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:

for plan B if he rides for 100 miles he will pay 60$

for plan A if he rides for 100 miles he will pay 60$

Step-by-step explanation:

the reason is that B. 100x0.60=60

and A (100x0.10)+50=60

Answer 2

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

2ND TIME REPOST

Students in a science class are divided into 6 equal groups with at least 4 students in each group for a project. Identify an inequality that represents the number of students in the class.PLEASE ANSWER BOTH STEPS!!!

Solve the Inequality.
The solution is .

Answers

Are you trying to figure out what X is? One of the equations equal to 4, and the rest equal to 24.
The inequality would be the third one

Which of the following is an example of the associative property?

1. 2(5 - 3) = 10 - 6
2. 11 + (6 + 8) = 11 + (28 + 6)
3. -7 + (19 + 5) = (-7 + 19) + 5
4. 1/3 • 3 = 1

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Answer:

2 is the correct answer

Mabye 2 not sure thanks

Referring to the figure, find the unknown
length x.

Answers

The unknown length is 4

(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

Find the sum
−1/2(7z+4)+15(5z−15)

Answers

Answer:[tex]\frac{143x-453}{2}[/tex]

The coordinate grid represents a map of Yvon's town.

Yvon's house is located at (5,−2)
Yvon walks four squares down and five squares left to reach the grocery store
Click on the coordinate grid to place a point at the location of the grocery store.
please draw it on the picture below.

Answers

Answer:

-1,-6

i think

Why is 2 + (−3) equal to −1?

Answers

Beacuse there are more negatives than positive. 3-2=1 just put negatives with it.

Answer:

when you minis a negative number from a positive you would subtract but scene you have a positive plus a negative you would take it as 2 - 3 becuse the 3 is negative

Step-by-step explanation:

2+-3 is -1

What is (1.18 x 10^3) x (9.1 x10^-6) in scientific notation?

Answers

Answer:

Im assuming you are trying to convert scientific notation to a number. In that case 1.18 x 10 to the third power would be 1,180 and 9.1 x 10 to the -6 would be .0000091.

Hope this helps!

Step-by-step explanation:

Answer:

Your answer would be 2.07794311 x 10^-3

I hope this helps :)

Which equation represents the line through (4, -6) and (0, 2)?
y= -2x + 2
y= 2x - 2
y= 2x + 2
y= -2x - 2
Explain your answer for Brainlest

Answers

Answer:

y = 2x+2

Step-by-step explanation:

find gradient by using the gradient formula (m= y2-y1÷x2-x1)

then find C

y= mx+c

the replace c and m in the equation (y=mx+c)

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct equation is :

[tex]y = - 2x + 2[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

The given points are :

(4 , -6)

(0 , 2)

we can see that the y - intercept (c) is 2, from point (0 , 2)

now, let's find the slope (m) :

[tex] \dfrac{2 - ( - 6)}{0 - 4} [/tex]

[tex] \dfrac{2 + 6}{ - 4} [/tex]

[tex] \dfrac{8}{ - 4} [/tex]

[tex] - 2[/tex]

now, the equation of line will be :

[tex]y = mx + c[/tex]

[tex]y = - 2x + 2[/tex]

How do I solve an inequality with fractions?
Example:

Answers

Here you go have a nice day <3

Answer: elimanate, simplify, add or subtract

Step-by-step explanation: you first eliminate your fractions by multiplying all terms by the least common denominator of all fractions.

next you Simplify by combining like terms on each side of the inequality.

then you Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Here's what the problem looks like.

Answers

Answer: It is the first one.

Step-by-step explanation: Give brainliest

tom drives at a constant rate of 40 miles per hour for 3 hours.how far will he travel at that time?
A.350 mi.
B.220 mi.
C.120 mi.
D. 60 mi.

Answers

Answer: C. 120 mi.

Step-by-step explanation:

To get the answer C you take the constant rate which is 40 and multiply it by the amount of hours which is 3. Hope this helps!

Answer:

C. 120 mi.

Step-by-step explanation:

If he is constantly going 40 miles per hour. That means every hour, he goes 40 miles. So if he drives 3 hours, he would drive 120 miles because 40 miles +40 miles+40 miles=120 miles. Aka 40 times 3 to get 120 miles.

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.

2 4/5−1 1/2


as a fraction

Answers

The answer is 1 3/10. This is because if we turn them into a mixed fraction we get 14/5 and 3/2. Then we find the least common denominator which is 10. So we multiply 5x2 and 14x2 to get a new fraction of 28/10 and then multiply 3x5 and 2x5 which gets us 15/10. Now that both fractions have a common denominator we can just subtract 28/10-15/10 which is 13/10 which is equal to 1 3/10.
13/10 hope this helps

Urgent help with volume will give 20 points

Answers

A is 140
B is 180
C is 120
Hope this helps

A fish is hovering at –320 feet in relation to sea level. Then it descends 2 feet per second for 8 seconds. Brenda says that the new position of the fish in relation to sea level is represented by the equation below.

2 times 8 + (negative 320) = 336

Which explains whether Brenda is correct?
1. Brenda is correct because her answer represents 336 feet below sea level.
2. Brenda is correct because Negative 16 + (negative 320) = 336.
3. Brenda is not correct because the new position is 2 times 8 + (negative 320) = negative 304.
4. Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336.

Answers

Answer:

Step-by-step explanation:

3

Look at the attachment, and please answer my question, thanks!

Answers

Answer:

physician's not physicians'

Answer:

physician's

Step-by-step explanation:

" physicians' " doesn't make sense where it is in the sentence.

It's just physician's.

Select all the statements that must be true for any scaled copy queue of polygon P.

Answers

Answer:

im on that exact question and dont understand it either...

Step-by-step explanation:

A and C, not sure on the others


Step by step explanation

I need help whats 3 4/15 divided by (8*6 3/10) please give me a good answer

Answers

Answer:

7/108 or .006481

Step-by-step explanation:

The answer is 7/108
Plz make me brainliest plz

Referring to the figure, find the unknown
length X.

Answers

Answer:

50

Step-by-step explanation:

Answer:

sin30°=x/50

1/2=x/50

2x=50×1

2x=50

x=50/2

x=25

tan30°=25/y

[tex] \frac{1}{ \sqrt{3 } } = \frac{25}{y} \\ y = 25\sqrt{3} [/tex]

tell me if it's wrong.

pls help me
also pls put the right answer

Answers

Answer:

:]

Step-by-step explanation:

How do division properties help you evaluate expressions?

Drag a word or number to the box to correctly complete the statement.

When the Response area of a fraction is equal to Response area, the value of the fraction is 0.

Answers

Answer:

what grade is this? so i can properflyy help?

Step-by-step explanation:

Where are the number boxes?

Please Help me I have no clue if i'm right

Answers

Answer:

ADDITION PROPERTY OF EQUALTY

Step-by-step explanation:

ADDITION PROPERTY OF EQUALTY OPTION A is the right answer

The graph shows the cost of buying tickets to a concert.

PLEASE DO STEP 3: c. What is the cost of buying 10 tickets?
The cost of buying 10 tickets is_$

Answers

Answer:

305

Step-by-step explanation:

if the unit rate is $30.5 then thats how much it cost per 1 ticket.

To get 10 tickets we have to do x10

30.5 x 10 = 305

Answer:

305

Step-by-step explanation:

It’s obvious isn’t it?

Find 2 fractions that are equivalent to 2/5=6/15

Answers

Answer:

4/10 and 12/30 are both answers

Answer: 10/25 & 20/50

Step-by-step explanation: 2/5 x 5 for the first one, 2/5 x 10 for the second

Which product is negative? −7⋅(−3)⋅(−5)⋅(−8) −3⋅(−4)⋅(−9)⋅0 −2⋅(−4)⋅8⋅(−1) 6⋅(−2)⋅(−3)⋅1

Answers

Answer:

-2(-4)(8)(-1)

Step-by-step explanation:

The first choice goes like this:

negetive times negetive times negetive times negetive

and negetive times negetive will always be positive. So teh first choice simplified will be positive times positive which is postive of course. so the first choice is a no-no

the second choice goes lke this:

negetive times negetive times negetive times 0

negetive times negetive= positive

positive times negetive= negetive

BUT

negetive times 0 equals 0, and 0 is positive. So 2nd choice is a no-no

the 3rd choice goes like this:

negetive times negetive times positive times negetive

negetive times negetive equals positive

positive times positive=posive

positve times negetive= negetive

so choice 3 is a yes-yes!

p.s if you see theese kinds of problems dont numerically solve it, just think about negetives and positives, hope it helps ! :>

p.p.s

sorry for my bad grammer

Please answer both with no fake answers or links this was due yesterday and soon enough it won't be worth any points please help with a real answer and no links also answer both and I will give you brainliest

Answers

Answer:

18 = 3 . 3 . 2 / 72 = 2 . 2 . 2 . 3 . 3 / 24 = 3 . 3 . 2 . 2 / 64 = 2 . 2 . 2 . 2 . 2 . 2

Step-by-step explanation:

Ik I sent it again but here :)

Describe the following dilation:



Reduction; k=1/2

Enlargement; k=2

Enlargement; k=1/2

Reduction; k=2

Answers

Enlargement; k=2

Tip: Always use process of elimination it’s really helpful when doing multiple choice
enlargement; k=2 that’s the answer

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)

Where is the answer to the expression 4 − 8 located on a horizontal number line?

4 units to the left of 4
4 units to the right of 4
8 units to the left of 4
8 units to the right of 4

Answers

Answer:

8 units to the left of 4

Step-by-step explanation:

Answer:

8 units to the left of 4 = 4-8 = -4

Step-by-step explanation:

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