Farhan cycles the first part of a 150-km journey at an average speed of 35km/h and walks the
remaining distance at an average speed of 5 km/h. if he takes 4.5 hours for his entire journey, find the
distance by he cycles.

Answers

Answer 1

Answer:

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

5 x 4.5 = 22.5 (km)

150 – 22.5 = 127.5 (km)

35 – 5 = 30 (km/h)

127.5/30 = 4.25 (h)

4.25 x 35 = 148.75 (km)

Alternatively,

Let x be the distance that he cycles.

x/35 + (150 – x)/5 = 4.5

x + 1050 – 7x = 157.5

6x = 892.5

x = 148.75

Ans : 148.75km.


Related Questions

-25 - 6k + 7=6(1+ 3k)

Solve the equation for The Variable

Answers

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

k = −1

Answer:

-1

Step-by-step explanation:

-25+7 -6=6k+18k

-24=24k

k=-1

what would he have gotten

Answers

Answer

he would have gotten a marry Christmas

Step-by-step explanation:

also hope you have a good day

Consider the matrices. Help with 3 math questions.

Answers

Answer:

[tex] A-B = \begin {bmatrix} - 7 & 7 \\ - 10 & -2 \\ 10 & - 9 \end{bmatrix} \\[/tex]

[tex] PQ = \begin {bmatrix} -9 & -18\\ -27 & 0\\-45 & -36\\9 & 54 \end{bmatrix}\\[/tex]

Step-by-step explanation:

[tex] A= \begin {bmatrix} - 2 & 3\\ - 7 & 4\\9 & - 1 \end{bmatrix} \: and \: B \begin {bmatrix} 5 & - 4\\ 3 & 6\\-1 & - 8\end{bmatrix} \\\\

A-B = \begin {bmatrix} - 2 & 3\\ - 7 & 4\\9 & - 1 \end{bmatrix} - \begin {bmatrix} 5 & - 4\\ 3 & 6\\-1 & - 8\end{bmatrix} \\\\

A-B = \begin {bmatrix} - 2 - 5 & 3-(-4)\\ - 7-3 & 4-6 \\9-(-1) & - 1-8 \end{bmatrix} \\\\

A-B = \begin {bmatrix} - 2 - 5 & 3+4\\ - 7-3 & 4-6 \\9+1 & - 1-8 \end{bmatrix} \\\\

A-B = \begin {bmatrix} - 7 & 7 \\ - 10 & -2 \\ 10 & - 9 \end{bmatrix} \\\\[/tex]

[tex] P= \begin {bmatrix} 1 & 2\\ 3 & 0\\5 & 4\\-1 & - 6 \end{bmatrix} \: and \: Q= \begin {bmatrix} - 1\\ - 8\end{bmatrix} \\\\

PQ = \begin {bmatrix} 1 & 2\\ 3 & 0\\5 & 4\\-1 & - 6 \end{bmatrix} \begin {bmatrix} - 1\\ - 8\end{bmatrix} \\\\

PQ = \begin {bmatrix} 1(-1)+1(-8) & 2(-1)+2(-8)\\ 3(-1)+3(-8) & 0(-1)+0(-8)\\5(-1)+5(-8) & 4(-1)+4(-8)\\-1(-1)+(-1)(-8) & - 6(-1)+(-6)(-8) \end{bmatrix}\\\\

PQ = \begin {bmatrix} - 1-8 & - 2-16\\ - 3-24 & 0+0\\-5-40 & - 4-32\\1+8 & 6+48 \end{bmatrix}\\\\

PQ = \begin {bmatrix} -9 & -18\\ -27 & 0\\-45 & -36\\9 & 54 \end{bmatrix}\\\\[/tex]

[tex] S= \begin{bmatrix} 3 & 4\\-1 & - 2\end{bmatrix}\: and \: T =\begin{bmatrix} - 2& 0\\-4 & 5\end{bmatrix}\\\\

ST= \begin{bmatrix} 3 & 4\\-1 & - 2\end{bmatrix} \begin{bmatrix} - 2& 0\\-4 & 5\end{bmatrix}\\\\

ST= \begin{bmatrix} 3(-2)+4(-4) & 3(0)+4(5)\\-1 (-2)+(-2)(-4)& - 1(0)+(-2)5\end{bmatrix}\\\\

ST= \begin{bmatrix} -6-16 & 0+20\\2+8 & 0 - 10\end{bmatrix}\\\\

ST= \begin{bmatrix} -22 & 20\\10 & - 10\end{bmatrix}\\[/tex]

got stuck on this problem plz help​

Answers

Answer:

the answer is 5'2. hope this helps

Add all of them together...

all of them combined are 186 inches.

The next step is to divide it by however many things your comparing, in this case 3.

186/3 is 62.

YOUR ANSWER IS 62.

pls mark brainliest

what is 240 + 90 equal

Answers

Answer:

330

Step-by-step explanation:

MATHZ

330. do you have a calculator lol

ASAP ILL GIVE BRAINLIEST

Answers

It is the first one cuz it starts at one and the slope is 3/5

Shara collected two different data sets and label them dataset S and data said T.

Answers

Answer:

What are you asking?

Step-by-step explanation:

in which number is the digit 9 one-tenth as much than it is in the number 75,974

Answers

Answer:

In the number 36,521 the digit 5 is in one position lower than it is in the provided number, which means it's value is 1/10th of the original digit.

Step-by-step explanation:

For which of the following compound inequalities is there no solution?

Select one:
a. 5m>15 and -6m =12 and m-6 =22
d. 3m+12>33 and -4m>=32

Answers

Answer:

I THINK A

Step-by-step explanation:

Write this rate in its simplest form: $1200 in 50 days.

Answers

Answer:

24/1

Step-by-step explanation:

Divide 1200/50 = 24/1

Answer:

$24:1 day

Step-by-step explanation:

For parties of six or more, a restaurant adds a 20% gratuity (or tip). Ifa
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.

Answers

Answer:

$247.37

Step-by-step explanation:

The total dinner bill with a tip for the large party is $177.90.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.

Gratuity = bill x 0.2

Gratuity = 148.25 x 0.2

Apply the multiplication operation, and we get

Gratuity = 29.65

To find the total bill, we add the gratuity to the original bill.

Total bill = bill + gratuity

Total bill = 148.25 + 29.65

Apply the addition operation, and we get

Total bill = $177.90

Hence, the total dinner bill with a tip for the large party is $177.90.

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True or false? Is (4,1) a solution to 3x - 2y < 10 ?

Answers

Answer:

I think it is false. sorry if im wrong!

Step-by-step explanation:

if f(x)=2^x +1, then f(3)

Answers

Answer:

9

Step-by-step explanation:

f(x)=2^x +1, then f(3)

Replace the x with 3

f(3)=2^3 +1

(2*2*2)+1 = f(3)

9= f(3)

HHHHHHHHHHHHEEEEEEELLLLLLLPPPPPPPPPPPP

Answers

Answer:

A) 20

Step-by-step explanation:

20 for is the answer. Do the Pythagorean theorem. Work is shown below. Hope this helps

Kevin and Kenneth each earn $135 a month as a salary. They earn a commission for each sale they make, and the ratio of Kevin and Kenneth’s commission is 3:4. If they sell products worth $610 each in March, and Kevin earns a 12% commission, how much money did each of them earn?

Answers

Answer:

I don't know but this might be helpful add and multiply the numbers they give you and divide by 12%

Step-by-step explanation:

The amount of money Kevin earn = $ 232.60

The amount of money Kenneth earn = $ 207.12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of money Kevin earn = A

Let the amount of money Kenneth earn = B

Salary of Kevin = $ 135

Salary of Kenneth = $ 135

Now , the equation will be

Ratio of Kevin's and Kenneth's commission be = a : b

The value of a : b = 3 : 4

Now , Kevin earns 12 percentage commission

So , the value of a = 12 %

So , the commission earned by Kenneth b = 12 x ( 4 / 3 )

The commission earned by Kenneth b = 16 %

Now , the total amount of products sold by Kevin and Kenneth = $ 610 each

So , the commission of Kevin a = ( 12/100 ) x 610

The commission of Kevin a = $ 73.20

And , the total earning of Kevin = amount of Kevin's salary  + commission of Kevin a

Substituting the values in the equation , we get

The total earning of Kevin A = 135 + 73.2

The total earning of Kevin A = 207.12

Now ,

The commission earned by Kenneth b = ( 16/100 ) x 610

The commission earned by Kenneth b = $ 97.60

The total earning of Kenneth B = amount of Kenneth's salary  + commission of Kenneth b

Substituting the values in the equation , we get

The total earning of Kenneth B = 135 + 97.60

The total earning of Kenneth B = $ 232.60

Therefore , the value of A is $ 207.12 and the value of B is $ 232.60

Hence ,

The amount of money Kevin earn = $ 232.60

The amount of money Kenneth earn = $ 207.12

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In a local election, four nominees each received a portion of the votes, as shown on the table.

Nominees / Voting Portion
Mr. Douglas / 9/50
Mrs. Maury / 26%
Mr. Hill / 7/20
Mrs. Jackson / 0.21

Put the nominees in order of how many votes they received, beginning with the winner.
1 Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr Douglas.2 Mrs. Jackson, Mrs. Maury, Mr. Douglas, Mr. Hill.
3 Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas.
4 Mr Hill, Mrs. Jackson, Mrs. Maury, Mr. Douglas.​

Answers

The order is  Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas.

What is ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Given, table shows the portion of votes each candidate get,

Nominees             Voting Portion

Mr. Douglas             9/50

Mrs. Maury                26%

Mr. Hill                       7/20

Mrs. Jackson              0.21

converting the votes in equal ratio,

Mr. Douglas  =   9/50 votes

multiply and divide by 2

Mr. Douglas  =   9 x2/50 x 2 = 18/100

Mrs. Maury =  26% = 26/100

Mr. Hill = 7/20

multiply and divide by 5

Mr. Hill = 7 x 5/20 x 5 = 35/100

Mrs. Jackson  = 0.21 = 21/100

Mr. Hill is winner with most number of votes.

Hence the order beginning with winner is Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas.

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Question 1
What is the equation in slope-intercept form of the line that passes through the points (-2.5, -6) & (7. 13)?
Answers
A y = x + 2
B y = 2x - 5
С y = 2x - 1
D y = x - 2

Answers

I think it is D must be tbh or I just don’t know

find the vertex of the parabola 6x^2-2

Answers

Answer:

-2

Step-by-step explana

CAN SOMEONE HELP ME WITH THIS?

Answers

Answer:

population

Step-by-step explanation:

What is the average of Jim's bowling games if he bowled a 195, 202 and 116?
513
171
202
128.25

Answers

Answer:

183

Step-by-step explanation:

Fernando ordered a set of blue and brown pins. He received 55 pins, and 40% of them were blue. How many blue pins did Fernando receive?​

Answers

Answer:

22 were blue

Step-by-step explanation:

55 x .4 = 22

Step-by-step explanation:

10%=5.5

40%=5.5 times 4= 22pins

PLEASSEE HELP! WILL GIVE BRAINLIEST IF CORRECT

Please explain how you got your answer


What's 147845 * 144454?

Answers

9514 1404 393

Answer:

  21,356,801,630

Step-by-step explanation:

The product can be found using any calculator that will display 11 digits or more.

Of course, it can also be found by long multiplication (second attachment). Many students learn this method in 5th grade.

Answer:

21,356,801,630

Step-by-step explanation:

just use a calculator

what is qs 2unist 5units 17 units 33 units ​

Answers

My guess is 57units because I don’t know if you add them all together but that’s what I did unless you subtract it it would be 9 :)

Answer these two and I'll make as brainest.

Answers

Answer:

25x + 5 equals 130, x=5,   (2) x= 6  10x=60 degrees

Step-by-step explanation:

How do you write x+y=9 in y=mx+b?

Answers

y=-x+9 is the correct answer

Answer:

Step-by-step explanation:

all you do is move everything to one side except for y

y = 9 - x

to write in mx + b form you just switch the order

y = -x + 9

(m is -1 but you don’t need to write the 1)

A data set can have more than one median? True False​

Answers

Answer:

False

Step-by-step explanation:

The given statement "A data set can have more than one median" is False.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median; It represents the middle value of the given data when arranged in a particular order.

Mode; It is that number that appears most frequently in the given set of data.

Given the statement as; A data set can have more than one median.

If the value changed is not the middle value (if number of observations are odd) or is not changing the average of two mid values (if number of observations are even), then the median won't change as it does not care about the value of the data unless its about the mid value of the sorted data or average of mid values.

Since the median and mean can only have one value for a given data set. The mode can have more than one value

The given statement is False.

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5x+11=7x+8 for x
please help me asap​

Answers

Answer:

x = 3/2

Step-by-step explanation:

Step 1:

5x + 11 = 7x + 8          Equation

Step 2:

11 = 2x + 8        Subtract 5x on both sides

Step 3:

3 = 2x       Subtract 8 on both sides

Answer:

x = 3/2

Hope This Helps :)

Answer: x=1.5

Explanation:

5x+11=7x+8
Subtract 5x from both sides
11=2x+8
Subtract 8 from both sides
3=2x
Divide 3 by 2
1.5=x

Rewrite the fraction 30/75 in lowest terms

Answers

Answer:

2/5

Step-by-step explanation:

please mark brainliest :D

Answer:

2/5 in lowest terms possible

Step-by-step explanation:

WILL GIVE brainliest IF UR SMART ENOUGH TO ANSWER plz help smart ppl ily

Answers

Answer: Ok, i'm pretty smart but it seems you didn't write your question down... So, in the comments you can write your question and i will try to answer it.. hope this helps...

Stay safe and have a great weekend!!! :D

Answer: 3x-8= -2

Step-by-step explanation:3x=6  6-8= -2

The map shows the territories held by the United States in 1810.




Why was the striped area in dispute at the time?


A)It was also claimed by the country of Spain.

B)The total population for that area was unknown.

C)Most of the people there spoke French, not English.

D)It was mostly an unexplored area that was not inhabited.

Answers

Answer:

A) It wasalso claimed by the country of Spain.

Step-by-step explanation:

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