A man walks for 2 hours at a certain speed. He then cycles at three times that speed for 4 hours. He goes 77 km altogether. Find the speed at which he walks.

Answers

Answer 1

The speed at which he walks is 7.7km/hr

The formula for calculating the distance is expressed as;

distance = speed * time

Let the speed moved by the man be x

If the  man walks for 2 hours at a certain speed, his distance will be 2x km

If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr

If he goes 77km altogether, hence;

2x + 4(2x) = 77

2x + 8x = 77

10x = 77

x = 77/10

x =7.7km/hr

Hence the speed at which he walks is 7.7km/hr

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Related Questions

Mr. Jameson has an apple orchard on his farm. He hires his daughter, Rachel, to pick apples and offers her two payment options:

Option A: $1.50 per bushel of apples picked

Option B: 1 cent for picking one bushel, 3 cents for picking two bushels, 9 cents for picking three bushels, and so on, with the amount of money tripling for each additional bushel picked

HELP ASAP

Answers

Answer:

Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1

Part B: Option A:  $9 

Part C: Option B:  $1,771.47

Part D: The eighth bushel picked is when the exponential function exceeds the linear function.

Step-by-step explanation:

Part A: Write a function to model each option.

Option A:  f(x) = 1.50x, where x is the number of bushels of apples picked

Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.

--------------------------------------------------------------------------------------------------------------

Part B: If Rachel picks six bushels of apples, which option should she choose?  

Option A:  $9    Option B:  $2.43   

Option A is better since what the number is would be higher.

1.50x6 = 9. If I were to do the same for option b, option a would end up higher.

--------------------------------------------------------------------------------------------------------------

Part C: If Rachel picks twelve bushels of apples, which option should she choose?  

Option A:  $18 Option B:  $1,771.47

After calculating both of them by multiplying by 12 for each, option B ends up to be much better.

--------------------------------------------------------------------------------------------------------------

Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?

The eighth bushel picked is when the exponential function exceeds the linear function.

2.Một công ty sẽ bán N quyển sách sau khi chi tiêu x nghìn $ cho việc quảng cáo quyển sách
mới này, được cho bởi

2 N x x x = −   60 5 30

Answers

Answer:

that makes no sence we t guy

Step-by-step explanation:

hi hi hi hi hi hi h i hi h h ih  i hi hi i  hi h

work out angel x

Please could u help me with this
ASAP thanks you ​

Answers

Angle ————————————————

a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.

Answers

Answer:

More cups

Step-by-step explanation:

Cups are a smaller measuring unit than gallons are. Therefore it would take more cups than gallons to fill a pot.

PLEASE GIVE ME THE ANSWER ASAP

What is the solution to this system of linear equations?
5x + 6y = 29
3x + 6y = 27
A. (7,1)
B. (1,7)
C. (4,1)
D. (1.4)

Answers

Answer:

no answer b/c the terms are unlike term

Answer:

D. ( 1,4)

Step-by-step explanation:

Is 27, 333 divisible by 3? Write the number 27,333 as the product of 3 and another factor.

Answers

Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

How do I do this question!

Answers

Answer:2 x 3

Step-by-step explanation:

Answer: [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

2[tex]\frac{1}{10}[/tex] barrels of almonds to make 3 batches of granola bar.

We need to turn fraction 2[tex]\frac{1}{10}[/tex] into a mixed number

2[tex]\frac{1}{10}[/tex] → [tex]\frac{21}{10}[/tex]

Now we set up an equation.

[tex]\frac{\frac{21}{10} }{3} =\frac{x}{1}[/tex]

Solve for x by cross multiplying and dividing.

[tex]\frac{21}{10}[/tex] ÷ 3 (KCF)

[tex]\frac{21}{10}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{30}[/tex]

Now we simplify the fraction.

[tex]\frac{21}{30}[/tex] → [tex]\frac{7}{10}[/tex]

[tex]\frac{7}{10}[/tex] barrels of almonds were used in each batch.

Graph algebra problem! Can anybody help me out as graphs are definitely not my strong suit.​

Answers

Answer:

f(2) = 5

Step-by-step explanation:

Definitions:

Input values = x-coordinates.

The input values are also known as the domain, which is the set of all real numbers. With the domain of a function, you could substitute any real number into a given function for x and produce a valid output.

Output values = y-coordinates

The range is the set of all real numbers that depend on the input values plugged into the function. Thus, the range represents the output (y-values) that corresponds to the input values used into the function. Function Notation:In the function notation f(x), f  is the function name, and x is your input variable.  Output values are also called functional values.  You could use any letter to represent a function name, such as g(x), w(x), etc.,.Explanations:

This particular question asks for you to identify the corresponding output (y-value) of the given input value, x = 2.  If you look at the graph, the x-coordinate, x = 2, corresponds to the y-coordinate of 5.

Therefore, f(2) = 5.  

Attached is an edited screenshot of the graph that you posted, where it shows where f(2) = 5 is located on the graph.

Answer:

  f(2) = 5

Step-by-step explanation:

The 2 in f(2) means you're looking for the value of the function when x=2.

Find the vertical line that is the 2nd one to the right of the y-axis. Follow it up until you reach the function line (at the top edge of the graph). The y-value there is the value of f(2). That is 5 squares above the x-axis, so ...

  f(2) = 5

How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.

Answers

Answer:

Hope this helps

Step-by-step explanation:

Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.

. An insurance company predicts that about an 80% chance that a person aged 20 will be alive at age 65 in a certain population. Suppose that 64 people aged 20 are selected at random. What is the probability that at least 48 of them will still be alive at age 65

Answers

Step-by-step explanation:

the probabilty for exactly 48 people surviving is

(64 over 48) × 0.8⁴⁸ × 0.2¹⁶

the possible combinations of 48 people out of 64 associated with the probability of 48 survivors and 16 deaths.

"at least" is then sum of the probabilities of exactly 48, 49, 50, 51, ... 64 people surviving.

that is a longer calculation of these 17 possibilities.

they go

(64 over 48) × 0.8⁴⁸ × 0.2¹⁶ = 0.0714...

(64 over 49) × 0.8⁴⁹ × 0.2¹⁵ = 0.0933...

(64 over 50) × 0.8⁵⁰ × 0.2¹⁴ = 0.1119...

...

(64 over 63) × 0.8⁶³ × 0.2¹ = 0.00001004...

(64 over 64) × 0.8⁶⁴ × 0.2⁰ = 0.0000006277...

the sum is the probabilty (that at least 48 out of the 64 are alive at 64) of 0.8746...

the maximum single probability (for an exact number of survivors) is as expected at exactly 51 and exactly 52 survivors with a probability of 0.1229... for each case.

of course, this is around the expectation value of

64×0.8 = 51.2 (out of the 64 it is expected that per average 51.2 people survive and reach age 64).

The product of a number is 221. sum of no. is 30. Find the number. . p​

Answers

Answer: 13 and 17

Would appreciate brainly <3

Herman saves 22% of his monthly paycheck so he can buy a new car. He earned $650 last month. How much money did he save for his car last month?

Answers

Answer:

He saved $143.00

Step-by-step explanation:

$650 x .22= 143

When Lucia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lucia lost approximately 100 balls after playing at Rolling Hills rr times and Meandering Meadows mm times, which of the following equation best represents the relationship between rr and mm?


When Lucia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lucia lost approximately 100 balls after playing at Rolling Hills rr times and Meandering Meadows mm times, which of the following equation best represents the relationship between rr and mm?


8r+12m=1008r+12m=100

12r+8m=10012r+8m=100

12r-8m=10012r−8m=100

8r-12m=1008r−12m=100

Answers

The relationship between the number of balls Lucia lost at the golf

courses can be expressed as an equation.

The equation that best represents the relationship between r and m is; 12·r + 8·m = 100

Reasons:

The given parameters are;

The number of balls Lucia loses at the Rolling Hills, r = 12 balls

The number of balls Lucia loses at the Meandering Meadows, m = 8 balls

The total number of balls Lucia lost after playin at Rolling Hills and Meandering Meadows = 100 balls

The relationship between r and m is therefore;

Number of balls lost at Rolling Hills + Number of balls lost at Meandering Meadows = 100

12 × r + 8 × m = 100

12·r + 8·m = 100

The equation that best represents the relationship between r and m is therefore; 12·r + 8·m = 100

Learn more mathematical word problems here:

https://brainly.com/question/20425634

Please find the value of each of the variables. Show all work.

Answers

Answer:

W=20 V=42 X=87

Step-by-step explanation:

all sides are equal meaning that two corners from across each other are equal so v is 42 and w 20 this also means x is 87 im not too sure about y

expression:
x + 20 + x + 20 + x + 20 + x + 20

Answers

Answer: if is simplify the answer is 4x+80

Step-by-step explanation:

75 is what percent of 150

Answers

Question:

75 is what percent of 150

Explanation:

Percentage Calculator:75 is what percent of 150=50

Answer:

50

Answer:

75 is 50 percent of 150.

Step-by-step explanation:

This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.

There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.

If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)

We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.

After that you will find that the equation shows the value x = 50. You have now found the value of x.

I hope this helps :)

Match to the other shape​

Answers

Answer:

wheres the picture?

Step-by-step explanation:

The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date

y = 5x + 120

what does the number 5 in the equation mean in this context?

A: There were 5 customers per night when the restaurant opened

B: The average number of costumers per night increased by 5 each month

C: The average number of customers per night decreased by 5 each month

D: The restaurant has been open for 5 months

Answers

The average amount of customers every month

5 is also the slope

What is 64 minutes (1 hour and 4 minutes) as mixed number? I'm pretty sure its something like this:
[tex]1 \frac{?}{?} [/tex]
but I don't know for sure

Answers

Answer: 1  4/60

Step-by-step explanation

64 is greater then 60 . 60 = 1 hour so  64 minutes = 1 whole 4 over 60

Answer:

1 1/15.

Step-by-step explanation:

1 4/60

= 1 1/15.

can someone plz help with this

Answers

Answer:

What is it we should help you with

Answer: A) 30

-hope this helps

15.
The number of calories in a 100-g serving of fruit varies by the type of fruit. A snack consisting of
on serving each of peach, apple, and banana contains 124 calories. A snack consisting of two
servings of peach and one serving of banana contains 160 calories. A snack consisting of one
serving of peach, 2 servings of apple, and two servings of banana contains 188 calories. How
many calories are in a 100-g serving of each type of fruit?

Answers

Answer:

A=24, B=40, P=60

Step-by-step explanation:

given:

P+A+B=124

2P+B=160

P+2A+2B=188

___________

P=188-2A-2B

P=124-A-B

188-2A-2B=124-A-B

188-A-B=124

188=124+A+B

A+B=64

___

P+A+B=124

P=60

___

2P+B=160

120+B=160

B=40

___

A+B=64

A=24

___

If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.

After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?

Answers

x = the whole pie.

well, Don ate (1/8)x, how much was it left?  [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]

well, so that's the remainder.

Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]

well, how much is it left?  [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]

well, there are 5 friends how much did each one get from the whole pie?

[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]

In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.

Answers

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

Please look at the picture.

Answers

n-q = -2-1 =-3
q-n = 1- - 2 = 1+2 =3
n= -2

therefore, least to greatest
n-q
n
q-n

eight times a number

Answers

Answer:

Equals the same number 8 times itself, this is the equation: 8X.

Step-by-step explanation:

Answer:

Look down.

Step-by-step explanation:

8x1=8

8x2=16

8x3=24

8x4=32

8x5=40

8x6=48

8x7=56

8x8=64

8x9=72

8x10=80

I dont know if this is what you were asking for but its all yours now!

Anyone to help me answer this question am giving the brainliest

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

As we know,

[tex] \boxed{\sin(a + b) = \sin(a) \cos(b) + \cos(a) \sin(b) }[/tex]

and

[tex] \boxed{\sin(a - b) = \sin(a) \cos(b) - \cos(a \sin(b) ) }[/tex]

now, let's add them as shown ~

[tex] \boxed{\sin(a + b) + \sin(a - b)} [/tex]

[tex] \boxed{ \sin(a) \cos(b) + \cos(a) \sin(b) + \sin(a) \cos(b) - \cos(a) \sin(b) }[/tex]

[tex] \boxed{2 \sin(a) \cos(b) }[/tex]

Can someone answer this correctly for my sister please​

Answers

Answer:

12) A ( 9, 11, 13, 15)

13) A ( o , a)

14) A  (b ∈ ( a, b, c, d, e, f))

15) C ( -364)

16) D (-1°C)

17) B (Negative)

18) C (26 feet)

19) B (7)

Step-by-step explanation:

12) All of these are odd numbers greater than 7

13) These are the only vowels in "MONDAY"

14) Point B cannot belong in a set that already has B

15) -9876 + 9512 = -364

16) 4 - 5 = -1

17) ex: -2 + (-2) = -4

18) -20 + 12 - 18 = -26

19) 3(5) + 4(-2) = 15 - 8 = 7

-Chetan K

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
PLEASEEEEE I BEG YOUUU 50 POINTS!!!!!!!~~~~~
Aubrey wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Aubrey could use a printer who charges a setup fee of $38 and $3 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $34 and $4 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?

Answers

Answer:

Copies cost for the first case = $ 12

Copies cost for the second case =$16

Number of Copies = 4

Step-by-step explanation:

Let the number of copies = N

. for the first case: total cost (T1) = 38 + 3N

. for the second case: total cost (T2) = 34 + 4N

Determine the ‘N’ when the cost is equivalent

So, 38 + 3N = 34 + 4N

38 – 34 = 4N – 3N

N = 4

Therefore, number of copies = 4

Copies cost for the first case = 3 × 4 = $12

Copies cost for the second case = 4 × 4 = $16

#1.

Set up fee=$38Cost per copy=$3

Expression

[tex]\sf\longmapsto 38+3x[/tex]

#2

Set up fee=$34Cost per copy=$4

Expression

[tex]\sf\longmapsto 34+4x[/tex]

Now

[tex]\sf\longmapsto 4x+34=3x+38[/tex]

[tex]\sf\longmapsto x=4[/tex]

There were 4copies

how do I solve this?

Answers

Its g is increasing

I guess you could just plug in 0, 1 and -1 and graph it.

Rico had $80. He spent 40% on snacks and 1/4 on travel and kept 1/2 of the remainder for the next day.​

Answers

Answer:

$4????

Step-by-step explanation:

I searched 40% of 80 and got 32, then 1/4 of 32, which was 8, then that in half was 4. I am not sure if it is right or if 8 was the final answer.

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please help answer these questions for art appreciation if you know any of them pleasei will mark brainliest also i put 30 What adversity did each woman face during her time as an absolute monarchElizabeth Ifrom society's expectations of women during her time? 23 x 5 + 6 x 50 -7 = ? Researchers estimate that the percentage of time spent in social interaction with peers increases from approximately ______ percent at 2 years of age to more than ______ percent in middle to late childhood. When a gas is collected over water, the partial pressure of water must be subtracted from the total pressure. If the total pressure was 761 mmHg and the pressure for water is 17.2 torr, what is the pressure due to the gas collected This is the backside from the other photo I need extra help with this HOW TO REPHRASE - "The bear could come back again and would destroy Brian's shelter." IN SIMPLER AND DIFFERENT WORDS???? * if u get this right, urrr brainliestttt which of the following are compounds (select all that apply)a) Br2b)NO2c) KBrd) Fe Yesterday, the temperature at noon was 11. 4. By midnight, the temperature had decreased by 15. 7 degrees. What was the temperature at midnight?. Two sides of a triangle measure 27 inches and 32 inches.Which could represent the length of the third side? Answer options:5 in59 in7 in62 in y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39. When reading The Narrative of the Life of Frederick Douglass, the reader can make conclusions based on known facts or evidence. This process is called The FAT method ______________.a. keeps information about the block where bit vector is stored. b. employs space maps to manage information about free blocks. c. does not store information about free blocks. d. incorporates free-block accounting into the allocation data structure. how did the officer feel about himself Find the surface area of this cuboid Why did many immigrants come to Louisiana during the 1800s? Check all that apply.They had been forced to leave Canada by Great Britain.They wanted to escape war and other political problems.They hoped to find new opportunities to make money.They need to escape poverty and a potato famine.They wanted to avoid persecution of their religions. Ill give 20 points to whoever can answer all of the questions. Shawna has added up all her current expenditures and revenues and developed a plan for what she wants to do with all of her cash flow. She has included in this plan some money to put away for her 401k based on what she will need in the future. What is missing from Shawna's actions to make sure this is a sound financial plan?Group of answer choicesShawna needs to make sure she revisits this plan on an ongoing basis.Shawna needs to invest. You can't have a sound financial plan without investing.Shawna needs to consult with a financial advisor to make sure she has not missed any details.Shawna should begin speculating on the market to potentially grow her extra income quickly. In the citric acid cycle, the enzyme succinate dehydrogenase catalyzes a reversible reaction using FAD/FADH2 as an oxidizing/reducing agent. Which of the following statements best explains how the redox component of this reaction contributes to the reaction's ability to be reversible under cellular conditions?A. FAD has no reduction potential when it is enzyme-bound. B. FAD can be reduced by the sequential addition of one hydrogen at a time. C. FAD/FADH2 is covalently bound to succinate dehydrogenase. D. The change in the biochemical standard reduction potential is small. just jive me the answers