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

Please help. I don't understand this and I need this done by tomorrow.

Answers

Answer:

answers B, C, and F

Step-by-step explanation:

Answer:

a

c

d

Step-by-step explanation:

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.

Use absolute value to express the distance between −13 and 17 on the number line.

|−13 − 17| = −30
|−13 − 17| = 30
|−13 − 17| = −4
|−13 − 17| = 4

Answers

Just do your work and pay attention in class!!!!
The answer is 4 I think

what is the value of 6(1+2)+1

Answers

Answer:

6(1+2)+1

Step-by-step explanation:

= 6*1+2+1

=9

Hope this helps

Answer:

19

Step-by-step explanation:

given:

6(1+2)+1..( according to the rule BODMAS;bracket, divide,multiplication,addition,subtraction)should be followed in a proper way!

6*3+1

18+1

19

hope it helps!

Help, Im In Math Class Rn


On Monday, the temperature was 43°F. On Tuesday, the temperature increased 6°F. On Wednesday, the temperature decreased 13°F.

What integer represents the overall change in temperature from Monday to Wednesday?

Answers

13 (increase) - 6 (decrease) = 7 (overall change)

The integer is 7 by my calculations

Um taxista cobra R$ 15,00 pela bandeirada mais R$ 0,80 por quilômetro rodado. Qual é o preço a ser pago por uma corrida de 100 quilômetros?


O preço será de R$ 52,80.

O preço será de R$ 95,00.

O preço será de R$ 50,80.

Answers

Answer:

can u wrote this question in english .Because I don´t understand this languages

o preço sera R$ 95,00

Fonte: confia na mãe

Find two fractions that are equivalent to 1/9=2/18

Answers

Answer:

4/36 and 8/72

Step-by-step explanation:

4/39 and 8/72. Hope this help

In which number does the digit 5 have greater value 5,214 or 6,589

Answers

The correct answer is 5,214

The digit 5 in the number 5214 is at a greater value.

What is a number system?

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.

Given that there are two numbers 5214 and 6589. In the number 5214, the digit 5 is a thousand places and in the number 6589, the digit 5 is at the hundredth place. The digit 5 will have a greater value in the number 5214.

To know more about the number system follow

https://brainly.com/question/28530423

#SPJ2

Determine which graph shows y as a function of x.

Answers

Answer:

C

Step-by-step explanation:

The answer your looking for it’s d because y crosses the x axis

Sow your work plz and thank you! Best answer gets brainliest!

Answers

Answer:14 divided by 3.5 is  4 so the Eucalyptus tree is 4ftStep-by step explanation:ruta si or nA

I need help plssssssssssssssssssssss

Answers

Answer:

Step-by-step explanation:

Given:

325 pages

90,000 words

Recommended  reading: 200 words/ 1 minute

How many words on each page ?

90,000 words /325 pages ≈ 277 words / 1 page

Now see the picture.

The numbers for the difference I round them to the nearest word.

Answer:

it is blurry

Step-by-step explanation:

Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value:
x when g(x)=1

Answers

g(x)=2x+3 and g(x)=1 so 2(1)+3 which equals 5 you don’t need f(x) because you don’t have an x value
g(x)=1 <=> 2x+3=1 <=> 2x=1-3=-2 <=> x= -1
=> f(-1)= -(-1)-5=1-5=-4

Please answer this fast

Answers

Answer: a) 1:1

they are even. if it was 1:2 or 2:1 one of them on the graph would be taller but that are both at the same number

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

The Correct option is :

a.) 1 : 1

Refer to attachment for solution ~

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$3.75

Step-by-step explanation:

dimes= x

quarters= x+2

nickels= 2x+2

sum is 3.75

.10x+.25(x+2)+0.05(2x+2)=3.75

.10x+.25x+.50+0.10x+0.10=3.75

0.45x=3.15

x=7 dimes (0.70)

x+2=9 quarters (2.25)

2x+2=16 nickels (0.80)

They add to $3.75

Give the person above me brainliest !!

Answer quick 100 points
Which phrase describes the algebraic expression Three-fourths x + 2?
three-fourths of a number plus two
the quotient of four-thirds and two
the product of three-fourths and two
the difference between three-fourths of a number and two

Answers

Answer:

A) three-fourths of a number plus two

Step-by-step explanation:

To find out what the answer is, we first need to translate the sentence into numbers, which will give us:

[tex]\frac{3}{4}[/tex]x+2

We can see that we are multiplying an unknown number, x, by three fourths, so we know that we are taking three-fourths of a number, and we also know that we are then adding two. We are not dividing or subtracting, so we know it can't be  B or D. We also know that we are multiplying three-fourths by x, not two so we know that it can't be C. So our only option is A, So the correct answer is:

A) three-fourths of a number plus two

Hope this helps, please mark as brianliest

Answer:

Three-fourths of a number plus two

Step-by-step explanation:

The value "x" is  used in algebra to mean a value that is not yet known.

Remember the algebraic expression is: 3/4x + 2

Lets break each possible answer down,

1. The quotient of four-thirds and two is:  4/3 ÷ 2

2. The product of three-fourths and two is:  3/4 * 2

3. The difference between three-fourths of a number and two is:

3/4x - 2

None of these expressions match 3/4x + 2, which brings us to the last answer.

4. Three-fourths of a number plus two is:  3/4x + 2

Notice, "x" is represented as "of a number", since the value is unknown.

Therefore, your answer is A, three-fourths of a number plus two.

At basketball practice, Donald's team practiced defense for 30 minutes and offense for 45 minutes. If the practice ended at 7:00 P.M., what time did it start?

Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

Answer:

5:45 P.M.

Step-by-step explanation:

You would first subtract the amount of time it took for defesne from the end time, so 7:00 - 30 mins = 6:30, then you would subtract the offense from that 6:30- 45 mins, which equals 5:45 then you would add P.M. because it is still in the evening.

7:00 - 30 mins - 45 mins = 5:45 P.M.

−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

PLs help me my brain hurst so bad

Answers

I dont speak english
i think for the student reading rate you would put down the number of words per minute

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!

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

Solve the problems from 10to 12

Answers

10. The answer is going to be C
11. A
i don’t know 12 but i hope this helps
10. C
11.A
12.C if you minus 6 from 44 you get 38inches and c is the only one with 38 inches on it

i need help doing muiltpcation and division one numbers

Answers

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

PLEASE SCREENSHOT AND MARKUP FOR 40 POINTS

Answers

Answer:

That seems hard sorry i couldn't help

Step-by-step explanation:

Answer:

wanna be friendz and can i have brainliest please

Step-by-step explanation:

Ronnie, Mack, Kim, and Ada together stacked a total of 40 pizzas in a pan. Ronnie stacked 0.25 of the pizzas, Mack stacked 9 of the 40 pizzas, Kim stacked 35% of the pizzas, and Ada stacked the remaining pizzas. Who stacked the most pizzas?

Ronnie
Mack
Kim
Ada

Answers

Ronnie stacked the most pizzas

Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find WX

Answers

Answer:

∠Y= 120

Step-by-step explanation:

The answer is 120 hope this helps

i dont get it, does anyone know slope?

Answers

Answer:

are you trying to figure out what slope is or what the slope is on the assignment  

Step-by-step explanation:

The slope is 1200/12 or simplified it would be 1/100

The number line shows the elevation of the bottom of a harbor and the elevation of a fish swimming close to the surface what change in elevation is necessary for the fish to reach bottom?

Answers

Answer:

Whatever number is larger than the number of the elevation of the bottom of the harbor

Step-by-step explanation:

the elevation needs to be smaller than the decrese of the elevation like this.

Ex:  The temputure elevated 28 degrees then decreased 30 degrees.

Boom :]

Please help me for questions 2,3,4, and 8. Also explain how to find out correlation for them.​

Answers

Number 2 would be no correlation because the two variables don’t affect each other.
2. no correlation (one time being higher doesn’t mean the other will have to be lower)
3. negative, (as temperature goes up your heating bill will go down)
4. no correlation (pillows will not effect you bed height)
8. no correlation (the cost of the gas isn’t going to change how much gas your car holds)

Find the distance between the points. Write
your answer in simplest form.
(-2,0), (-1,-1)

Answers

I HOPE IT WILL HELP YOU.

Thank you.

this is the answer , i couldn’t type it

Find the percent decrease from 175 to 70.

Answers

175 to 70 is 60% decrease
175-70=105
100%=175
70=60% so your answer is 60%
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