Mathematics High School

7. Mark needs to move to a new apartment and is trying to find the most affordable moving truck. He will only need to truck for one day. After checking the U-Haul website, he finds that he can rent a 10 - ft truck for $20.95 a day plus $1.89 per mile. He then checks the Public Storage website and finds the charge to be $37.95 a
day plus $1.19 per mile for the same size truck. Determine the number of miles for which the cost to rent from either company would be the same. Round the answer to the nearest mile (5 points).

Answers

Answer 1

Answer:

24 miles

Step-by-step explanation:

Let the number of miles = x.

U-Haul:

1.89x + 20.95

Public Storage:

1.19x + 37.95

Set the costs equal and solve for the mileage, x.

1.89x + 20.95 = 1.19x + 37.95

0.7x = 17

x = 24.29

Answer: 24 miles

Related Questions

Hi, this isn't a homework question but I just have summer brain and I need to get better at math.

You are selling a motorcycle and need to set the price. Your friend gets a 30% cut of the price you sell it as. What price does it need to be in order for YOU to make $1000?

How would you go on about solving this? Is there an equation? Thank you so much!

Answers

Answer:

$1,428.57

Step-by-step explanation:

Let x = the selling price

x - .3x = 1000 (if we take the selling price and subtract the 30% cut, we would be left with 1000

.7x = 1000 Divide both sides by .7

x = 1428.571429 Round to the nearest penny

x = 1428.57

30% of that is 428.571 rounded to 428.57

Check:

428.57 + 1000 = 1428.57

what is our number system called

Answers

Step-by-step explanation:

Decimal system, also called Hindu-Arabic number system or Arabic number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

The provided dataset "Franchises Dataset" contains data collected from different 100 franchises. The data contains the net profit (million $) for each franchise, the counter sales (million $), the drive-through sales (million $), the number of customers visiting the business daily, and the type of the franchise. Q: What is the predicted profit of a Burger store restaurant with 900,000$ counter sales, and 800,000$ drive-through sales?

Answers

The predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

To find the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales using the provided dataset, we can follow these steps:

Step 1: Import the "Franchises Dataset" into a statistical software package like Excel or R.

Step 2: Perform regression analysis to find the equation of the line of best fit that relates the net profit (dependent variable) to the counter sales and drive-through sales (independent variables). The equation will be in the form of y = mx + b, where y is the net profit, x is the combination of counter sales and drive-through sales, m is the slope, and b is the y-intercept.

Step 3: Use the regression equation to calculate the predicted net profit for the given counter sales and drive-through sales values. Plug in the values of $900,000 for counter sales (x1) and $800,000 for drive-through sales (x2) into the equation.

For example, let's say the regression equation obtained from the analysis is: y = 0.5x1 + 0.3x2 + 1.

Substituting the values, we get:

Predicted Net Profit = 0.5(900,000) + 0.3(800,000) + 1

= 450,000 + 240,000 + 1

= 690,001 million dollars.

Therefore, the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.

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A train travels a total of 67km at a constant speed of 110km/h. How long is its journey? Give the answer in minutes and seconds to the nearest second.

Answers

Step-by-step explanation:

Time=distance/speed

67÷110

=36' 32sec

A rectangle has a length that is three more than twice it’s width. Which equation correctly models it’s area

Answers

Answer:

Solution given:

width =w

length =3w

now we have

area of rectangle =length ×width=3w×w=3w² is a required expression.

Step-by-step explanation:

hope it is helpful to you

A rectangle has a length that is three more than twice its width. Which equation correctly models its

What is the value of x in the diagram below?

Answers

Answer:

Step-by-step explanation:

the whole angle is 90

So 90 minus 33 is 57

When a bill is not paid by the due date, a late fee is added each month until the bill is paid. The values in the table represent the total amount due, in dollars, for each month that a payment remains overdue.
Months | Total due
2 300
5 375
10 500
Using x for the number of months overdue and y for the total amount due, in dollars, construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due. Enter the equation of the function in the box

Answers

The total amount due, in dollars, is an illustration of a linear function

The equation of the function is $y = 25x + 250$

Represent the month with x, and the total due with y.

Start by calculating the slope (m) using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{375 - 300}{5 - 2}$

Simplify

$m = \frac{75}{3}$

Divide 75 by 3

$m = 25$

The linear equation is then calculated as:

$y = m(x - x_1) + y_1$

So, we have:

$y = 25(x - 2) + 300$

Open bracket

$y = 25x - 50 + 300$

Add 300 to -50

$y = 25x + 250$

Hence, the equation of the function is $y = 25x + 250$

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A number n decreased by 8 is 19

Answers

Answer:

n-8=19

Step-by-step explanation:

The answer is 27 because 19 plus 8 is 27 but if you decrease it by 8 (subtract) it would give you 19 please mark me brainliest hope it helps have a good day

Find the Area of the triangle below

Answers

Answer:20.25

Step-by-step explanation:

A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462

Answers

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Perpendicular to y=-2x+1, but passes through (-4,4)

Answers

y=1/2x+6 is the new equation

Remember, the perpendicular slope is always the opposite reciprocal so the slope of this would be 1/2. Then, plug in the new slope along with the point in slope intercept form to solve for b.

A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects

Answers

Answer:

0.7208 = 72.08% probability that this whole shipment will be accepted.

Step-by-step explanation:

For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

4% rate of defects

This means that $p = 0.04$

26 tablets

This means that $n = 26$

What is the probability that this whole shipment will be accepted?

Probability that at most one tablet does not meet the specifications, which is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Thus

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460$

$P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208$

0.7208 = 72.08% probability that this whole shipment will be accepted.

Simplify 5 - (-1)
O -6
O -4
O 6
0 4

Answers

The equation simplified is 6

A local men's clothing store is being sold. From a previous inventory analysis, the current owners determined that 37% of the merchandise was outdated. The buyers would like a more current estimate of the proportion of items that are outdated. They will choose a random sample from the 100,000 items in the store's inventory in order to determine the proportion of merchandise that is outdated. What size sample do the buyers need in order to be 99% confident that the margin of error of their estimate is about 0.06

Answers

ANSWER:

the answer is

5/12d+1/6d+1/3d+1/12d=6 solve for d

Answers

Answer:

take lcm ...i.e.= 12d then solve it ... value of d=1/6....

Help I dont understand this question although it is very easy +50 points

Answers

Answer:

3,744 $cm^{2}$

Step-by-step explanation:

Front is a trapezoid

a = 1/2($base_{1}$ + $base_{2}$)h

a = 1/2(29 +12)24

a = 492

the back is the same value 492

Bottom

29 x 30 = 870

Right sides

30 x 26 = 780

Left side

25 x 30 = 750

Top

12 x 30 = 360

492 + 492 + 870 + 780 + 750 + 360 = 3744$cm^{2}$

The food bank received 325 cases of 24 cans of soup, and 227 cases of 48 cans of soup. Estimate first. Then find how many cases of 12 cans of soup can be made.

Answers

Answer:

1,558 cases of 12 cans of soup can be made

Step-by-step explanation:

Here, we want to calculate how many cases of cans of soup can be made;

In the first part, we had 325 cases of 24 cans

Now, if we split the 24 cans into 2 , we have 12 cans ; So the number of cases is now 325 * 2 = 650 cases

In the second part, we had 227 cases of 48 cans

If we split 48 cans into 4 , we can have 12 cans

So the new number of cases here become 227 * 4 = 908 cases

So the total number of cases we have will be;

908 + 650 = 1,558 cases

the provider has prescribed ibuprofen 800 mg po tid. the unit dose is 400 mg tablets. how many tablets will be administered to the client? enter numeral only.

Answers

The provider has prescribed ibuprofen 800 mg po tid. the unit dose is 400 mg tablets.6 tablets will be administered to the client.

To calculate the number of tablets that will be administered to the client when the provider has prescribed ibuprofen 800 mg po tid and the unit dose is 400 mg tablets, the following steps can be used:

Step 1: Determine the total daily dose

To determine the total daily dose, the 800 mg dose prescribed three times daily can be added up.

800 mg + 800 mg + 800 mg = 2400 mg/day

Step 2: Calculate the number of tablets needed to achieve the daily dose

The total daily dose can be divided by the strength of the tablet to determine the number of tablets needed to achieve the daily dose.

2400 mg/day ÷ 400 mg/tablet = 6 tablets/day

Therefore, 6 tablets will be administered to the client.

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Given the two concentric circles with center N below, LN = 13.5. Find the area of
the shaded region. Round your answer to the nearest tenth if necessary.

Answers

Answer:

371.5 square units.

Step-by-step explanation:

the shaded region is a ring-shaped region between the two concentric circles, we can find the area of the shaded region as follows:

The area of the large circle is given by:

Area of large circle = π × r^2

where r is the radius of the large circle, which is 13.5.

Area of large circle = 22/7× (13.5)^2

Area of large circle ≈ 572.78

The area of the small circle is given by:

Area of small circle = π × r^2

where r is the radius of the small circle, which is 8.

Area of small circle = 22/7× (8)^2

Area of small circle ≈ 201.14

The area of the shaded region is the difference between the area of the large circle and the area of the small circle:

Area of shaded region = Area of large circle - Area of small circle

Area of shaded region ≈ 572.78 - 201.14

Area of shaded region ≈ 371.5

Therefore, the approximate area of the shaded region is 371.5square units.

Answer:

The area of the shaded region is 371.5 square units to the nearest tenth.

Step-by-step explanation:

To find the area of the shaded region of two concentric circles with a common center, subtract the area of the smaller circle from the area of the larger circle.

The formula for the area of a circle is A = πr², where r is the radius of the circle.

From inspection of the given diagram:

The radius of the larger circle is LN = 13.5.The radius of the smaller circle is MN = 8.

Therefore, the area of the shaded region is:

$\begin{aligned}\textsf{Area of shaded region}&=\textsf{Area of larger circle}-\textsf{Area of smaller circle}\\&=\pi (13.5)^2-\pi (8)^2\\&=182.25 \pi - 64 \pi\\&=118.25 \pi\\&=371.493331...\\&=371.5\; \sf unit^2\;\;(nearest\;tenth)\end{aligned}$

The area of the shaded region is 371.5 square units to the nearest tenth.

Mario spent $23.85 at the bookstore on one book and some magazines. The book cost $12.60 and the magazines cost $2.25 each. How many magazines did Mario buy?

Answers

Answer:

Mario brought 5 magazines

Step-by-step explanation:

If you just add $12.60 and $2.25 together then keep adding $2.25 until you get to $23.85, you'll get your answer.

So like,

(1) 12.60 + 2.25 = 14.85

(2) 14.85 + 2.25 = 17.1

(3) 17.1 + 2.25 = 19.35

(4) 19.35 + 2.25 = 21.6

(5) 21.6 + 2.25 = 23.85

So the total would be 5. Mario bought 5 magazines.

does anyone know how to do this that can help me?

Answers

y = 62
This angles are corresponding

Y=62 hope this helped

Homework help, no need to explain answer

Answers

Answer:

Square each side

Subtract 1 from each side

Divide by 3

Step-by-step explanation:

sqrt(3x+1) = 4

Square each side

(sqrt(3x+1))^2 = 4^2

3x+1 = 16

Subtract 1 from each side

3x+1-1 = 16-1

3x= 15

Divide by 3

3x/3 = 15/3

x = 5

Which sentence contains a metaphor?(1 point) The sunset was a masterpiece of brilliant oranges, pinks, and purples. Connie walked her dog along the tree-lined street. I was so hungry that I could have eaten ten thousand hamburgers. Milo was as fast as a cheetah when he ran the race at school.

Answers

Answer:

Step-by-step explanation:

because it is

Which of the following graphs represents the function y = 2 cos(x – π∕2) – 1?

Which of the following graphs represents the function y = 2 cos(x 2) 1?

Answers

Answer:

Step-by-step explanation:

maximum value is reached if cos (x-π/2) = 1, so the maximum value y = 2-1 = 1

minimum value is reached if cos (x-π/2) = -1, so the minimum value y = -2-1 = -3

The least preferable and reliable method of selecting people to participate in a research study is:_____.

Answers

The least preferable and reliable method of selecting people to participate in a research study is convenience sampling.

Convenience sampling is a type of sampling in which you include people who are easy to reach. Convenience sampling is included in non-probability sampling because it doesn't include a random selection of the participants. Convenience sampling can be used when you need to conduct a study quickly or when you are on a shoestring budget as it is inexpensive compared to other methods of sampling.

It is the least preferable method because of the inability to generalize the result of the survey to the population as a whole. In addition to this, there is a possibility of under or over-representation of the population as a whole. The biggest problem with convenience sampling is dependence as the sample items are connected to each another in some way. This dependency interferes with statistical analysis.

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What expression is equivalent of 18 1/5 -{-22 2/5} - {-40 1/5}

Answers

Step-by-step explanation:

404/5 us the correct answer

The table below provides the values of the functions f(x) and g(x) for several values of x. g(x) f(x) -1 ņ -2 1 Īonno 1 1 m-oilo 1 2 3 no - 12 Which of the following is a solution to the equation f(x) = g(x)?

Answers

Answer: x= -1

Step-by-step explanation: good luck on the mid terms baddies purrr

Answer:

X= -1

Midterm

Suppose television networks raise the fees that cable television systems must pay to show their programs.

How would that affect the supply of programs for cable television? (Illustrate each with a graph)