A salesman drove from his home to a nearby city at an average speed of 40 mi/h. He returned home at an average speed of 50 mi/h. What was his average speed for the entire trip?

Answers

Answer 1

Answer:

44.44 mph

Step-by-step explanation:

[tex]speed = \frac{distance}{time} = \frac{distanceTo + distanceFrom}{time1 + time2} = \frac{2d}{\frac{d}{40} + \frac{d}{50} }[/tex]

= [tex]\frac{2d}{\frac{5d + 4d}{200} } = \frac{2d}{\frac{9d}{200} }[/tex]

= 2d * [tex]\frac{200}{9d}[/tex]

= 400 / 9

= 44.44

Answer 2

Answer:

44.4 miles per hour

Step-by-step explanation:

d = the distance between cities

t 1= the time from home to the city

t 1 = the time . from the city to home

2d/t1 + t2 = 2d/ d/40 + d/50

=2d/5d+4d =2d/9d

divide both sides by 200

=2d * 200/9d =400/9

= 44.4


Related Questions

Solve the problem: a + 3 = 2a + 2

Answers

Answer:

a=1

Step-by-step explanation:

a+3=2a+2

a-2a=2-3

-a=-1

a=1

3 3/5 x (-8 1/3)=

Please answerr

Answers

Answer: 30

Step-by-step explanation:  3 3/5x-8 1/3=30

Easy Math Your Weclome I hope That helped you :)

Multiply. Write your answer in scientific notation.
(8.8 x 10')(7.5 x 10
10 )

Answers

6,666,00 Feet
Answer to you’re question

subtracting 1 from the product of 5 and x gives the same value as adding 10 to the product of 3 and x. record your answers pls help​

Answers

Answer:

x=11/2

Step-by-step explanation:

5x-1=3x+10

2x-1=10

2x=11

x=11/2

Answer:

5.5

Step-by-step explanation:

5.5x3=25.6

25.6+10=27.6

5x5.5=27.6

27.6-1=26.6

Maddie and Elli are selling tickets to the school play. They cost $3.50 each. They sold tickets for several hours over the weekend. If Maddie sold 5 tickets per hour and Elli sold 8 tickets every other hour, how many tickets would they need to sell to have sold exactly the same amount of tickets? (Show all work to get credit)

Answers

10 because yeah maddie yeah luv

H E L P m e P L E A S EEEEE

Answers

Answer:

the answer is gonna be B

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

Answers

Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

Answer:

B

Step-by-step explanation:

What is the answer??? Only if you know please i will report you no games

Answers

Answer:

a b and E

Step-by-step explanation:

Identify the GCF of the following terms:
14a²bc and 12a+b6 and 10abc3

Answers

I think it’s 2ab because it’s the largest number you can divide all of them by

Para el bazar del colegio Lucía prepara 2 hl de canelazo y los vende en vasos de 210 ml de capacidad. ¿Cuántos vasos de canelazo completos puede vender Lucía? A. 848 B. 952 C. 1032 D. 1252 rapidoo xfa

Answers

Answer:

C. 1032

Step-by-step explanation:

Parallel lines are denoted by what symbol ?

Answers

Answer:

its like this relly close lls like this ll

since the two lines dont touch.

Perpendicular lines have the upside down T things since the two lines will intersect at 90° angles.

So parallel is ll

and perpendicular is T

Step-by-step explanation:

lamont is trying to determine how many $5 and $10 bills he needs to make $300 in total he has 35 bills. If x represents the number of $5 bills he has and y represents the number of $10 bills use the graph below to determine how many of each bill he has

Answers

Answer: 10 $5 bills, and 25 $10 bills.

Step-by-step explanation:

Let's define the variables:

F = number of $5 bills.

T = number of $10 bills.

We know that he wants to make $300 in total, then we have:

F*$5 + T*$10 = $300

And we also know that in total there are 35 bills, then:

F + T  = 35.

So we have the system of equations:

F*$5 + T*$10 = $300

F + T  = 35

To solve this, the first step is isolate one of the variables in one of the equations, i will isolate F in the second equation to get:

F = 35 - T

Now we can replace that in the other equation, and get:

(35 - T)*$5 + T*$10 = $300

Now we can solve this equation for T.

$175 - T*$5 + T*$10 = $300

T*$5 = $300 - $175 = $125

T =  $125/$5 = 25

and:

F = 35 - T = 35 - 25 = 10

Then he has:

10 $5 bills, and 25 $10 bills.

Jackson buys a softball for $15 plus a 6% tax. Avery buys a volleyball for $13 plus a 6% tax. Enter the difference in the amount Jackson and Avery paid, including tax. Round your answer to the nearest cent.

Answers

Answer:

The answer is that the difference in the amount that Jackson and Avery paid including tax is $1.31.

Step-by-step explanation:

First, you have to calculate the amount they paid including the tax by finding the 6% of each price and adding this amount to the price:

-Jackson: $15*6%=0.09

$15+$0.09=$15.09

-Avery: $13*6%=$0.78

$13+$0.78=$13.78

Now, you have to subtract to find the difference:

$15.09-$13.78=$1.31

According to this, the answer is that the difference in the amount that Jackson and Avery paid including tax is $1.31.

Does the equation y=x/2
represent a proportional relationship?

Answers

Answer:

Yes

Step-by-step explanation:

y=.5x

Answer:

Yes, y=x/2 is a proportional relationship.

Step-by-step explanation:

As x increases, y increases too.

Describe your approach to solving a given triangle. Include specific details about what you look for and how you start the problem. What are the important pieces of information that affect how you solve the triangle?
(edginuity)

Answers

Answer:

In order to solve a right triangle, you must first figure out which angle is the right angle. Knowing the right angle will also tell you which side is the hypotenuse, since the hypotenuse will always stand opposite the right angle. In this text, for the sake of consistency, in all triangles we will designate angle C as the right angle, and side c and the hypotenuse. To finish solving a right triangle, you then must either know the lengths of two sides, or the length of one side and the measure of one acute angle. Given either of these two situations, a triangle can be solved. Any further information about a triangle may be helpful, but it is not necessary.There are four basic techniques to use in solving triangles.Using the Pythagorean Theorem, once two sides are known, the third side can be calculated.Using the fact that the acute angles of a right triangle are complementary, once one acute angle is known, the other can be calculated.Using the definitions of the trigonometric functions, any two parts of a triangle can be related in an equation to equal a third part.Using the definitions of the inverse trigonometric functions, any two sides of a triangle can be related in an equation to equal the inverse function of an unknown acute angle

Step-by-step explanation:

PLEASE HELP ASAP ILL GIVE BRAINLIEST FOR THE RIGHT ANSWER!!!!



which of the lines graphed has a slope of 1 and a y-intercept of -3?

Answers

Answer: The attached image (Graph 4) is the correct graph.

Step-by-step explanation:

1. Find the graph with the point (0, -3), the y-intercept. This eliminates all but two graphs.

2. Out of the two graphs you have narrowed down the options to, choose the graph with the positive slope (slope of 1). Since graph 3 has a negative slope amd graph 4 has a positive slope and still satisfies the correct intercept, the 4th graph is the correct option.

Marissa has 2.5 hours of swim practice per day. She practices 4 days per week. The swimming season is 14 weeks long.
How many total hours of swimming practice does Marissa have in one swimming season?

Answers

Answer: 140

Step-by-step explanation: 2.5 x 4 = 10

10 x 14 = 140

you multiply the amount of hours she swims for 4 days and then multiply those hours by 14 because the swimming season is 14 weeks long.

Find the slope of the line that passes through (10, 5) and (7, 4).

Answers

Answer: M (slope) = -1 / -3 = 0.3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1) is (10, 5) and (X2,y2) is (7, 4).

So

Slope= 5-4/10-7

= 1/3

So slope is 1/3

The smiths went to Larosa's for dinner and spent $42.50 on dinner. There is a 6.5% tax and they want to give a tip of 20% before the tax is added. What is the total price of their bill?

Answers

Answer:

Step-by-step explanation:

cost of dinner = $42.5

Tax = 6.5%

Tip = 20%

Total amount percent on food  = 26.5%

Amount paid on the original price = 26.5% of $42.5

Amount paid on the original price = 0.265*42.5 = $26.5625

Total price of the bill = $42.5 + $26.5625

Total price of bill = $69.0625

Add or subtract write your Answer in simplest form

Answers

Answer:

The answer is 1 and 1/4

The second option

Step-by-step explanation:

Hopes this helps

Which of the following is a composite number between 20 and 40?
A. 36
B. 31
C. 37
D. 29

Answers

Answer:

A. 36

Step-by-step explanation:

Answer:

A. 36.

Step-by-step explanation:

The other numbers arent composite to 20 and 40

How many miles had been run after 24 minutes?

Answers

Answer:

umm.. i think its 26.2 miles?

The table represents some points on the graph of a linear function. Which equation represents the same relationship?
A. y+286=1/12(x+20)
B. y+20=1/12(x+268)
C. y+268=12(x+20)
D. y+20=12(x+268)

Answers

Answer:

H

Step-by-step explanation:

The linear function which is passing through the points (-20, -268) and (-1, -40) is y + 268 = 12(x + 20). Then the correct option is C.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The table represents some points on the graph of a linear function.

Let the linear relationship is given below.

[tex]\rm y + 268 = \dfrac{-268 + 40}{-20 + 1} (x + 20)\\\\y + 268 = 12 (x + 20)[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Can someone help me solve number 1-8? Plzzz I really need help!!!!!!!

Answers

Answer:

1.) x = 1

2.) x = -30

3.) x = -2

4.) x = 15

Sorry I have to work on other stuff but I did half of them for ya

Step-by-step explanation:

write each number in standard form. eight million one hundred seventy-four thousand, six hundred thirty-two​

Answers

Answer:

8,174,632

Step-by-step explanation:

hope this helps

Answer:

8,174000 and 600,032

Step-by-step explanation:

PLEASE HELPNWILL GIVE BRAINLIEST​

Answers

Answer:

0.010

Step-by-step explanation:

I want to come closer to god, and he said don't confess by mouth but by heart, how do I do this

Answers

i also struggle with coming closer to god but this is what i think this means. you need to come to terms with your sins instead of confessing them. you then need to make improvements in your life to make yourself a better person. this change of heart shows god you are trying your hardest and that you have became a better person. hope this helps and good luck!

A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long?

Answers

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

help idk how to do this
It takes Frank 2 hours to build a fence. It takes Tom 9 hours to build the same fence. How long would it take to build the fence if Frank and Tom built the fence together?

Answers

Answer:

5 1/2 hours

Step-by-step explanation:

You would have to add 2 and 9 and then divide by 2. (Find the average of the two)

2 + 9 = 11

11 / 2 = 5.5

So if you add their times then divide you receive and average of five and a half hours.

The length of two pieces of rope are in a 4:5
ratio. If the two rope lengths combine to 3 feet,
how many inches is each piece of rope?

Answers

hope it helps you

I am trying to help you

Cut off cut off from 11m

2 3/5 +3 3/10

13/5 +33/10

(26+33)/10

59/10 m

Length of remaining= 11-59/10

(110 -59)/10

51/10

5 1/10 m ans.

Other Questions
Trade with Asia and Middle Eastern peoples also allowed for the exchange of cultural ideas. It also influenced science and art.Do you think trade has the same impact today? Why or why not? Which statement best describes how Solon influenced ancient Greek government?A. He was part of the aristocracy, which gave more power to wealthy citizens.B. He formed a government that was the basis for democracy.C. He was a tyrant who enslaved poor Greek citizens.D. He named himself king and began a dynasty. a current of 2a is switched on for 8 seconds calculate how much charge flows hello people come talk pwease :D What is one of the criteria that historians consider? Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. Then, from the gas station, she travels 5 miles to return home. The entire trip forms a triangle. What was the smallest angle made in her trip? Help me with this question please HELP PLSS Which are the following are considered peripherals? Mark all that are correct Convert 45C to Fahrenheit._____ F PLEASE HELP ASAP ILL MARK BRAINLEST MAKE SURE ITS THE RIGHT ANSWER PLS HALP ME!!!!!! You have $6.50 to make copies. Each copy costs $0.45. Write and solve an inequality that represents the number of copies you can make. According to the OOH, what are some educational, training, certification, or licensing options required or helpful for Chefs? Check all that apply. Find the characteristic polynomial and the eigenvalues of the matrix. [5 3] [-4 4] A large piece of broken bottle was found at the scene of a crime. part of a broken bottle was found with a suspect. Can the top be uniquely associated (individualized) with the bottom? Explain. In which presidential election did the losing candidate actually receive more popular votes?A. Grant vs. SeymourB. Cleveland vs. HarrisonC. Cleveland vs. BlaineD. Garfield vs. Hayes What does it mean to develop characters? A. make readers like the characters B. help readers understand the characters C. help readers remember the characters' names D. figure out what a character will wear A baker uses 4.3 pounds of flour daily. How many ounces of flour will he use in three weeks? Use words, numbers, or pictures to explain your thinking. (1 lb = 16 oz) 45% of a school brought in permission slips for Skateland. If the school received 150 permission slips, how many students are there in the school? AYUDA!!!!!1, Read and answer the following questionsA) Why are the Galapagos island a good option for travelers who want to go snorkeling Solve |x + 6| - 7 = 8please help