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

multiplication expression with a product of 132,849 is shown below. What is the missing digit?

four thousand five hundred eighty one times blank nine

Answers

Answer:

2 is the missing number

Step-by-step explanation:

if you divide 132,849 by the number already given (4,581), it gives you the answer (29)

have a lovely day <3

A small theater had 6 rows of 27 chairs each. Workers just removed 9 of these chairs. How many chairs are left?

Answers

Answer:

18

Step-by-step explanation:

27 - 9 = 18.

Answer:

153

Step-by-step explanation:

27*6-9=153

−16.2=x−(−9.3) HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPP

Answers

Answer:

x=-25.5

Step-by-step explanation:

-16.6=x-(-9.3)

-16.2=x+9.3

-16.2-9.3=x+9.3-9.3

-25.5=x

x=-25.5

Volleyball Village sells pairs of volleyball kneepads in black and white. Last month, they sold 5 pairs of black kneepads for every 2 pairs of white kneepads. If Volleyball Village sold 225 pairs of black kneepads last month, how many pairs of white kneepads did they sell?

Answers

Its 90 10x9+90 so 5x18=90

The sum of -5 and a certain number is 10. What is that number?

Answers

It seems we are looking for a math expression that is the same as English expression you wrote.

The sum is what we get when we add numbers. Therefore, we could restate the English expression as what do we get when we add 5 to the number x? While we do not know what specific number x represents, we do know that if we add 5 to the number x we get 5 plus x. Now the question can be restated as, "How do we write 5 plus the number x?" Do you know the answer now? Does 5 + x sound right? How about x + 5? Both of these expressions are correct as they both represent the sum of 5 and the number x.

Answer: the answer would be 15

Step-by-step explanation: you add 5 to the negitive 5 for it to become 0, then you just add 10.

I the custodian finds 4 rotting bananas in the dumpster in her first 13 weeks of work, how many rotting bananas would she expect to find in 26 weeks? Write a proportion to represent the problem. Use a variable, such as x, to represent the unknown quantity. rotting banana(s) week(s) Enter the number of rotting bananas that she expects to find in 26 weeks. *see picture for much better explanation* ​

Answers

Answer:

8

Step-by-step explanation:

4/13 x/26

4 times 26, the that number divided by 4. Its called the butterfly/cross multiplying method

4. x rotting bananas
—- =. ——————————
13. 26 weeks

She should expect 8 rotting bananas in 26 weeks!! I hope this helps !!

2. Put the following fractions in order of size, starting with the one with the least value:
3 /4, 9 /16, 3 /16, 7/ 8, 3/ 8

Answers

Answer:

3/16, 3/8, 9/16, 3/4, 7/8

if you convert all this fractions into 16's you'll be able to see that this is the order from least to greatest.

3/8=6/16

3/4=12/16

7/8=14/16

Answer:

ok

Step-by-step explanation:

3/16    9/16    3/8  3/4   7/8

i need help doing muiltpcation and division one numbers

Answers

Example of the equation you’re struggling with?
What’s the question

I just need answers I dont need an explanation!!

Answers

Step-by-step explanation:

-9

5

0

-8

well those are the answers

Answer:

6. -9

7. 5

8. 0

9. -8

How do I graph this??? HELP FAST

Answers

Answer:

the 2x and 1/2x are the slope.(rise over run)

the +2 and -1 are intercepts on the y axis

Step-by-step explanation:

Referring to the Fig. in Question #26, approximate from the graph
the time it takes the car to travel 900 feet.

Answers

[tex] \frac{900}{7 0} = 12.857.....[/tex]

It will take approximately 13 seconds.

Answer:

About 13 seconds

Step-by-step explanation:

900/70 = 12.85...

12.85 = 13

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

Which side must have the same length as BC?
*Brainliest for first correct answer*

Answers

Answer: RS

Step-by-step explanation:

Answer:

RS :)

It's the same shape but flipped and RS is equivalent to BC. :)

what is the answer 0,12km² a m² show work

Answers

Answer:

120 000 m^2

Step-by-step explanation:

I ASSUME you're being asked to convert from km^2 to m^2.

For this you need to identify the conversion rate, which is 1 000 000 m^2 / 1 km ^2. Multiply by the thing you're converting from and cancel the units.

(1 000 000 m^2 / 1 km ^2) x 0,12 km^2 = 120 000 m^2 (the km^2 cancels out, leaving you only with your target unit of m^2)

The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answers

Answer:

27 Gallons

Explanation:

2/9 of the container is already full, 12 gallons are added. After the 12 gallons are added, 6/9 is full.
12g (gallons) = 4/9 so,
12g + 12g = 24g or 8/9
1/9 = 3g
12g + 12g + 3g = 27 Gallons!!

the amusement park employs a street musician to entertain their guests at the west park they pay the musician a flat fee of $250 per week and she can also earn additional money in tips from the guests the average tip per guest is 1.50
if the musician need to earn no less than $400 per week what inequality represents the number of guests per week who need to tip the musician?

(answer choices are in that picture)

Answers

Answer:

If at least 100 guests tip her 1.50, she'll have reached her goal of 400$ per week.

Step-by-step explanation:

150 x 1.50=100
They would need 100 guests to tip to meet there goal of 400$

(Pls I need Help) Each figure shown is a constant enlargement of the previous figure. Which rule below could be used to determine the side length of the next figure in the series?

Answers

Answer:

I'm here for that the guy who has answer this is correct

Step-by-step explanation:

I had the same answer in got it right

Please help me with the Highlighted sentences I will give a lot of points.

Answers

Answer:

300, 80, 3 ( partial quotients)

383 (final quotient)

Step-by-step explanation:

7291 is the dividend

19 is the divisor

we have no quotient, so let us make Q our partial quotients

In step 1: Q = 5700 / 19 = 300

In step 2: Q = 1520 / 19 = 80

In step 3: Q = 57 / 19 = 3

14 Is the final remainder in which it isn't a multiple of 9

therefore the final quotient is adding all the partial quotients quotients in step 1, 2 and 3

300 + 80 + 3 = 383

x7=−0.21 helllllllllllllllllllllllllllppppp

Answers

Answer:

the answer is  -0.03

(-0.03)7= -0.21

i need help, can someone help??

Answers

Answer:

900 divided by 3 is 300 and 3*3=9 :)

Step-by-step explanation:

Not sure what the question was, but hope this helps!

900/3=300 ☺️ hope this helps! You’re doing great!

HELP FASSSSSSST
The figure below shows a plan of Mr Anand’s pavement patio outside his house. a) Calculate the perimeter of the figure below b) If costs $0.25 per cm 2to tile his pavement. Calculate the area of the pavement patio and hence calculate how much he needs to pay for tiling his pavement patio

Answers

a) 18.5 - you just add all the numbers and sides together

What is the answer of the question below.

Answers

c is your answer do good

Evaluate the expression for the given value of the variables 23+1/8t

Answers

I think is 1/8(184+t) that what I got because i factor out the 1/8

Answer:

Step-by-step explanation:

23+1=24/8t

Add 1 to 23

24/8t

Divide 8 on both sides

24/8 = 3

Answer 3t

Please help fast! I need it asap

Answers

Answer: so it goes -12-->4-->-5--->-7--->-1-->-9-->-6-->6-->45--->-36 And then your there! make sure you look at which numbers are positive and negative in my answer. your welcome :)

Step-by-step explanation:

Note that:

If you multiply 2 negative numbers, your answer will be positive.

If you multiply 1 negative & 1 positive number, your answer will be negative.

If you multiply 2 positive numbers, your answer will be positive.

Start:

-4 x 3 = -12

-2 x -2 = 4

25/(-5) = -5

(-49)/7 = -7

-5 x (1/5) = -1

(-3)(-3)(-1) = (-3 * -3)(-1) = (9)(-1) = -9

(3/4) x -8 = (3 * -8)/4 = 3 * -2 = -6

-18/-3 = 6

-9 x - 5 = 45

12/(-1/3) = 12 * -3 = -36

Finish.

~

the code will be the sum of all your answers:

-12 + 4 - 5 - 7 - 1 - 9 - 6 + 6 + 45 - 36 = -21

-21 is your code.

~

n Richmond, Virginia, the average daily high temperature was 90°F for July. The average daily low temperatures for the same month was 69°F. What is the percent change between the high and low temperatures in July?

Answers

Average Temperatures for Richmond
Month Low High
Jun 63.3°F 83.6°F
Jul 68.3°F 87.5°F
Aug 66.8°F 85.7°F
Sept 59.9°F 79.7°F

Which number line shows the solution to 5 + (−5)?
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to negative 10 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 10 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 0 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Answers

Answer:

A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 0 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

The answer is A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 0 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow because 5 + (-5) is the same as 5 - 5, which equals 0, which is what the arrow points to in A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 5 is shown. Above this, another arrow pointing from 5 to 0 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Answer:

An arrow pointing from 0 to negative 5 is shown. Above this, another arrow pointing from negative 5 to 5 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

This may mean that 5-5=0 and that the negative 5 is arrowed to show the direction 0 to -5 and the 0 to 5 shows the answer.

The formula y = 0.394x converts a length x in
centimeters to an approximate length y in inches.
Find the approximate length in inches of an object that
is 25 centimeters long.

Answers

0.025 i hope this helps you out
0.025 is the answer
Hope this helped my friend
(mark me as brainlist)

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 :)

whats the answer??????

Answers

4/1 x 3/2 = 12/2
6/9 x 1/7 = 6/63
5/6 x 2/1 = 10/6
8/3 x 1/6 = 8/18
8/1 x 5/8 = 40/8

Find the rule, and type the missing number in the sequence
96, 192, _, 384​

Answers

Answer:

96, 192, 288, 384

Step-by-step:

First we find the difference between the first 2 digits so we subtract them both from each other

192-96

which is

=96

therefore its safe to say that +96 is the rule of the sequence

so I did 192+96 to find the missing number which gave me

=288

Hope this helped you- have a good day bro cya)

Answer:

288

Step-by-step explanation:

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