A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct? Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses. Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes. Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute. Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

Answers

Answer 1

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Let's rule out the options given one by one.

Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.

This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.

Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.

This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.

Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

This option is correct. 1.2 is the rate of which the carrier delivers mail.

Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.

Answer 2

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:


Related Questions

Round to the nearest hundredth : 3.2649

Answers

Answer:

3.26

Step-by-step explanation:

Rounding to the nearest hundredth means round to the nearest two decimal places.

To do this, all we need to look at is the 3rd decimal place.

Since 4 is not 5 or greater, that means we must round down, no matter how close it is to 5.

Therefore, the answer should just be 3.26

Answer:

3.26

Step-by-step explanation:

You round the second place after the decimal (6) by the place after it (4).

If the place after the number you need to round is a 5 or up, the decimal you round goes up one, if it is a 4 or lower it stays the same.

E.G. if 3.2649 was 3.2659 the hundreds would be rounded to 3.27. Since it's a 4, the six stays the same at 3.26.]

hope this helps (/o.o)/<3


Which of the following is not a true statement?

a) 4 * -3 = -8 - 4
b) 1/4 * -8 = 7 + -9
c) 3 + -7 =2 * -4
d) 8 / -2 = -10 + 6

Answers

Solve each equation to see if the left side equals the right side.

The answer would be C because when solved it becomes -4 = -8 which is false.

Find the mode of the data.

10, 15, 7, 15, 15, 9, 11, 7, 9, 10

Answers

Answer:

15

Step-by-step explanation:

mode is the most common number in a set. and in the question most common is 15

A 45-foot ladder makes an angle of measure 55 degrees with the ground. How high up the wall does the
ladder reach?

Answers

Answer: is it degrees or something else? cause i dont think "degrees" is the word for that. Just asking if you made sure your sentence is correct

Step-by-step explanation:

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Write the equation and solve. plz put the right answer

Answers

Answer:

[tex]5\[/tex]

Step-by-step explanation:

Let x be cost of 1 eraser.

[tex]5 +4x=25[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

Answer:

The buyer bought four erasers and a magazine for $25.

The cost of each magazine is $5

The cost of an eraser is x dollars

The cost of 4 erasers is 4x

Step-by-step explanation:

Cost of the Erasers + Cost of the Magazine = Total Cost

4x + $5 = $25

Subtract 5 from both sides to isolate the term with the variable.

4x + 5 -5 = 25 -5

4x = 20

The last thing you do is you divide it by 4 on both sides to isolate the variable.

x = 20/4 = $5

an arch in the shape of a semicircle is to be set up at the entrance of a festival the distance around the arch is about 110 ft what is the height of the arch in feet round your answer to the nearest whole number

Answers

Answer:

35

Step-by-step explanation:

circumference is pi x diameter since this is a semi circle you then divide it by 2

so if you work backwards 110x2 = 220 divided by pi

then you get the diameter and divide it by 2 to find the radius

During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.19 centimeters of snow fell in Alperen's hometown.

Answers

Answer:

5.64 cm

Step-by-step explanation:

Required:How much more rain fell in Dubaku's town than in Elliot's town?

8 centimeters of rain fell in Dubaku's hometown

2.36 centimeters of rain fell in Elliot's hometown

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 cm.

Therefore, 5.64 cm of more rain fell in Dubaku's town than in Elliot's town.

Answer:

5.64

Step-by-step explanation:

Calculate the perimeter of ABCD

Answers

Answer:

28.13 cm

Step-by-step explanation:

The first step we need to do is create the segment AC.

Then, we can find its length using the law of cosines in the triangle ABC:

b^2 = a^2 + c^2 - 2*a*c*cos(B)

b^2 = 8^2 + 6^2 - 2*8*6*cos(95)

b^2 = 64 + 36 - 96*(-0.0872)

b^2 = 108.37

b = 10.41 cm

Then, in the triangle ADC, we can use the Pythagoras' theorem to find the length of DC:

DC^2 + DA^2 = AC^2

DC^2 + 25 = 108.37

DC^2 = 83.37

DC = 9.13 cm

So the perimeter of ABCD is:

Perimeter = AB + BC + CD + DA

Perimeter = 6 + 8 + 9.13 + 5 = 28.13 cm

Answer:

The perimeter of the shape is 28.13 cm

Step-by-step explanation:

First of all, we will have to draw a line from point A to point C. This will divide the shape into two parts, both of which are triangles.

We will use the dimensions of the newly formed triangle ABC to get the side AC.

The cosine formula will be apt for this purpose:

[tex]AC^{2}=AB^{2}+BC^{2}-(2 \times AB\times BC\times cos \theta)[/tex]

[tex]AC^{2}=6^{2}+8^{2}-(2 \times 6\times 8\times cos( 95))=108.37[/tex]

[tex]AC=\sqrt{108.37}=10.41 cm[/tex]

Now we have AC as 10.41 cm,

we can see that AC forms the hypothenuse of the right-angled triangle ADC.

From Pythagoras' theorem,  DC can be calculated as

[tex]DC =\sqrt{AC^{2}- AD^{2}}[/tex]

[tex]DC =\sqrt{10.41^{2}- 5^{2}}= 9.13 cm[/tex]

Therefore the perimeter of the shape is 8 + 5 + 9.13 + 6 =28.13 cm

The perimeter of the shape is 28.13 cm

Anyone know this ? Please help :(

Answers

Answer:

D

Step-by-step explanation:

Just plug in and check.  Plug in the first digit for x and the second digit for f(x)

First, try A. Does 5^0= 5?  no so A is wrong

Now try B.  Does 5^5=1?  no so B is also wrong

Next try C.  Does 5^0=0? no so C is wrong.

Finally, try D.  Does 5^1=5?  Yes so D is correct.

An angle is bisected by a segment forming two new angles. ∠ 1 and ∠ 2. Find m ∠DBC if m ∠2 = 27.

Wouldn’t it be still 27? So, like 27 + 27 = DBC?

Answers

Answer:

Yes, it will still be 27? So, like 27 + 27 = DBC.

Answer:

54

Step-by-step explanation:

Bisecting means to divide in half

<1  = <2

If <2 = 27 , then <1 = 27

The sum of the angle = 27+27 = 54

If DBC is the original angle, then DBC = 54

A answer would be greatly appreciated explanation is not needed because I have to turn this in 3 minutes

Answers

Answer:

Anwser is C

Step-by-step explanation:

RS looks like PT so just add TQ and thats 3 i guess

You want the volume of the box to be 9 cubic inches.

Find the rational solution(s) of the equation. Then use polynomial long division to find the other solution(s).

What are the possible side lengths of the box?

Answers

Odyssey ware Answer: 9 = 3 x 3 x 3

Step-by-step explanation:

If the volume of the box is 9. The possible side lenths are:

V = L x W x H

9 = 3 x 3 x 3.

What I did was estimated how 9 could be split up into 3 so that it’ll make sense for L x W x H.

Mrs. Greer was making pancakes for breakfast. Baking is an exact science so correct measurements are crucial. She had a recipe that called for 1 1/2 cups of water for 2 cups of mix. She only had 1 1/2 cups of mix. How much water should she add as a fraction, since her measuring cup only has fractions. (This is a true story, I actually did this on Sunday, only an exact fractional answer will count)

Answers

Answer:

[tex]\frac{9}{8}[/tex] cup

Step-by-step explanation:

write a proportion 1 1/2 / x = 2 / 1 1/2. when solved, the answer is 9/8 cup

Who can help me with this multiple choice problem

Answers

Answer:

the answers are E and C

PLEASE HELP ANSWER BOTH QUESTIONS

Answers

Answer: the trap is 22.5 in. cubed

Step-by-step explanation:

Answer:

22.5 in cubed

Step-by-step explanation:

Need help! What’s the answer to number two??

Answers

Answer:

V = 5(12)(7) which is F.

Step-by-step explanation:

V = LWH

L = 12

W = 5

H = 7

12 * 5 * 7

Answer:

if you need to find the area, the answer is 420, I think All in all the answer is F <last one>

Step-by-step explanation:

I think the first thing you do is L x W (12 x 5), which is 60. Then you do 60 x H (60 x 7), and you will get 420.

I am not entirely sure if I got it right.

If you want to buy an item in a store that costs $38 and is on sale for 10% off, then how much would the item actually cost you after the discount? Round to the nearest cent.

Answers

The item would cost- $34.20

Which best describes the solution to 4 minus 7?

Answers

Answer:

I think the solution to 4-7 is 3

Answer: D

Step-by-step explanation:

on a test, laura completes the expressions shown. 4^3 x 3^5 = 12^8. what mistake did she make and what is the correct expression

Answers

4^3= 4*4*4=64. 3^5= 3*3*3*3*3=243. 64*243=15,552. 12^8= 12*12*12*12*12*12*12*12= 429,981,696. 15,552≠429,981,696.

find six rational numbers between 9 and 10​

Answers

Answer:

To find 6 rational numbers between 9 and 10 are

9x7\1x7 10x7\1x7

63\7 70\7

so, 6 rational numbers are:

64\7,65\7,66\7,67\7,68\7and 69\7

The rational numbers that are between 9 and 10 are:

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

There are infinite numbers between 9 and 10.

Rational numbers are recurring and terminating numbers.

Numbers that are rational between 9 and 10 are:

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9

Thus,

The rational numbers between 9 and 10 are

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ2

A rectangular prism has a length of 2 y, a width of 3 y, and a height of 5 y. If the volume of the prism is 10,290 units, what is the value of y?

Answers

Answer:

y=7

Step-by-step explanation:

2x7=14

3x7=21

5x7=35

14x21x35=10,290


Find the value of x in the given figure using properties of parallel lines.
A) 138°
B) 48°
C) Can't be determined.
D) 42°

Answers

Answer:

[tex]x = 42[/tex]

Step-by-step explanation:

Given

The diagram above

Required

Find x

When two parallel lines are divided in such a way as it is in the above figure;

x and 138 are said to be supplementary angles

The rule about supplementary angles is that, they add up to 180

In other words,

[tex]x + 138 = 180[/tex]

To solve this, we subtract 138 from both sides

[tex]x + 138 - 138= 180 - 138[/tex]

[tex]x = 180 - 138[/tex]

[tex]x = 42[/tex]

Hence, the value of x when solved using the properties of parallel lines is: [tex]x = 42[/tex]

Taleen has 8 stamps in her collection, and she decides that each month she will add 3 stamps to her collection.

What does the rate of change represent?

What is the rate of change?

What does the initial value represent?

What is the initial value?

Answers

Answer:

The rate of change represents the number of stamps that is added each month.

The rate of change is 3

The initial value represents the number of stamps she had before she started adding 3 every month.

The initial value is 8

Step-by-step explanation:

The rate of change is 3 because that is how many stamps are added each month.

The initial value is 8 since that was the original amount she had before adding stamps every month.

Answer:

Answers are below

Step-by-step explanation:

The rate of change represents the number of stamps added every month.

The rate of change is 3.

The initial value represents how stamps she had before adding more.

The initial value us 8.

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

Answers

Step-by-step explanation:

Mia runs about 1.8 miles in 20 minutes. Divide by 20 to see how much she runs in a minute. You would her 0.09 which means she runs 0.09 miles a minute.

Answer:

0.09 miles per min

Step-by-step explanation:

The ratio of men to women working for a company is 3 to 2 . if there are 39 women working for the company, what is the total number of employees?

Answers

NVM IDK please delete my answer sorry idk how

Solve using distributive property. (3x2-2x+7)(x2+2x) Thank you!

Answers

Answer:

[tex]3x^4+4x^3+3x^2+14x[/tex]

Step-by-step explanation:

[tex](3x^2-2x+7)(x^2+2x)[/tex]

[tex]3x^4+6x^3-2x^3-4x^2+7x^2+14x[/tex]

[tex]=3x^4+4x^3+3x^2+14x[/tex]

Answer:

3x^4+4x^3-3x^2+14x

Step-by-step explanation:

(3x^2-2x+7)(x^2+2x)

= 3x^2(x^2+2x)-2x(x^2+2x)+7(x^2+2x)

= 3x^4+4x^3-3x^2+14x

An integer 3a5b can be divided by 5 and 6, what is the value of a + b.

Answers

Answer:

a + b = 1 or 4

Step-by-step explanation:

The integer = 3a5b

The factors of the integer includes 5 and 6

∴ 5 × 6 = 30 is a factor of the integer hence 10 is also a factor which gives b = 0

We check for factors of four digit numbers with the first digit = 3, last digit = 0, penultimate to the last digit = 5 and divisible by 30

We have a50 divisible by 30, which gives, a5 divisible by 3 which includes

15 and 45 hence a can be 1 or 4 and a + b = 1 + 0 = 1 or  4 + 0 = 4.

Write the equation 0.3x2 + 5x - 7 = 0 in general form and then choose the value of "b."
opinions are :
5
70
50

Answers

Answer:

b = 5

Step-by-step explanation:

0.3x^2 + 5x - 7 = 0

ax^2 + bx + c is the general form of a parabola

a = ,3

b = 5

c = -7

Answer:

The answer is 50

Step-by-step explanation:

I just tried 5 and it is incorrect.


Find x.

Please help !!

Answers

I am pretty sure it’s C but I’m not very good at these kind of problems...

The accepted density of copper is 8.96 g/cm3. A lab team measured the density of a copper sample in a lab and calculated a density of 8.40 g/cm3. Part A: Which expression calculates the percent error for the calculated density of copper? Part B: What is the percent error? Select two answers: one for Part A and one for Part B. Answer Choices: B: 4.84% B: 6.51% A: 8.40|8.4+8.96|⋅100 B: 6.67% A: |8.40|8.96⋅100 A: |8.40−8.96|8.96⋅100 B: 2.33% A: |8.40−8.96|8.40⋅100

Answers

Answer:

A: [|8.40−8.96|/8.96]⋅100,

B. 6.25%

Step-by-step explanation:

A.

% error =[ | calculate density - accepted density|/ accepted density]*100%

A: [|8.40−8.96|/8.96]⋅100

B.  |8.40−8.96|/8.96⋅100 = 6.25%

Other Questions
I need help on this. 11.What did Darwin think about on his journey home to England?12.After he returned to England, what hypothesis did Darwin develop to explain his findings? Dina was running for two hours at a speed of 6 miles per hour. How far did she run? Audreys free-throw percentage so far this season is .875. If she makes only 13 of her next 20 free throws, her percentage will drop to .860. How many free throws has Audrey made this season? What information is provided in the second section of the report? a. Information about overdue accounts b. Accounts that have been turned over to a credit agency c. Detailed account information d. Summarized account information Why did Hitler kill himself Find the missing term.(Blank) + 7 - 3i) + (5 + 91) + 131 = 10 - 5i.Options:-2 - 24i2 - 12i-12-24-2 + 141 True or False Adrienne Mandel, a state legislator has tried to pass lenient teen driving laws. Simplify (4+2n3)+(5n3+2). Write the answer in standard form. EASY!! WILL GIVE BRAINLIEST!!!! Read the song Hug someone: Everybody needs somebody hugging someone, somewhere, somewhere. Hugging here, Hugging there Hugging me Hugging you Oooo Hug someone What is the point of this song? What is the meaning that you interpret? What was the person probably thinking while writing this song? Thanks!! Peter accumulated $7,500 in credit card debt. If the interest rate is 3.5% per year and he does not make any payments for 10 years, how much will he owe on this debt in 10 years by compounding continuously I NEED HELP ASAP! Alex wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 5 3/4 FT by 3 1/2 FT. WHATS THE AREA OF THE CARPET IT NEEDS TO COVER? A cube of ice is taken from the freezer at -5.5 C and placed in a 75-g aluminum calorimeter filled with 300 g of water at room temperature of 20.0 C. The final situation is observed to be all water at 17.0 C. The specific heat of ice is 2100 J/kgC, the specific heat of aluminum is 900 J/kgC, the specific heat of water is is 4186 J/kgC, the heat of fusion of water is 333 kJ/Kg.What was the mass of the ice cube?Express your answer to two significant figures and include the appropriate units. Simplify.-2(x+3)+6x Please help me with this Im struggling 9. Use the quadratic formula to solve the equation.- x? - 5x+6= 0O -12,2O -6,1O-27, 22O-1,6 FIND THE SUBJECT IN THIS SENTENCE -The slower pace of life is one reason many people choose to live in a small town. what does dependent and independent variables mean How does rubbing one object on another create static electricity?O A. The friction from rubbing creates electrons as a by-product of theheat.B. Rubbing removes all electrons from one object.C. Rubbing causes charging by induction to occur.uD. The rubbing moves electrons to the object that holds them moretightly. 16.Sulphuric acid + Sodium hydroxide is equal to Sodium sulfate + water.a.Acid + metalb.Acid + alkalic.c.Acid + carbonated.d.None of the aboveWhich is correct?