Bob is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $76 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer 1

m = the number of miles driven

Company A cost = 76    

[they charge $76 for unlimited mileage, so they don't charge by the miles driven]

Company B cost =  0.70m + 55  

[they charge an initial fee of $55 plus $0.70 per mile(m)]

For what mileages will Company A charge less than Company B?

Company A cost < Company B cost  ----->   76 < 0.70m + 55      

To solve for m, isolate/get the variable "m" by itself in the inequality:

76 < 0.70m + 55     Subtract 55 on both sides

76 - 55 < 0.70m + 55 - 55

21 < 0.70m     Divide 0.70 on both sides to get "m" by itself

[tex]\frac{21}{0.70} <\frac{0.70m}{0.70}[/tex]

30 < m      [m is any number greater than 30]

Company A will charge less than Company B for mileages over/greater than 30.

Answer 2

Final answer:

Company A will charge less than Company B when more than 30 miles are driven; the inequality used to determine this is 76 < 55 + 0.70m, and after solving, it shows that m > 30.

Explanation:

To find out for what mileages Company A will charge less than Company B, we need to set up an inequality based on the given price structures for both companies:

Company A charges a flat rate of $76 per day, regardless of mileage.

Company B charges an initial fee of $55 plus $0.70 per mile driven.

The inequality to represent this scenario is:

76 < 55 + 0.70m

To solve for m (the number of miles driven), we subtract 55 from both sides:

21 < 0.70m

Then, divide both sides by 0.70 to isolate m:

m > 30

So, Company A will charge less than Company B when Bob drives more than 30 miles.


Related Questions

37) What is the value of mx
if y=mx+b?

Answers

Answer:

the slope

Step-by-step explanation:

HELP ASAP!!!!!!!! IF YOU CAN I WILL GIVE 5 STARS!!!!!!!!!

What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?


18 units³


45 units³


80 units³


150 units³

Answers

Answer:

150 units³

Step-by-step explanation:

l * w * h = volume, so...

10*5*3 = volume

150 = volume

Answer: its 150 i took the test

Step-by-step explanation:

Which set of measurements could be the side lengths of a right triangle?
A: 10cm, 12cm, 16cm.
B: 20cm, 21cm, 29cm.
C: 30cm, 32cm, 42cm.
D: 40cm, 42cm, 56cm.
I need help and NOW

Answers

Answer:

a

Step-by-step explanation:

Using the diagram below, calculate the length of BO.

25 in

4 in

7 in

5 in

Answers

Answer:

the answer is 5 inches

Step-by-step explanation:

so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.

Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x and the width is 2 x^2 − 99x + 6 where the measurements are in feet. If the length of the enclosed yard is 50 feet and the cost of fencing is $13 per foot, how much will Janice need to spend on fencing? Janice will need to spend $ on fencing.

Answers

Final Answer:

Janice will need to spend $2756.00 on fencing.

Explanation:

Set up the equation for the width:

Width = 2x^2 - 99x + 6 (given in the problem)

Substitute the known length (50 feet) into the equation:

50 = 2x^2 - 99x + 6

Solve the quadratic equation for x (length of the wider side):

This equation can be solved using various methods like factoring, quadratic formula, or online calculators. For example, using an online calculator, we find two solutions: x ≈ 1.59 or x ≈ 49.41.

Since the length cannot be a fraction of a foot, choose the larger solution:

x ≈ 49.41 feet

Calculate the total perimeter of the enclosed area:

Perimeter = 2 (length + width) = 2 (50 feet + 49.41 feet) ≈ 198.82 feet

Find the total cost of fencing:

Total cost = Perimeter * Cost per foot = 198.82 feet * $13/foot ≈ $2756.00

Therefore, Janice needs to spend $2756.00 on fencing to enclose the specified portion of her yard.

Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression?
4.8 is now multiplied by 90 and 10.
4.8 is now added to 10 before adding 90.
4.8 is now added after finding the sum of 90 and 10.
4.8 is now added to both 90 and 10.

Answers

Answer:

Answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f•g)(10)?
37
97
126
606

Answers

Hence the correct answer is Option (A) i.e. 37

What is Composition of a Function?

The composition of a function is an operation where two functions say f and g generate a new function.

How to Solve:

Given,

        [tex]f(x)= x^2+1[/tex]-------------------(1)  

and,  [tex]g(x)= x-4[/tex]

Now ,

          [tex]fog(x)=f[g(x)][/tex]

                     [tex]=f(x-4)[/tex]

                     [tex]=(x-4)^2+1[/tex]       (from 1)

                     [tex]=x^2-8x+16[/tex][tex]+1[/tex]  

         [tex]fog(x)=x^2-8x+17[/tex]-----------------(2)

Now , we need to find  [tex]fog(10)[/tex]

so, put x=10 in equation 2, we get:

[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]

Hence, the answer is 37

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Which table represents the recursive formula?
an = a(n-1) + 6

Answers

Final answer:

To identify a table representing the recursive formula an = a(n-1) + 6, one should look for a pattern where each term is 6 greater than the previous one.

Explanation:

The recursive formula an = a(n-1) + 6 is a mathematical way of defining a sequence that is created by adding 6 to the previous term. To find out which table represents this formula, look for a pattern where each term is 6 greater than the one before it. For example, if the first term is 2, the second term should be 2 + 6 = 8, the third term should be 2nd term + 6 = 8 + 6 = 14, and so on. By following this pattern, you can identify the table that accurately represents the recursive formula.

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Question 6 of 40
5 Points
Gina's taxable income last year was $62,200. According to the tax table
below, how much tax does she have to pay if she files with the "Single
status?
62,000

Answers

Answer:

11,744

Step-by-step explanation:

Answer:

11744

Step-by-step explanation:

the function f(x)=10(2)^x models an insect population after x weeks. to the nearest whole number, what will be the population after 4 wekks

Answers

The insect population after 4 weeks will be 160 to the nearest whole number.

The student is asking about the function f(x) = 10(2)ˣ, which models an insect population after x weeks.

To find the population after 4 weeks, we need to substitute x with 4 in the function:

f(4) = 10(2)⁴

Now we calculate the value:

f(4) = 10(16) = 160

So, to the nearest whole number, the insect population after 4 weeks will be 160.

A diver descends 2 feet per minute. How deep below sea level is it after 40 minutes? (shows the process).

Answers

80ft bc you would do 40x2

Answer:

80 feet below sea level

Step-by-step explanation:

We know that the rate of the diver is 2 ft / min. The time we are given is 40 minutes, so to find out how many feet the diver has descended, we multiply the rate by the time:

(2 ft / min) * (40 min) = 80 ft

Thus, the diver is 80 feet below sea level after 40 minutes.

Hope this helps!

What is the image of the point (5, -3) after a reflection over the line y = x?
O (3,-5)
O (-5, 3)
O (-3,5)
o (5, 3)

Answers

Answer:

(-3,5)

Step-by-step explanation:

If the slope of y=x is 1, then you have to reflect over that line with a negative slope. It should reflect over to be (-3,5).

Answer:C

Step-by-step explanation:have a nice day!

A certain television is advertised as a 10-inch TV (the diagonal length). If the width of the TV is 6 inches, how many inches tall is the TV?

Answers

Answer:

8 inches

Step-by-step explanation:

Using Pythagorean theorem you know a^2+b^2=c^2

a^2+b^2=c^2 =

6^2+b^2=10^2=

36+b^2=100

100-36=b^2

64=b^2

64=8^2

The Tv is 8 inches tall


Simplify: (4d + 7e – 3f) + (5d – 2e +9f)

Answers

Answer:

9d+5e+6f

Step-by-step explanation:

(4d + 7e – 3f) + (5d – 2e +9f)

4d+5d+7e-2e-3f+9f

9d+5e+6f

Answer:

9d+5e+6f

Step-by-step explanation:

(happy to help)

The difference between a number squared and 14 is 50. Can you just write out as equation pls

Answers

Answer:

x^(2)-14=50

Step-by-step explanation:

Final answer:

The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.

Explanation:

To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:



[tex]x^2 - 14 = 50[/tex]



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what is the equation of the graphed line written in standard form

Answers

Answer:

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c. To find the slope of the line you could either use the two points on the line or just look and see.

Step-by-step explanation:

Solve 3(x-5)=18

10 points help plz

Answers

Answer:

x=1

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's solve

3(x-5)=18

Open the bracket

3x-15=18

Add 15 to both sides

3x=3

Make x the subject of formula by dividing both sides by 3

x=1

So the final answer is 1

Answer:

x = 11

Step-by-step explanation:

First Expand the Brackets

3x-15 = 18

Then add 15 onto both sides

3x = 33

Divide both sides by 3

x = 11

James is a welder who earns $18 per hour. He works 8 hours per day, Monday through Friday. How much does James earn in one week?

Answers

Answer:

720 Dollars a Week

Step-by-step explanation:

18x8x5

since he makes 18 dollars an hour you multi that by 8 because 8 hours

then you have to multiply that by 5 because he works 5 days a week mon-fri

720 8 times 18 times 4

Rayna found the curve of best fit for a set of data that represents an exponential relationship. The correlation coefficient for her curve of best fit is r= 0.274

The first is growth or decay. The second is is or is not. Which one is correct?

Answers

Answer:

The data set shows exponential GROWTH

raynas curve IS NOT a good fit for the data set

Step-by-step explanation:

Believe

Final answer:

With a correlation coefficient of r = 0.274, Rayna's exponential model is not a strong fit, and without the sign of the rate parameter, we cannot determine whether it represents growth or decay.

Explanation:

When Rayna found the curve of best fit for a set of data representing an exponential relationship with a correlation coefficient of r = 0.274, two aspects can be deduced. First, whether the relationship reflects growth or decay, and second whether the model fits well or not. The value of r indicates the strength and direction of the linear relationship between two variables.

In the context of exponential relationships, if the parameter representing the rate of change (often denoted by 'b') is positive, it indicates exponential growth; if the parameter is negative, it signifies exponential decay. Since we do not have the explicit sign of the parameter, we cannot directly conclude whether Rayna's data is demonstrating growth or decay.

The value of the correlation coefficient r = 0.274 is relatively low and thus, Rayna's exponential model is not a strong fit for the data. This is because the value of r is far from 1, and a higher correlation coefficient would suggest a stronger linear relationship between variables.

x+3y>-3 and y<1/2x+1

Answers

Answer:

well i have no idea what ur asking but i think 6+3*2>-3 and 98<1/2*2+1

Step-by-step explanation:

Which answer shows 0.05 written in scientific notation?
0.5x 10-1
5x10-2
5x10-
5x102

Answers

0.05 written in scientific notation is 5 * 10^-2

How to express as scientific notation?

The number is given as:

Number = 0.05

Multiply by 1

Number = 0.05 * 1

Express 1 as 100/100

Number = 0.05 * 100/100

Evaluate the product

Number = 5 * 1/100

Express 1/100 as an exponent

Number = 5 * 10^-2

Hence, 0.05 written in scientific notation is 5 * 10^-2

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The correct scientific notation for the decimal 0.05 is 5 x 10^-2, which is the option that correctly shows this number in scientific notation.

The question asks for the correct scientific notation of the decimal 0.05. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's a way of scaling down or up numbers to make them easier to work with, especially when dealing with very large or very small values.

To write 0.05 in scientific notation, we identify a number between 1 and 10 followed by a power of 10 that will put the decimal in the correct place. We see that 0.05 is the same as 5 moved two decimal places to the left. Therefore, in scientific notation, we write this as 5 x 10-2.

The option showing 0.05 written correctly in scientific notation is 5 x 10-2.

Help ASAP PLEASE I WILL PUT BRAINLIEST AND 30 POINTS!

Answers

Answer:60

Step-by-step explanation: BECAUSE YOU ARE A GREAT PERSON.

Answer:

i dont know sorry

Step-by-step explanation:

i dont know sorry

Lliana rotated trapezoid WXYZ 180 about the origin

Answers

Answer: it’s A

Step-by-step explanation:

I took the edge test


Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.
A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18
Yes No Not Enough Information

Answers

Answer:

Yes: A, B, F

No: C, D, E

Step-by-step explanation:

2(x + 7) = 36

First divide both sides by 2

(x + 7) = 36/2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

Calculation of an equation

Since the given equation is 2(x + 7) = 36

Here we first divide both sides by 2

So,

(x + 7) = 36 ÷ 2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

Therefore, The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

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A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
(a) Find a formula for the number of bacteria at time t.


(b) Find the number of bacteria after one hour.


(c) After how many minutes will there be 50,000 bacteria?


Answers

Answer:

a)  [tex]y=12000(2)^{\frac{t}{50}}[/tex]

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

[tex]y=Ab^{\frac{t}{n}}[/tex]

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

[tex]y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}[/tex]

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

[tex]y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76[/tex]

The number of bacteria after 1 hour would approximate be 27,569 bacteria

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

[tex]y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103[/tex]

After about 103 minutes, there will be 50,000 bacteria

Part B
What is the number of whole loaves of each type of bread Hayley should make in order to havo the best
amount of the 15 cups of flour and 9 eggs left over?
Loaves of zucchini bread:?
Loaves of banana bread:?​

Answers

Answer:

Loaves of zucchini bread = 3

Loaves of banana bread = 3

Completed question;

What is the number of whole loaves of each type of bread Hayley should make in order to havo the best

amount of the 15 cups of flour and 9 eggs left over?

Given that;

Each Banana bread requires 3 cups of flour and 1 egg

And Each zucchini bread requires 2 cups of flour and 2 eggs.

Loaves of zucchini bread:?

Loaves of banana bread:?​

Step-by-step explanation:

Representing the problem in equation form;

3b + 2z ≤ 15 .......1

b + 2z ≤ 9 .......2

Where;

b is the number of banana bread to be made and

z is the number of zucchini bread to be made

To solve, subtract equation 2 from 1;

3b-b + 2z-2z ≤ 15-9

2b ≤ 6

b ≤ 6/2

b ≤ 3

Substituting into equation 2

3 + 2z ≤ 9

2z ≤ 9 - 3

2z ≤ 6

z ≤ 6/2

z ≤ 3

Loaves of zucchini bread = 3

Loaves of banana bread = 3

3 whole loaves of each type of bread should be made

Loaves of zucchini bread: 3Loaves of banana bread: 3

How to determine the number of whole loaves of each bread?

Represent the banana bread with x, and the zucchini bread with y.

Using the complete question as a guide, we have the following equations

3x + 2y = 15

x + 2y = 9

Subtract both equations

2x = 6

Divide both sides by 2

x ≤ 3

Recall that:

x + 2y = 9

So, we have:

3 + 2y = 9

Subtract 3 from both sides

2y = 6

Divide both sides by 2

y = 3

So, we have:

x = y = 3

Hence, 3 whole loaves of each type of bread should be made

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What is the graph of 3x + 5y = –15? A coordinate plane with a line passing through (negative 5, 0) and (3, 0). A coordinate plane with a line passing through (0, 3) and (5, 0). A coordinate plane with a line passing through (negative 5, 0) and (0, 3). A coordinate plane with a line passing through (0, negative 3) and (5, 0).

Answers

Answer:

its A

Step-by-step explanation:

i got it right

Answer:A

Step-by-step explanation:

Find the volume of the prism.

Answers

Answer:

168 units^3

Step-by-step explanation:

The volume of triangular prism is calculated like this : 1/2 × b×h×l (b: base, h: height, l: length)

1/2 × 7 × 6 × 8 = 168 units^3

If r is an integer greater than 1, what is the value of (−1)r +1 if:
a) r is an odd integer
b) r is an even integer

I NEED THE ANSWER IN 30 MINS FOR SCHOOL! HELP!!!!!!!!!!!!!!!!!!!!!

Thanks in advance

Answers

Answer:

a is 0, b is 2

Step-by-step explanation:

Ik its late, but it was pretty ez. Just plug in dem numbers.

a. In the case when r is an odd integer so it should be zero.

b. In the case when r is an even integer so it should be two.

Calculation of the value:

a.. In the case when r is an odd integer

So,

[tex]= (-1)^r + 1[/tex]

= -1 + 1

= 0

b. In the case when r is an even integer

So,

= 1 + 1

= 2

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What is the measure of the inscribed angle ABC if the measure of the arc, which this angle intercepts is:

48°

Answers

9514 1404 393

Answer:

  24°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc.

  48°/2 = 24°, the measure of ∠ABC

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An investor took out a loan of 150,000 at 8% compounded quarterly, to be repaid over 10 years with quarterly payments of 5,483.36 at the end of each quarter. After 12 payments, the interest rate dropped to 6% compounded quarterly. The new quarterly payment dropped to 5,134.62. After 20 payments in total, the interest rate on the loan increased to 7% compounded quarterly. The investor decided to make an additional payment ofX at the time of his 20th payment. After the additional payment was made, the new quarterly payment was calculated to be 4,265.73 payable for 5 more years. Determine X. President Franklin D. Roosevelt was born in 1882 in New York. Which number on the map represents the state of New York?A)1B)2C)3D)4 Name 2 cellular structures (organelles) that plant cells have, but animal cells dont.Then, choose one and explain why an animal cell does not need it. which of the following processes results in adaption1)natural selection2)genetic drift3)nonrandom mating4)migration5)mutation Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 9 min and standard deviation 4 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Round your answer to four decimal places.) A lumber mill needs one more tree cut down that is at least 41 feet long. The person cutting down the tree is 5 feet 3 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 36 inches. What is the length (to the nearest tenth of a foot) of the tree's shadow that will allow the tree to be cut down? How to do surface area of a triangular prism Which of the following is true about open-source enterprise resource planning (ERP) system software? a. An open-source ERP system softwares source code can be modified easily. b. An open-source ERP system softwares source code is not flexible enough to adapt it for changing business needs. c. An open-source ERP system softwares source code is too complex to be modified. d. An open-source ERP system softwares source code is not visible to users. True or fales pls help!! PLZ HELP!!! Kyle shoots an arrow during an archery lesson at camp. The height of the arrow can be modeled by the equation h = 4t(4t 12), where h is the height in feet of the arrow and t is the time in seconds. How long is the arrow in the air? The arrow is in the air for ____ second(s). What are positive effects of interest groups .Solve for x:2% of x = 17a 34b 8.5c 85d 850 Find the Median{ 0, 3, 4, 8, 10, 15, 20 } The magnetic dipole moment of Earth has magnitude 8.00 1022 J/T.Assume that this is produced by charges flowing in Earths molten outer core. If the radius of their circular path is 3500 km, calculate the current they produce. Your answer is CORRECT. Archaea that live by black smokers at hydrothermal vents under the ocean are often A) anaerobic due to the low oxygen content of the water in these locations B) barophilic C) psychrophilic D) Only A and B are correct E) Only B and C are correct A student found the MAD of the data shown. What wasthe student's error?When calculating the mean, the student divided thesum by the wrong number.When calculating the MAD, the student divided thesum by the wrong number.When calculating the distances to the mean, thestudent forgot to take the absolute values.O When calculating the MAD, the student forgot totake the absolute value of the result. Newberg is 5 miles due north of the airport, and Rockport is 12 miles due east of the airport. How far apart are Newberg and Rockport? Help me part a and B A player pays $2 to randomly draw a card from a standard deck of playing cards. He wins $10 if he draws a black 2, and $5 if a 10 or ace is picked. Determine the probability of each possible value of X (the amount won or lost) to complete the probability distribution for the game. Give each value as a fraction with a denominator of 52. What does our base tell us about the exponent