Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?

Answers

Answer 1

Answer:

20 miles.

Step-by-step explanation:

To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.

Let [tex]m[/tex] equal the number of miles.

If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:

[tex]100+3m[/tex]

If Hertz Rental charges $8 per mile, we can represent this as:

[tex]8m[/tex]

Set the expressions equal to each other:

[tex]8m=100+3m[/tex]

Subtract [tex]3m[/tex] from both sides of the equation:

[tex]5m=100[/tex]

Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:

[tex]m=20[/tex]

Therefore, after 20 miles, the total cost for both companies will be the same.

_

Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:

[tex]8(20)=100+3(20)[/tex]

[tex]160=100+60[/tex]

[tex]160=160[/tex]

As the total costs are equal to each other, our answer is correct!

Answer 2

Answer:

20 miles

Step-by-step explanation:

160=$3(20)=100

8x20=160


Related Questions

ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n

2x+y=0

2x+y=6

x-2y=-10

x-2y=8

Answers

Answer:

y=-2x+b

-2=-8+b

6=b

y=-2x+6

so

2x+y=6

7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32

Answers

the Answear is B,D,A,C

what is the rectangular prism of 2 units and 7 1/3

Answers

Answer:

it could be 14 2/6 units squared

Step-by-step explanation:

idkI don’t know but for area is units squared and for volume it has units cubed

Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)

Answers

The answer is (-2,1)

6. Doug has been evicted from his home. He sits on the street corner with a homemade
sign asking people to give him food. Doug is wearing only shorts and a t-shirt in the
snowy afternoon. Doug plays his harmonica in hopes of attracting some donors. One
kind soul brings him a cup of hot chocolate. A passerby yells at Doug to "Get a job!"
upsetting Doug so much that he spills the steaming hot chocolate on his leg.

Answers

What do u mean by this question?

what are the steps we should follow to solve and equation

Answers

PEMDAS is what you could possibly use

Plz help i only need c im confused lol 6th grade history

Answers

Answer:

War

Step-by-step explanation:

Criminals

a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can​

Answers

Answer:

16 pizzas.

Step-by-step explanation:

That is 4 divided by 1/4

= 4 * 4/1

= 16.

Answer:

16

Step-by-step explanation:

There are 4 pizzas per can and you have 4 cans.

4 x 4 = 16

The sum of two consecutive numbers is 253. Which of the following equations
describes this situation?
A) 3n-1= 253
D) 2n+2= 253
B) 2n+1= 253
E) n+2= 253
C) 2n= 253

Answers

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

EEEEEEEEEEEEEEEEEEEEEEEEE

The situation is a linear equation, and the equation that describes the situation is 2n + 1 = 253

How to determine the equation of the situation?

Let the smaller number be n.

So, the consecutive numbers are n and n + 1

When the numbers are added, we have:

Sum = n + n + 1

This gives

Sum = 2n + 1

The sum is 253.

So, we have:

2n + 1 = 253

Hence, the equation that describes the situation is 2n + 1 = 253

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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P0 has doubled in 5 years. Suppose it is known that the population is 9,000 after 3 years.

Required:
a, What was the initial population P0?
b. How fast is the population growing at t = 10?

Answers

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

[tex]P(t) = P_0e^{kt}[/tex]

at t = 5 years, P(t) = 2P0

substitute:

[tex]2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386[/tex]

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

[tex]9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24[/tex]

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

[tex]P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97[/tex]

Hence the population of the community after 10 years is approximately 23,746

If a polygon is a pentagon, then it has 5 sides hypothesis conclusion

Answers

Answer:

Hypothesis

 

Step-by-step explanation:

 a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.

hope this helps

Martha earns $24 in four hours. How much would she
earn in 10 hours?

Answers

Answer:

$60

Step-by-step explanation:

24/4=6

6*10=60

Answer:

$60

Step-by-step explanation:

24 ÷ 4 = 6

6 × 10 = 24

she makes $6 an hour. $60 in ten hours.

Round 24.9652 to
1 decimal Place​

Answers

Answer:

2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.

Which of the following is equal to the opposite of −45?

−|45|
−|−45|
−(−45)
−45








Which of the following statements does not represent the same value as the others?

the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9











All of the following are true statements except _____.

|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93













If you move from zero to 15 on the number line, you are representing all of the following except _____.

the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15














All of the following expressions are equal to N except _____.

−(− N )
− N
| N |
|− N |

Answers

Answer:

The first one

Step-by-step explanation:

1. -(-45)
2. “The opposite of 9”
3. -93
4. “ the opposite of 15”
5. -N

Convert 2 days into months. Round your answer to the nearest hundredth.

Answers

Answer:

0.0657534

Step-by-step explanation:

divide 2 by 30.417

Does anyone stan Twice??​

Answers

Meeeeeeeeeeeeeee I doooo

Answer:

This is literally me.

Step-by-step explanation:

3. Determine if the graph below is a function.
Explain your reasoning.

Answers

Answer:

A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.

Step-by-step explanation:

Number 2 : How old is Geraldo?

Answers

it’s b because you substitute the 11 in and then you add 3 to it which would be 14 then you add the other 11 which would be equal to 25

Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer

Answers

Answer:

Vanessa, she only needs to buy one ink cartridge according to the question

where Tia has to buy more? I need more info on the question

Step-by-step explanation:

Tia bought less expensive printer.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.

Equation that represents the cost for Vanessa's printer is -

V = 90 + 25c

Equation that represents the cost Tia's printer is -

T = 80 + 20c

For {c} = 1, the cost for Vanessa's printer is -

V(1) = $115

For {c} = 1, the cost for Tia's printer is -

T(1) = 80 + 20 = $100

Therefore, Tia bought less expensive printer.

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A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.

Answers

Answer:

1040

Step-by-step explanation:

point Q was rotated about the origin (0,0) by 180

Answers

Answer:B

Step-by-step explanation:

The coordinates of the image of the rotation of the point Q is:

Q' = (4, 2)

What is the image of the rotation?

We can see that the original coordinates of point Q are (-4, 0).

If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.

It only changes the sign of the x-component.

Then the image of the rotation is:

Q' = (4, 0)

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Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)

Answers

Answer:

slope is 4/3 and y intercept is -7

Step-by-step explanation:

3y+21=4x.........now subtract 21 from each side

3y=4x-21......now divide all terms by 3

y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7

Answer:

B (-3,8)

Step-by-step explanation:

awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21

awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.

Best apologies if incorrect

Which point represents the opposite of –2?

A number line going from negative 5 to positive 5. Point A is at negative 2, point B is between negative 1 and 0, point C is between 0 and 1, and point D is at 2.
A
B
C
D

Answers

Answer:

Point D

Point D is at 2, the absolute value of -2.

2 is the opposite of -2, and D is at 2.

So, the answer must be option D.

Hope this helps!

Answer:

d

Step-by-step explanation:

What Is f(0) ?

Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

It means x is zero, and the only point on x=0 is 12 :)

According to the graph the function  f(0) is  12 only .

What is intercepts?

The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.

According to the question

The graph shows the function in which

f(0) is

i.e

x = 0  or y intercept

Now, according to the graph

at x = 0 , y = 12

Or

f(0) = 12

Hence, The function  f(0) is  12 only .

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2x + 7 = 13
Please help

Answers

Answer:

x=3

Step-by-step explanation:

Hope this helps u..

A math class consists of 26 students, 14 women, 10 men, and 2 non-binary. Two students are selected at random to participate in a probability experiment. Compute the probability that:

Answers

Answer:

there's a higher probability for females

1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit

into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and

dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.

(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)

Part II: How much will Darla deposit into her savings account?

U.S.)

Answers

Answer:

The number of coins is missing, so I looked for a similar question:

Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters

Darla can make:

9 rolls of pennies (worth $4.50)

7 rolls of nickels (worth $14)

8 rolls of dimes (worth $40)

6 rolls of quarters (worth $60)

total amount of money = $118.50

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]


Compute the probability that a randomly selected peanut M&M is not yellow.


Compute the probability that a randomly selected peanut M&M is brown or red.


Compute the probability that three randomly selected peanut M&M’s are all brown.


If you randomly select three peanut M&M’s, compute that probability that none of them are blue.


If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW


Answers

Answer:

32ed

Step-by-step explanation:

how many times can 130 go into 22? DIVIDE

Answers

130 cannot go into 22.

22 can go into 130 5 times

130 can not go into 22 idk if u meant 22 into 130

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