Alonzo will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $50 and costs an additional 0.10 per mile driven. The second plan has no initial fee but costs 0.60 per mile driven. How many miles would Alonzo need to drive for the two plans to cost the same?

Answers

Answer 1

Answer:

100 miles

Step-by-step explanation:

If Alonzo drives 0 miles, then the first plan would cost him 50 dollars and the second plan would cost him nothing.

If Alonzo drives 10 miles, then the first plan would cost him 51 dollars and the second plan would cost him 6 dollars.

From these statements, we can observe that the second plan is increasing at a rate 6 times the first one and will overtake it at one point.

Our solution is the point of intersection between these two functions - where they cost the same.

To find this, equate

0.1x + 50 = 0.6x

where x is the number of miles Alonzo drives,

multiply the equation with 10 to get,

x + 500 = 6x

subtract x,

5x = 500

and divide 5,

x = 100.

So at 100 miles, both plan 1 and 2 will cost 60$. This is our answer. Good Luck!


Related Questions

yall good at slope? if so, i need help

Answers

Answer:

Undefined

Step-by-step explanation:

It's undefined since slope is based on the x coordinate, and since it doesn't change here there is none. It's also undefined because the line is vertical. Hope this helps :)

the slope would be undefined

how do we know that we Enlarged by 2?

Answers

Answer:

ggg

Step-by-step explanation:

I think you multiply everything by 2 but I’m not fully sure

Referring to the figure, find the surface area
of the cylinder shown. Round to the nearest whole number.

Answers

Answer:

2545 m rounded from 2544.69

Step-by-step explanation:

A=2 π r h + 2 π r 2 = 2 · π · 15 · 12 + 2 · π  ·152

≈ 2544.69005

rounded to 2545

~~~

the answer is 2545 your welcome

What is the BEST word to describe the probability that the spinner will stop on 3 or 4? A) certain B) unlikely C) impossible D) very likely

The answer is C, Unlikely, I did the test and got 100, don't listen to the impossible ones :)

Answers

Answer - c) unlikely ....

Answer:d

Step-by-step explanation:

if possible,find the missing side length labeled with a question mark. if not possible, explain why. on the left at here are 6 inches 6 inches twice . inside the triangle there are 36 inches 36 inches twice. and the in the bottom there is 20 inches

Answers

Answer:

10 inches

Step-by-step explanation:

They're 36 degrees, so corresponding angles are the same, so the middle line is parallel to the bottom line of the triangle.

But the middle line bisects one of the waist lines of the triangle, so this is the middle line, which is equal to half the length of the bottom line

The answer is 10 inches :3

what are the 3 steps to become civilizations?

Answers

large population centers; (2) monumental architecture and unique art styles; (3) shared communication strategies

Answer:

Civilizations expand through trade, conflict, and exploration.

Step-by-step explanation:

help.....................

Answers

Answer:

See below

Step-by-step explanation:

(0,16) - y axis

(2, -12) - IV

(-1, 2) - II

(3, 0) - x axis

(36.7, 3.9) quadrant I

(-5/8, -5 1/3) - III

Answer:

(0,16) Y-axis

(2,-12) Quadrant 4

(-1,2) Quadrant 2

(3,0) X-Axis

(36.7, 3.9) Quadrant 1

(-5/8, -5 1/3) Quadrant 3

need help on slope!!

Answers

Answer:

option 2

Step-by-step explanation:

trust

Answer:

Slope = -3/2. y-intercept = (1,0)

My sister is in 10th grade and she told me this was correct.

I hope you have a great weekend :)

Someone please help. Explain why it might be easier to solve the multiplication problem by changing it from this: 5×98×2 , to this: 5×2×98 . Use a property of multiplication to justify your reasoning.

Answers

Answer:

Because it is easy to multiply 5 by 2 which is 10......and then 10 × 98 youbjust have to add 0 to 98.....which will be 980

The multiplication problem can be simplified by the equation A = 5 x 2 x 98 and the value of A = 980

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 5 x 98 x 2

On simplifying , we get

From the associative property , we get

A = ( 5 x 2 ) x 98

where the value of 5 x 2 = 10

So , the multiplication expression is

A = 10 x 98

A = 980

Therefore , the value of A is 980

Hence , the equation is A = 980

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ3

Find the distance between the points. Write
your answer in simplest form.
(3,-4), (4,3)

Answers

I think the answer would be 8
Exact Form:
5√2
Decimal Form:
7.07106781

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.

What does the point (0, 0) on the graph represent?

The cost of one bag of peanuts
The cost of zero bags of peanuts
The cost of two bags of peanuts
The cost of three bags of peanuts

Answers

The equation of the line through the given points is required.

The equation of the line is

The points on the graph are

Let us take two points and find the line between them.

and

The equation of the line is

Learn more:

brainly.com/question/17088101

brainly.com/question/21294876

Answer:

The cost of zero bags of peanuts

Step-by-step explanation:

Since x represents the number of bags of peanuts, in (0, 0), 0 is the x-value, so the point will represent the cost of zero bags of peanuts.

Hope this helps!

An orchard sells apples in 5.5‐pound bags. The orchard sells 65 bags of apples each day.

How many pounds of apples does the orchard sell in 1 week?

The orchard sells
pounds in 1 week.

Answers

Answer:

2502.5 pounds

Step-by-step explanation:

Answer:

2,503 pounds

Step-by-step explanation:

Multiply the amount of bags sold by the number of days within a week.

65 x 7 = 455

In 1 week 455 bags of apples are sold.

The next step is to multiply the total amount of bags sold in 1 week by the pound of 1 bag of apples.

455 x 5.5 = 2,502.5lbs

2,503lbs (rounding to the nearest whole number) of apples are sold in 1 week.

A basket contains 3 apples and 7 oranges. A fruit is drawn and put back into the basket. This process is repeated 3 times. What is the probability that selected three fruits are orange? **Please answer in fractions only!**

Answers

Answer:

the fraction of oranges in the basket would be 8/15 because we have 8 oranges and 15 fruits in total

Step-by-step explanation:

The probability for selection orange thrice from basket is 343/100.

What is the definition of the probability?Probability is synonymous with possibility. It is a mathematical branch that deals with incidence of a random event. The value ranges from zero to one. Probability has just been introduced in mathematics to predict the likelihood of events occurring.

A basket contains 3 apples and 7 oranges.

Total fruits = 10.

A fruit is selected from the basket three times with replacement.

The probability for the selection of one orange is 7/10.

The probability for the selection of second orange is 7/10.

The probability for the selection of third orange is 7/10.

Thus, the probability for selection orange thrice is;

Probability (3 times orange) = 7/10×7/10×7/10

Probability (3 times orange) = 343/100

Thus, the probability for selection orange thrice from basket is 343/100.

To know more about the probability, here

https://brainly.com/question/24756209

#SPJ2

Which of the following represents, the difference of a number squared and four is less than or equal to five.

Answers

Answer:

x² - (4 ≤ 5)

Step-by-step explanation:

(I have x representing the number that is squared, it might be a different letter on your options, but regardless it will be the same general answer. You also may not need the parentheses around the 4 ≤ 5)

Difference means subtraction so we know that the second number/group of numbers will be subtracted from the first that is listed.

Next, if you are squaring any number it's going to have the little 2 to the right of it. That's what that means.

Then, we look at that last bit. "Four is less than or equal to five." This means exactly how it sounds. To write this we need the symbol ≤. This symbol means less than or equal to. You would would but the 4 in front and the 5 in back to get 4 ≤ 5.

Now we just put it together. It tells us that 4 ≤ 5 is being subtracted from a number squared. So this means that a number squared needs to be first, and because difference means subtraction, we would subtract 4 ≤ 5 from that. A number squared can be represented by any letter variable, but for this example, I will use x.

This leaves you with x² - (4 ≤ 5)

I hope this helped :)

 The anwser is x2-4≤54-x2≤ 5.

help!! i'll give brainliest!!

Answers

Answer:

The answer is B&C but I'm not gonna give the answer its up to you to pick out if its B or C

Step-by-step explanation:

it’s c love square root of 3 is 1.73 so 1/3 is less than that

Which ordered pair is a solution of the equation?
y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis

(Choice B)
B
Only (3,2)(3,2)left parenthesis, 3, comma, 2, right parenthesis

(Choice C)
C
Both (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (3,2)(3,2)left parenthesis, 3, comma, 2, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

b

Step-by-step explanation:

i had this on a test

The Answer is B :).

REPOST DON'T SPAM RANDOM LINKS


Use the steps below to answer questions 4-5.

Step 1: 2/3 (15a+27b+9a-12a)


Step 2:10a+18b+6a-8a


Step 3:10a+18b+(6a-8a)


Step 4: 8a + 18b


4.Which property below is used between Steps 1 and 2?

A.Associative property

B.Commuatative property

C.Distributive property

D.Identity property


5.Which property below is used between Steps 2 and 3?

A.Associative property

B.Commuatative property

C.Identity property

D.Inverse property

Answers

Answer:

8a+3a=2z+4(283)

Step-by-step explanation:

Jtfopwwwdfgi kg detikhfr

please help............

Answers

Answer:

12

Step-by-step explanation:

1st to solve : *

-3 * 4 = - 12

-------------------------

4^2 - 12 + 7

16 - 12 + 7

4 + 7

12

Answer: 19.6 I think

Step-by-step explanation:

THIS IS VERY ERGENT PLEASE HELP

Answers

Answer: 357

Step-by-step explanation: To get the answer above, simply subtract 16% from 425.

The answer is 357 :)

Referring to the figure, find the area of the
trapezoid shown.

Answers

Answer:

720 in

Step-by-step explanation:

It’s 720 in I think :p

Got it this time so pls help

Answers

It’s really blurry can you take a clearer photo

Answer:

I attached the solution as a PDF, I am unsure what the assignment wanted for question 3 part a), so I assumed they wanted the length value of the perpendicular line.

Step-by-step explanation:

You are moving some of your belongings into a storage facility.

STEP 1 : a. Identify an inequality that represents the number x
of boxes that you can stack vertically in the storage unit.

Solve the inequality. Write the solution in simplest form.
The solution is_ .

STEP 2 : b. What is the height of 6 boxes stacked vertically?

The height is _ inches.

How many boxes can stack vertically in the storage unit?

_boxes

Answers

Answer: c

Step-by-step explanation: because you can see how it alike

The answer is C hope it helped :3

Referring to the Fig. in Question #34, find the midpoint of
__
CD.

Answers

Answer:

(0.5,0)

Step-by-step explanation:

Answer:

The answer should be (0,0.5)

Step-by-step explanation:

if it is wrong then I am sorry:'(

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
1. If she eats 2 servings of granola, how many calories does she eat?
2. If she wants to eat 175 calories of granola, how many servings should she eat?
3. Write an equation to represent the relationship between the number of calories and the number of servings of granola.

Answers

Answer: 350 Calories

Step-by-step explanation:

I did this in school hope this helps!

1. 1750/5=350 (to find out how many calories for 1 bar) 350*2=700
2. 300=1 serving and since you want 175 you set up a faction so you will have 300/1 = 175/? Then you would cross multiple and divide so 175*1= 175 and then divided 175/300= about 0.6 servings
3. 300:1

HELP PLS 7TH GRADE MATH: Coach Jenny spent 1/6
of her day swimming, 1/3 of her day playing basketball and 4/24 of her day playing softball. How much of the day did Coach spend playing sports?

Answers

Answer- 2/3
This is the answer because all you had to do was add the fractions :)

Solve the equation: 196 = t2
Do not type the variable, only type the numerical
portion of the answer.
If there are two solutions, separate the two
solutions with a comma.

Answers

Answer:

14, -14

Step-by-step explanation:

T=98 that’s the right answer

Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.

Plz whoever actually knows the answer please answer correct

Answers

Answer: UwU

Im trying to solve it but its so much

18 because I’m smart and I’ve already been in middle school

An elephant at the zoo lost 24 pounds over 6 months.The elephant lost the same amount of weight each month.Write an integer that represents the change in the elephant's weight each month.

Answers

48 is the answer you are looking for

Answer:

He loses 4 pounds which is (-4)

Why?

Because it says that the elephant lost 24 pounds in 6 months which will represent (-24). Then (-24)/6 = (-4)

Therefore, he takes (-4) pounds in his weight each month.

Hope this helps!

Mark me as brainliest if you find this answer useful too!

God help me pls, free brainiac

Answers

Answer:

a)he payed $0.50 per pound or rice

b)6.13lbs/pounds of seed per acre

ROUND TO NEAREST 100TH means that 6.125 would be 6.13

Step-by-step explanation:

a: $10/20=answer

b: 49lbs/8=answer

Answer:

A) He paid $0.50 per pound of rice

B) 6 1/8 or 6.125 lbs/pounds of seed per acre

(You have to round to the nearest hundredth)

Step-by-step explanation:

A) $10/20

B) 49lbs/8

ANSWER NUMBER 1 AND 2 PLEASE PLEASE I WILL GIVE THE FIRST PERSON TO ANSWER BRAINLIEST

Answers

Answer:

in number 1 I think D is wrong and in number 2 A is correct

Answer:

1. The last one

2. The first one

Step-by-step explanation:

Other Questions
Which statement about Navajo weavings is true?They have traditional patterns like stripes or diamonds.They were used as tablecloths.They were made of alpaca wool.They have traditional colors like violet and pink. (x + 1) divided by 6ypls show working out pls thx. government failure"" is defined as a situation in which GUYSSS PLSSS HELP ME WITH THIS QUESTION :)) Use a truth table to determine whether to two statements are equivalent Which statement about exothermic reactions is TRUE? A.In an exothermic reaction, energy is absorbed, bonds are broken, and the temperature decreases.B. In an exothermic reaction, energy is released, bonds are formed, and the temperature increases. PLEASE ANYBODY WHO GETS THIS CORRECT WILL RECEIVE A LOT OF POINTS. THE ONES THAT ARE BLANK ARE THE ANSWER OPTIONS. Mr. Ben drove from Town A to Town B. For the first 3 hours, he traveled at an average speed of 60 km/h, and after that, he drove at another average speed of 70 km/h. If the distance between Town A and B is 460 km, what was the total time for the whole journey? Mother is in 1st period uh you guys have fun loves What is social well-being What event has Mrs. Bennet so excited at the 4.beginning of the excerpt and why? What doesshe want Mr. Bennet to do in response to thisevent? Cite textual evidence to support yourresponse. let this _______________ be in you which was also in christ jesus, What are the warnings about the effects of Medicine Misuse and Abuse? Which of the following was a provision of the Chinese Exclusion Act that affected Chinese immigrants who were already in the United States?The act forced Chinese immigrants to return to China.The act prohibited Chinese immigrants from becoming American citizens.The act prohibited Chinese immigrants from entering the United States.The act prohibited Chinese immigrants from forming Chinatowns. c: how long does it take the snail to crawl 85 inches NEED ANSWER ASAPP PLSSSINCLUDES PICTURE OF GRAPH (Need answer ASAP): PLEASE NO LINKS!QUESTION: What is the RHYTHM of the song SAKURA SAKURA? 5 positive integers are arranged in ascending order, as follows:5, 7, 10, 11, XThe mean and the median are equal.Find X. Write numbers in the number grid to make it correct 4+?+9+?+?= 35 which contaminant poses the greatest foodborne illness n what city where the first photograph of people was captured, are tensions over road space simmering between drivers and bikers City only