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

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.

Sarah babysits her neighbor's son to make money. Her earnings can be represented by the equation
M = 9h
where M is the money she earns and h is the hours she babysits.

Samara babysits her cousin to make money. Her earnings can be represented by the graph.

Answers

3 = 9h the dot is at the 3 mark and 9 represents hours so the 3 represents her earnings

Billy played in 3 baseball games with a batting average of 0.417. In the first game, he had 1 hit in 4 times at bat, and in the second game, he got 2 hits in 3 times at bat. In the third game, how many times was Billy at bat, and how many hits did he have?

Answers

1 hit in 5 times a bat
1/4 = .25
2/3 = .66
1/5 = .20
.25 + .66 + .20 = 1.16
1.16/3 = .38
This is closer than you would if you hit 2 hits in 4 times
You need to add x as the unknown (x)

A square room has an area of 14,400 square
inches. What is the length of a side of the
room in inches?

Answers

Answer:

120 inches

Step-by-step explanation:

The area for formula is [tex]A=l*w[/tex], where A is area, l is the length, and w is the width.

However, since it's square room, you can just multiply the length times itself. This makes the formula [tex]A=l^{2}[/tex].

Now you can substitute 14,400 for A, since that's the area. this brings us to [tex]14400=l^{2}[/tex]. To solve the equation, just find the square root of both sides.

The square root of [tex]l^{2}[/tex] is l.

The square root of 14400 is 120. (I used a calculator for this.)

(BTW, a square root is the number that can be squared to get to a number. For example, the square root of 25 is 5, because 5 times 5 is 25. The square root of 14400 is 120, because 120 times 120 is 14400.)

Answer:

120 INCHES IS THE SIZE OF THE ROOM.

Step-by-step explanation:

120 is the answer because A(Area) = L(Length) x W(Width)

The area for formula is , where A is area, l is the length, and w is the width.

However, since it's square room, you can just multiply the length times itself. This makes the formula .

Now you can substitute 14,400 for A, since that's the area. this brings us to . To solve the equation, just find the square root of both sides.

The square root of  is l.

The square root of 14400 is 120. (I used a calculator for this.)

(BTW, a square root is the number that can be squared to get to a number. For example, the square root of 25 is 5, because 5 times 5 is 25. The square root of 14400 is 120, because 120 times 120 is 14400.)

The perimeter of a triangle is 51 cm. The lengths of its sides are x cm, x
+2cm, and x+4 cm. What is the length, in cm, of the longest side of the triangle

Answers

Answer:

longest side is x+4 = 15+4 = 19 cm

Step-by-step explanation:

can someone help with this? i’m no good at math.

Answers

26 > -2(2x+2)

Multiply the -2

26 > -4x - 4

Add 4 on both sides

30 > -4x

Divide both sides by -4 and flip the sign.

-7.5 < x

Answer:

-7.5<x

Step-by-step explanation:

26>-2(2x+2)

26>-4x-4

26+4>-4x-4+4

30>-4x

30/-4>-4/-4x

-7.5<x

How do you do long division for something like question 2.
??

Answers

Answer:

You need to divide them all separately and then add the answers together to get the correct answer

Answer:

3.535

Step-by-step explanation:

3535. and take the decimal 3 units to the left and you will get 3.535

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

help please...........-

Answers

Answer:c

Step-by-step explanation:

c

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

For 15 hours of work, a plumber charges $435. If he charges the same amount for each hour of work, which table shows the correct relationship between what he charges and the number of hours he works?
The attachment shows the full problem

Answers

Answer:

29

Step-by-step explanation:

$435 divided by 15 is 29

(I think this is the equation)

The second option because it increases proportionally

Step by step explanation:
435\15 =29
29x3=87
29x5=145
And so on and so on

So sorry for asking for so much help but I seriously don't understand what to do for this assignment

Answers

Answer:

I'll probably come back and do this later.

Step-by-step explanation:

How to Round:

If the number following the number you're going to round up is 5 or above, (5, 6, 7, 8, or 9), then round up. (E.X. 29 rounded up is 30. Since 9 is above 5, you will round up.

On the other hand, if the number following the number you're going to round is 4 or below, (4, 3, 2, or 1), you don't round up, instead you keep it the same, and if they're are decimals, you turn the following numbers to 0s. (E.X. 32.4536 rounded to the nearest hundredth (32.4536) is 32.45. Since 3 is less than 4, you're not going to round up. The number in the hundredth's place stays the same (5), and the following rest turn to 0s. Leaving you with 32.45

Let me know if this helped. :)

how can help me on this


the blank one if the one I need help one btw

Answers

Answer:

0

Step-by-step explanation:

Yeah the answer is zero. Because when you add a positive and a negative together it will always cancel each other out

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:

Please answer Thai question quickly I am giving 20 points and to ever answers

Answers

Answer:

There is no question

Step-by-step explanation:

Answer:

Where is the question?

Referring to the figure, find the value of x

Answers

Answer:

you equate the given values to 180

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.

Please help Line Graph

Answers

It is C. Because it helps us organize our data on what the question is asking.

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 :]

Sharon called 4 friends on Friday. On Saturday, each of those friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different friends.

How many friends were called on Sunday?

Enter your answer as a power by filling in the boxes.

$$
people

Answers

Answer: 64 friends were called on Sunday, 4^3

Step-by-step explanation:

The number of friends that were called on Sunday are; 64 friends.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

On Friday, the number of friends Sharon called 4 friends

On Saturday, the number of each of those 4 friends called 4 different friends.

Therefore, the number of friends on Saturday = 4 × 4

= 16

The number of friends called on, Sunday = 16 × 4

= 64

Hence, the number of friends called on Sunday is; 64.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ5

Guys please take a pic or the answers if you can *NO links they don’t work*


If you can comment the answer

Answers

Answer:

Step-by-step explanation:

you didn’t put a question btw

100 points! Ill give brainlist!! Tyrell jogs 18 miles in 3 hours. Which graph has the slope that best represents this rate?

Answers

Answer:

Answer is C

Step-by-step explanation: by looking closely at the question, you notice that is says 18 miles every 3 hours, so by looking st hours of 3, 6, 9, etc. 3 would be 18, 6 would be 36, 9 would be 54 and etc.

Let's take two points

(0,0)(3,18)

Now

Slope:-

[tex]\\ \tt\hookrightarrow \dfrac{18}{3}=6[/tex]

Equation of line=y=6x

Graph attached

Graph 1 is correct

The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.

Answers

So I can use goolgle
7291/19=383.7
So if I’m not mistaken it asks 7291 divided by 19 the Answer is 383.7

Find the missing term
___,180,30,5
A) 1080
B) 900
C) 300
D) 210

Evaluate the expression
4(x+8) for x= 6
A) 14
B) 32
C) 48
D) 56

The cost of a school banquet is $75+30n, where n is the number attending. What is the cost for 53 people?
A) $1,590
B) $4,005
C) $1,665
D) $158

Answers

1. B) 900
2. D) 56
3. C)$1,665
the answers are A D C in order.
1) 5*6=30
30*6=180
180*6=1080

2) 4(x+8)
plug in the 6
4(6+8)= 4(14)=56

3) 75+30n , plug in n- n=53
75+30(53)= 75+1590=1665

One angle measures 30 degrees and another measures 60 degrees.

Are the two angles complementary?

Answers

no because they are not congruent

Answer:

Yes

Step-by-step explanation:

complementary angles are two angles that add up to 90 degrees

help please................../.

Answers

Answer:

The answer is C.) 41.

Step-by-step explanation:

4^2 is equal to 16. Since you are multiplying 4 by its self twice. (4*4)

Then you add 16+25 to get your sum of 41.

I hope this helps you! :)

Answer:

4 to the second power is 16

16+25=41

Step-by-step explanation:

hopes this helps

can yall help me cuz I gotta turn this in in 50 minutes

Answers

Answer:

Communitive Property:

            Addition and Multiplication.

Associative Property:

            Addition and Multiplication.

Identity Property:

            Additional and Multiplication.

Distributive Property

Step-by-step explanation:

Communitive Property:

Addition; When two numbers are added, the sum is the same regardless of the order in which the  numbers are added. (3 + 2 = 5 or 2 + 3 = 5)

Multiplication; When two numbers are multiplied together, the product is the same regardless of the order in which the numbers are multiplied.

(4 x 3 = 12 or 3 x 4 = 12)

Associative Property:

Addition; When three or more numbers are added, the sum is the same regardless of the way in  which the numbers are grouped.

6 + (4 + 3) = 13 or (6 + 4) + 3 = 13

Multiplication; When three or more numbers are multiplied, the product is the same regardless of

the way in which the numbers are grouped.

6 x (4 x 3) = 72 or (6 x 4) x 3 = 72

Identity Property:

Addition; The sum of any number and zero is that number.

(10 + 0 = 10)

Multiplication; The product of any number and one is that number.

(33 x 1 = 33)

Distributive Property:

The sum of two numbers times a third number is equal  to the sum of each addend times the third number. 6(3 + 4)

(Multiply 6 by both numbers, 6 x 3 = 18 and 6 x 4 = 24, and then add the sums; 18 + 24 = 48.

Hope this Helps! :)

Answer: I think the first one is subtraction.

Step-by-step explanation:

explain how you could use the graph to find the length in inches of a 1.5 foot iguana.

Answers

Step-by-step explanation:

draw a horizontal line from the vertical axis where 1.5 ft is, which indicates the length in feet then if it touches the line of the graph, then from the point, it touches the line Trace it down to the horizontal axis. and get the answer. the point where it touches the horizontal axis indicates the length in inches.

nwnenansnananabnasbbnsbsbsbejwjja
sorry need points

Referring to the Fig. in Question #34, find the slope of

the line through the points B and C.

Answers

Answer:

-1/3

Step-by-step explanation:

m= y2-y1/x21-x1

m= 2-1/-2-1

m= 1/-3

m= -1/3

The answer is -1/3 to your problem

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
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