A boy walks 5 ķm at vkm/hr. He then cycles 15 km at 2v km/hr. In terms of v, write down the time taken in hours
1. When walking
2. If the total time for journey is 2h 35min, find the boy's walking speed​

Answers

Answer 1

Answer:

The time when walking is 5/v hours

The walking speed is 4 26/31 km/hr

Step-by-step explanation:

Mathematically;

time = distance/speed

So the time taken when walking will be;

5/v

The time taken when cycling will be:

15/2v

The term 2h 35 minutes is same as 2 35/60

= 2 7/12

If we add the whole times together, we get 2 7/12

Thus;

5/v + 15/2v = 2 7/12

5/v + 15/2v = 31/12

(10 + 15)/2v = 31/12

25/2v = 31/12

12 * 25 = 2v * 31

31v = 6 * 25

v = 150/31

= 4 26/31


Related Questions

If x = 4 and y = -2, the value of 3 xy?​

Answers

Answer:

-24

Step-by-step explanation:

Answer: -24

Step-by-step explanation:

3xy

3(4)(-2)

12(-2)

-24

What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?

Answers

Answer:

the Compound interest is £1,543.90

Step-by-step explanation:

The computation of the compound interest is shown below:

As we know that

Compound interest is

Amount = Principal × (1 + rate of interest)^number of years

= £1,200 × (1 + 0.032)^8

= £1,200 × 1.286582318

=  £1,543.90

hence, the Compound interest is £1,543.90

We simply applied the above formula so that the correct value could come

And, the same is to be considered

I need help!! ASAP!!

Answers

Answer:your answer is c

Step-by-step explanation:if you want to be friends we can just friend me

The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?

A.
60%

B.
12.5%

C.
10%

D.
7.5%

Answers

Answer:

60%

Step-by-step explanation:

Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100

$19.99 - 12.5

-------------------   times 100

12.5

Follow PEMDAS

7.49 / 12.5 = 0.5592 (100) = 59.92

Round to the nearest whole number. So about 60%

identify the center

Answers

2nd center is the answer

14. Susan went on a bus at 5:07 pm and got off at 6:32 pm. How long was 1 point
her journey?*
O 60 minutes
O 85 minutes
O 90 minutes
O 105 minutes​

Answers

Answer:

susan took a detour with a stranger she told me so

HELP I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!! THIS IS TIME PLZ HELP!!!
(look at the screenshot)
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east and 4 blocks north to a coffee shop. Then she walks 6 blocks west and 5 blocks north to a museum. Where is the museum in relation to her​ hotel? SHOW YOUR WORK!!!

The museum is __ blocks(s) __ (east or west) and __ block(s) (north or south) of her hotel.

Answers

Answer:

2 blocks west and 5 steps north

Step-by-step explanation:

4 blocks west. (6 west minus 2 east)

9 blocks north. (4 north plus another 5 north)

Grab a piece of graph paper to get a visual

On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.

Answers

Answer:

Step-by-step explanation:

horizontal = x-axis

vertical = y-axis

Hope this helps!

Answer:

Horizontal: X-axis; Vertical: Y-axis

Step-by-step explanation:

PLEASE HELP! BRAINLIEST IF CORRECT!
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes left in the game. If each half is 45 minutes long, how many minutes did Evelyn play?

A. the length of a half
B. the amount of time Evelyn played
C. the number of players on a team

Answers

The answer is A. The length of a half

Step-by-step explanation:

B she played 52 minutes long

C 11 players

A length if a half 15

Find the two square roots of 144.

Answers

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.  

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.  

Two ways to look at it.  

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

Answer:

12 and -12

Step-by-step explanation:

144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.

12 x 12 = 144

-12 x -12 = 144 (two negatives equal a positive)

ten subtracted from a number if the difference is 30 what was the orginal number​

Answers

X-10=30

X=30+10

X= 40

So the original number was 40 and you can prove it by subtracting 10 so 40-10= 30

If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?

Answers

Answer: 1/5525

Explanation:

There are 4 queen in a standard deck.

52 cards in total.

The probability of picking a queen is 4/52.

The probability of picking a queen again is 3/51.

The probability of picking another queen is 2/50

P = 4/52 x 3/51 x 2/50
P = 1/13 x 1/17 x 1/25
P = 1/5525

Answer:

0.01809955% or about 0.018%

Step-by-step explanation:

You do the multiplication of 4/52 by 3/51 by 2/50

At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?​

Answers

Answer:

30 degrees

Step-by-step explanation:

If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30

Please brainlist!

what is the answer to 36 divided by 48

Answers

Answer:

0.75

Step-by-step explanation:

Answer: 36 = dividend

48 = divisor or if ur doing other way 0.75

Step-by-step explanation:

What is the value of x?
Enter your answer in the box

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

A circle with area 64 cm2 has a
sector with a 45-degree
central angle.
The area of the sector is
cm2

Answers

9514 1404 393

Answer:

  8 cm²

Step-by-step explanation:

A 45° sector is (45°)/(360°) = 1/8 of the circle, so its area is ...

  (1/8)(64 cm²) = 8 cm² . . . . area of sector

Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answers

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]

[tex]Sin (53^0) = \dfrac{4}{x}[/tex]

Making x the subject of the formula:

[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]

[tex]x = \dfrac{4}{0.7986}[/tex]

[tex]x \simeq 5[/tex]

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]

[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]

where; x = 5

[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

what is 25% more than 6 feet

Answers

Answer:

7.5 I guess?

Step-by-step explanation:

??

Step-by-step explanation:

l dont understand this can you explain

Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.

Answers

Answer:

2,3,4 are correett

Step-by-step explanation:

1,5,6 are wroongg

Answer: 2 3 4 are your answers

5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?

Answers

Answer:

North Route is 20 miles, and South Route is 25 miles.

Step-by-step explanation:

Let the length of the North route be represented by x and that of the South route be represented by y.

On Monday,

8x + 10y = 410

On Tuesday,

15x + 11y = 575

So that,

8x + 10y = 410 .............. 1

15x + 11y = 575 ......... 2

Using substitution method, from equation 1;

x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3

Substitute the expression for x into equation 2,

15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575

multiply through by 8,

6150 - 150y + 88y = 4600

6150 - 62y = 4600

6150 - 4600 = 62y

1550 = 62y

divide through by 62 to have,

y = 25

Substitute the value of y in equation 3

x = [tex]\frac{410 - 10y}{8}[/tex]

  = [tex]\frac{410 - 10(25)}{8}[/tex]

  = 20

x = 20

Thus, North Route is 20 miles, and South Route is 25 miles.

which expression is equal to -3(4x - 2) - 2x?

Answers

Answer:

-14x + 6

Step-by-step explanation:

-12x + 6 - 2x

-14x + 6

If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?

Answers

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

What is Quadratic Equation?

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

To know more about Quadratic Equation click here

https://brainly.com/question/2263981

#SPJ2

Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

1. after 7 hours, you watch 1 movie

2. after 0 hours, youve watched 0 movies

3. after 14 hours, you have watched 2 movies

please help me :(



Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?

Answers

Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Answers

Sorry the solution cut off but it’s y=3x-10

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

Solve the equation by completing the square.

2x^2+20x-63=3

Answers

The answer is that you can use your calculator in multiple things because it equals like four

Help please due in an 1 hour!!

Answers

Answer:

275

Step-by-step explanation:

1375-550/5-2

Answer:

275 per minute

Step-by-step explanation:

550/2=275

1375/5=275

2200/8=275

3025/11=275

therefore it is 275 ft. per minute

NEED HELP ASAP!!!!!!

Answers

Answer:

x=57

Step-by-step explanation:

63+60= 123

A triangle is 180 degrees

180-123= 57

x=57

Answer:

pretty sure x = 57

Step-by-step explanation:

60 + 63 = 123

180 - 123 = 57

Charles charges 4 an our to baby sit he also adds an extra 10 dollars onto the total for families with more than 3 children. How much will charles charge to baby sit 4 children for 4 hourss

Answers

14? i’m wrong but what everyone

Answer:

i beleve 26 or 48

good luck

find the solution to following system using substitution or elimination

y = -x + 10

y = 7x + 2

A. (1,9)

B. ( 3/2 , 17/2)

C. (9,65)

D. (1, -1/7)

Answers

Answer:

the answer is (1,9)

Step-by-step explanation:

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