mpg

33x5 = 165 miles

part 2

distance/mpg = gas used

for example: if you were told he went 200 miles,

200/33 = 6.06 gallons of gas

Given :

Ian's car can go 231 miles on 7 gallons of gas.

During a drive last weekend, lan used

5gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 231 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 231/7mi

On 5 , it will go 231/7*5 = q65 miles

Hence the required answer is 165 miles

A Bike rental place rents bikes for $22 plus $8 per hour. Mary paid $67 to rent a bike. Write and solve an equation to represent how many hours she rented the bike.

Answers

Answer:

8x+22=67

Step-by-step explanation:

Evaluating Expressions please help!!!

Answers

-1 is the correct answer
Hope it helps

wins some money on the lottery. She uses 1/3 of her lottery win to buy a house
and she gives 1/8 of her lottery win to charity. Molly then shares the remainder of her
lottery win equally among her four children. Work out the fraction of Molly's lottery
win that each of her four children receives.

Answers

Answer:11/96

Step-by-step explanation:

1-(1/3)=2/3=14/24

(2/3)-(1/8)=(14/24)-(3/24)=11/24

11/24 divided into 4 again is 11/96

Which is the better buy?

A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?

Please show ALL of your work.

hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.

Answers

Answer: The first box (the 450 g box for $4.69)

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

Explanation:

To get the unit cost, we'll divide each price by the weight

The first box has a unit cost of (4.69)/450 = 0.010422 approximately which rounds to 0.01; so this unit cost is approximately $0.01 per gram or 1 cent per gram.

For the second box, its unit cost is (6.49)/600 = 0.0108167 approximately. When we round to the nearest cent, we get the same unit cost as before. Without rounding, we see that the first box has a slightly lower unit cost. Therefore box 1 is the better buy.

Don’t understand I’ll give u a brainly

Answers

It is the second one (B)

The answer is the second one

yis inversely proportional tox.Wheny=50,x=4Work outywhenx=8

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Answer:

55555

Step-by-step explanation:

Please help with this question

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D
That’s the answer
624

answerrrrrrrrrrrrrrrrrr plzzzzzzz

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Answer:

X=24

Step-by-step explanation:

55-31 is 24

Answer:

x+31°=55°[alternate angle]

x=55°-31°

x=24°

answer

A list of numbers is given below. If x is a number in this list, which inequality could represent x? {-5, -12, -2, -9}

Answers

Answer:

x<-1

Step-by-step explanation:

All of the numbers on/in the set are below -1. That means for that any of them to be x, the inequality would be x<-1.

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