Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.

Answers

Answer 1

Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]


Related Questions

What is the meaning of the point with an x-coordinate of 2?

Answers

Answer:

In 2 seconds, the space station travels 10 miles.

Step-by-step explanation:

Well, if the x axis represents time in seconds and the y axis represents distance in miles, then when your x value is 2, your y value is 10.

Geometry- remember what we know about verticale angles and solve for X. Then tell me the measure of angle A.

Answers

Answer:

m<A = 32°

Step-by-step explanation:

When angles are vertical, it means they are equal to each other:

m<A = m<C

4x - 8 = 2x + 12

4x - 2x = 12 + 8

2x = 20

x = 20/2

x = 10

Solve for A:

4x - 8

4(10) - 8

40 - 8

32

Billy read an average of 2.5 magazines each week during the year.



Write an equation that represents the amount of magazines that he read (y) per week (x).

Answers

Answer: y=2.5x+

Step-by-step explanation:

I dont know the rest because the question is worded wrong

The equation that represents the number of magazines that he read (y) per week (x) will be y = 2.5x.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Billy read an average of 2.5 magazines each week during the year.

The equation that represents the number of magazines that he read (y) per week (x) will be

y = 2.5x

The equation that represents the number of magazines that he read (y) per week (x) will be y = 2.5x.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ6

Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make.

A: 10 pillows PLZ HELP ME MARK BARAINLIEST AND 150 POINTS
B: 6 pillows
C: 5 pillows
D: 3 pillows

Answers

Answer:  It A. 6 ÷ 3/5 is 10

Step-by-step explanation:

I wasnt sure how to do number line i just did it in my head but hope this helps!

Answer: 10

Step-by-step explanation:

3/5 ÷ 6/1= 3/30

to get 3/30 you do cross multiplication

30÷3=10

I hope this helps you let me know if it did!!

Their pet fish knew it wasn't right. He knew the Cat shouldn't do those things. The pet fish just knew there would be trouble. There was fish food all over the floor. They would have to buy more! Fish food costs $0.46. If Conrad gave the clerk $1, how much change would he get?

Answers

Answer:

0.54

Step-by-step explanation:

1-0.46 is 0.54

Yes.

The circumference of a circle is defined by the formula C = 2πr. What
formula should Harry use to find the radius if he knows the circumference?

Answers

Answer:

r = c/2π

Step-by-step explanation

2πr = C

move 2π to the other side it will become division as 2π is multiplying r

r = C/2π

In 2016, the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?

Answers

Answer:

1320

Step-by-step explanation:

because half of 2640 is 1320

Answer: since two onces is 2,640 to find one once it would be 2,640 divide by 2 find the price of once once

Step-by-step explanation: 2,640/2 to find 1 once it would 1,320/1 or just 1320

compro una bicicleta y pago en tres cuotas. En el primer tramo pago 3/10 del total, en el segundo pago 4/5 del resto, y en el tercero solo tengo que pagar 21 $. ¿Cuánto cuesta la bicicleta?

Answers

I think the answer would be a

Please help with this question

Answers

Answer:

24

Step-by-step explanation:

To solve, subtract:

111-87= 24

Hope this helps!

Divide 71/9 2/34

A. 21/4
B. 23/4
C. 41/4
D. 413/16


HELLPPPPPP ​

Answers

Answer:

A 5.25, B 5.75, C 10.25, D 25.8125

Step-by-step explanation:

answerrrrrrrrrrrrr plzzzzzzzzzzzzz

Answers

Answer:

65°

Step-by-step explanation:

2x= 130° (vertically opposite angles)

x= 130/2

x= 65°

Answer:

x = 65

Step-by-step explanation:

factorise B square minus 25 ​

Answers

Answer: (b+5)(b-5)

Step-by-step explanation:

both b^2 and 25 are square numbers, so square root both of them to give b and 5, then put into brackets with a + and -

What is 278 minus 149

Answers

Answer:

129

Step-by-step explanation:

278 - 149 = 129

Answer:

the answer is 129

Step-by-step explanation:

278-149=129

Solve this problem using your knowledge. Problem #20.

Answers

Answer:

I did this

Step-by-step explanation:

What is the range of the function?

Answers

Answer:

the is c because the answer

The correct answer is B: {2, 6, 8}.

The set of first components (x-coordinates) in the ordered pairs is the domain of the relation: {-1, 3, 5}.

The set of second components (y-coordinates) is the range of the relation. The range of the given problem is the set of second components (on the right): {2, 6, 8}.

Therefore, the correct value is B: {2, 6, 8}.

Please mark my answers as the Brainliest if you find my explanations helpful :)

What is the average rate of change, from
X=48 to X=-1, for the following function
-2?





Answers

Answer:

-2 i think

Step-by-step explanation:

Which of the following is NOT a function?

Answers

Answer:

a x=-3

Step-by-step explanation:

The equation x = 3 represents a vertical line and not a mapping from values of x to values of y. For one thing, it fails the vertical line test for functions at the value x = 3.

What property of addition allow us to change 2+4x into
4x + 2 between the first and second lines?

Answers

Communitive property

THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.

Answers

Answer:D

total 450 marks 90 of which are maths

90/450= 0.2

0.2=20%

20% is D

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

90/450=2/10

Help please! Will give brainlist for correct answer with steps. If you’re a troll I will report!

Answers

Answer:

x²-10x+34=0. here u go I'm 12

somebody help me please , thank you

Answers

Answer:

Step-by-step explanation:

2500 +625+625+2500=6250

There are 6250 square feet inches total

625 square ft

625      = 1/10    {proportion}

6250

6000x 1/10

= 600

apportioned cost = {$600}

Please help I really need it!

Answers

The rate of change is 2/3

rise = 2

run = 3

rise/over = 2/3

Answer: 2/3 is gonna be your answer. Trust me I have done this exact

g o o g l e form before!

Step-by-step explanation:

ok hurry please!!!!!!

Answers

Answer:

42-(-26)

Step-by-step explanation:

you're just subtracting a negative and positive

The answer is 42-(-26)

a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?​

Answers

Answer:

5120 tiles.

Step-by-step explanation:

Do one thing.

Find out the area of the rectangular hall.

Find out the area of the marble slab.

Remember, the units are to be made same.

Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.

Calculations-

Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.

Area of one marble tile = 25 x 15 = 375 sq. cm.

Now you divide the numbers and get 5120 tiles.

Help me please i need help :( will name brainliest if the answer is correct :)

Answers

Answer:

What's the question?

Step-by-step explanation:

Solve using quadratic equation (a-2)2 =8

Answers

Answer:

a=6

Step-by-step explanation:

(a-2) x 2 =8

remove parentheses

2a-4=8

move constant to the right

2a=8+4

calculate

2a=12

divide both sides

a=6

b)Using the formula from part a, calculate the retail price for each quantity range.


( Hope this helps guys )


ANSWER:

$45.00

$41.40

$37.80

$34.20

$30.60


EXPLANATION:


Ok so the first box is 25.00 your going to multiply .80 whatever your awnser is for that which is 20 then you take that and add the 25 from the box and get 45 and that’s your awnser and just repeat the process for the other boxes .

Answers

Answer:

man, thanks alot really helped me I was struggling with this one. Couldnt find any answers

Step-by-step explanation:

Write the expression as a single logarithm.

log₄ 2x - log₄ 6y

Answers

Answer:

[tex]log_{4}(\frac{2x}{6y})[/tex]

Step-by-step explanation:

According to the Quotient Rule (Logarithmic Property):

[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]

Therefore, you could combine the logarithmic expressions as:

[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]

Optional:

If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:

[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]

3.96 divide by 1.87 can someone help me divide this two number please and please hurry up because

Answers

Answer:

2.11764705

Step-by-step explanation:

Brainliest?

A garden is in the shape of a trapezium whose parallel sides are 40m and 22m and the perpendicular distance between them is 12m. Find the area of the garden

Answers

Answer:

A = 372 m²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₁ the parallel bases

Here h = 12, b₁ = 40 and b₂ = 22 , then

A = [tex]\frac{1}{2}[/tex] × 12 × (40 + 22) = 6 × 62 = 372 m²

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