Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answers

Answer 1

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles


Related Questions

The problem requires to show the work, and provide justification statements that are mathematically correct explaining the reasoning.

Answers

Answer:

Step-by-step explanation:

From the table you have points (-1, 3) and (2, 9)

general equation

y-y1 = m (x-x1)

the slope m= (y2-y1) / (x2-x1) = 9-3/ 2+1 = 6/3 =2

so the equation shhould be

y+1=2(x-3)

Sydney equation is wrong because her slope is wrong 1/2

Increase £16470.45 by 3.5% by 2DP

Answers

Answer:

17,046.92 i think

Step-by-step explanation:

Gabe is analyzing the plane ticket prices over the years. Comparing the cost of a plane ticket this year to last year, ticket prices are 12% higer than they were last year. Create an expression that represents the difference between this year and last year

Answers

Answer:

The difference in prices is 0.12x where x is the last year’s price

Step-by-step explanation:

Here, we want to create an expression

Let the price last year be x

12% more this year mean;

x + 12% of x

= x + 0.12x = 1.12x

So the difference between this year and last year will be;

1.12x - x = 0.12x

a student purchased 7 binders for a total of $8.61. Write an equation that can be used to find the cost of each binder,n, in dollars. What is the cost ,in dollars, of each binder?

Answers

Answer:

$1.23

Step-by-step explanation:

divide 8.61 by 7 binders to get the final answer of $1.23

Given mn, find the value of x.
108

Answers

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

2/3=6/? means
2*6=3*?
2*3=6*?
2*?=3*6
2*?=3*?

Answers

Answer:

2/3 = 6/9

Step-by-step explanation:

2 x 3 = 6 so then you have to multiply 3 with 3 which is 9. (because the numerator and denominator should be multiplied by the same number.)

So thats why 2/3 = 6/9 is correct.

(9×9)×{-5}÷2=.....please help​

Answers

Answer:

405/2

202 remainder 1

Step-by-step explanation:

pliz mark brainliest

Answer:

81×(-5)÷2

-202.5

-405 down 2 , -202 1down2

Step-by-step explanation:

did I got wrong? ?

HELP MEEE!
7th grade mathhhh

Answers

Answer: Its C

Step-by-step explanation:

Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.

2/3 is closer to 1 and 1/5 is closer to 0

1st person to answer will receive brainliest!!!!

Answers

Answer:

ok

Step-by-step explanation:

:D

What is the value of $ + 2x?, when x = 3?

Answers

6 I’m pretty sure lol

Answer: 6

Step-by-step explanation:

+ 2x=2(x)=2(3)

A race car accelerates on a straight track from 0 to 100 km/h in 6 s. Another race car accelerates from 0 to 100 km/h in 5 s. Compare the velocities and accelerations of the cars during the race.

Answers

MAYBE TRY the answer100

Can someone help me please

Answers

Answer:

A

Step-by-step explanation:

When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.

I HAVE A TIME LIMIT PLZ HELP

Read the hypothetical situation below and answer the question that follows. On Independence Day, Allison’s grandfather tells her a story about his experience in the Army. Allison is so moved by the story that she decides to enlist in the Army the next day. The above story is an example of a __________ moment inspiring an act of good __________.

A.
patriotic . . . citizenship
B.
patriotic . . . prejudiced
C.
stereotype . . . patriotism
D.
open-minded . . . equality

Answers

Answer:

is A

Step-by-step explanation:

Answer:

A.  patriotic . . . citizenship

Step-by-step explanation:

Edge 2020 or Time4learning

I keep confusing myself trying to solve this ​

Answers

Answer:

No

Step-by-step explanation:

Each separate line could be part of a different plain.

Answer:

If two distinct planes intersect, then their intersection is a line. Through any two points, there is exactly one line. If two points lie in a plane, then the entire line containing those points lies in the plane.

Step-by-step explanation:

The setup fee for a photo book is $35. The papwe is an additional charge of $0.80 per page. What is the greatest number of pages that a book can have if the total bill is to be less than $50?
Please help, thanks! ☺

Answers

Answer:

18 pages

Step-by-step explanation:

18 pages would cost $14.40 and the you add $35 for the setup fee. This makes the total $49.4 and no more pages can be added because it would cost too much.

Sales at an airport shop has increased by 25 transactions to a total of 400 transactions per day. What is the increased transaction percentage?

Answers

Answer:

6.66

Step-by-step explanation:

6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!

Answers

Answer:

The answer to #6 is 255

The answer to #7 is the mint milkshake is thicker

The answer to #8 is A is 12 and B is 18

The answer to #9 is A is 33 and B is 15

Missing values:

1. 1:7 , 3:21, 18:126

2. 20:12 , 10/3:2 , 8 1/3:5

3. 42:21 , 6:3 , 48:24

4. 4:10 , 8:20 , 16:40

5. 36:32  18:16

Step-by-step explanation:

#2: The first ratio is shown, which is 5:3.  Meaning, that the bottom number (cakes) is multiplied by 5/3 in order to get the top number (pies).   We can apply that to the ratio with 12 cakes, 12 multiplied by 5/3 is 20.  The next ratio involved 10/3 pies.  Since that is the "top" number (see chart), 10/3 need to be multiplied by 3/5 instead of 5/3.  By doing that, the number of cakes is 2.  

#7: The ratio of milk to ice cream in the mint milkshake is 1.25:4

The ratio of milk to ice cream in the strawberry milkshake is 1.75:5

When the ratios are divided, the quotient for the mint milkshake (0.3125) is LESS than the quotient for the strawberry milkshake (0.35).  This means that there is less milk and more ice cream (ratio-wise) in the mint one.

Number 1 : adults to children 2:14 , 1:7, 3:21, 18:126
Number 2 :

A walking path is being built along the diagonal of a
rectangular park. Determine the length of the path, to the
nearest metre.
A 135 m
B 97 m
C 66 m
D 58 m​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Find m Of the function

Answers

Answer:

m=1

Step-by-step explanation:

slope formula is y=mx-b

whenever a variable is by itself, the coefficient is always 1

(-3.2)(-1.72) Write your answer to the nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

Answer: actually 5.504 rounded to 5.5

Step-by-step explanation:

Write the equation in slope intercept form of the line between the points (2,4) (6,-8) simplify your answer as much as possible.

Answers

Answer: Answer And explanation in picture

Step-by-step explanation:

please help meeeeeeeeeeee

Answers

Answer:

78°

Step-by-step explanation:

42+60=102

180-102=78

Answer:

Step-by-step explanation:

first find the final interior angle since we need it to find the exterior

60 + 42 = 102

180 - 102 = 78 degrees

then we just have to do 180 - 78 bc we have a straight line and straight lines are always 180 degrees

180 - 78 = 102 degrees

x = 102

you honestly could just take the 2 values you already know and add them and use that lol

hope this helps <3

Please help me with this question.​

Answers

Answer:

Area = 43.26

Step-by-step explanation:

There is a short way to do this.

Area = 1/2 s*t * Sin(R)

s = 14

t = 7

Area = 1/2 * 14 * 7 * Sin(62)

Area = 7 * 7 * sin(62)

Area = 49 * sin(62)

Area = 43.26

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

There is another way you could do this.

Use the Cos law to find r

Then use Heron's formula to find the area. Trust me, you don't want to do that.

Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.

please help ! I just wanna gts lol

Answers

Answer:

15y + 12

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] (10y + 8) = [tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8

Expand the brackets.

[tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8 = 15y + 12

I know the answer it is 5y+12

Help me please ! take your time and try your best thank you!

Answers

Answer:

C

Step-by-step explanation:

to find how much hours dan played the equation would be:

d = 2s - 4

to find the total:

s + d = 17

hope this helps :)

Answer: ABOVE

Explanation: This is what you did to countless others

Help me please :) Please and thanks

Answers

Answer:

1661.9

Step-by-step explanation:


An orange grove has 858 trees. There are 33 rows each with the same number of trees
Hon many trees are in each rows?


Answers

Answer:

26

Step-by-step explanation:

If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26

Answer:

26

Step-by-step explanation:

858 divided by 33 equals 26.

NEED A QUICK RESPONSE!!!
how many four digit perfect square palindromes are there?

Answers

Answer:

90

Step-by-step explanation:

.

8x+5=61 immma workk out fo yall
-5 -5
8x =56

Answers

Answer:

x = 7

Step-by-step explanation:

8x + 5 = 61

8x = 56

x = 7

Based on the housing data below, use linear regression to estimate a fair price for a 1900 ft2 home. Square Feet House Price (in thousands) 1400 1700 105 135 1500 183 O A. $140,000 B. $156,000 C. $160,000 D.- $176,000​

Answers

The solution is Option D.

The fair price of a 1900 ft² home is given by the equation A = $ 176,000

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the square feet of the house be represented as x

Let the number of houses be represented as y

Let the first point be P ( 1400 , 105)

Let the second point be Q ( 1500 , 183 )

Now , the slope of the equation is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = ( 183 - 105 ) / 1500 - 1400

Slope m = 78 / 100

Slope m = 0.78

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 1400 = 0.78 ( x - 105 )

On simplifying the equation , we get

y - 1400 = 0.78x - 81.9

Adding 1400 on both sides of the equation , we get

y = 0.78x + 1318.1

Therefore , the value of y is 0.78x + 1318.1

Hence , the equation of line is 0.78x + 1318.1 and the price is $ 176,000

To learn more about equation of line click :

https://brainly.com/question/14861637

#SPJ2

Answer:

Step-by-step explanation:

b i think

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