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

Determine whether the function is linear or nonlinear? Help

Answers

Answer:

linear

Step-by-step explanation:

If it is linear, for each unit increase in x, there should be a constant change in y.

x=1, y=5

in x=2, we expect y to increase by 5 units, so 5+5 = 10, which is right.

x=3, expect 5 units increase, and we do see that as 10+5 = 15.

x=4, expect 5 unit increase, and 15+5 =20 so we see that

this is linear function, if nonlinear then we would see different changes of y for each unit increase of x.

please give thanks by clicking the heart button :)

Looks linear to me they are all a ratio of 1/5

i am failing geometry and was wondering if my answers were right im really trying to get my grade up can someone please help thank you sm

Answers

Answer:

1)b

2)d)80/360×36π≈25.12cm²

4)d)32.5

5)c)135°

6)d)4π/3

Step-by-step explanation:

1) because as we know

Circle equation

=(x-a)²+(y-b)²=r²

=(x-5)²+(y+1)²=36 (given)

=(x-(+5))²+(y-(-1))²=6²

So

C(5,-1)and r=6

2)as we know area of sector

=Theta/360×πr²

=80/360×6²π

80/360×36×3.14

80/10×3.14

=25.12

4)to figure out 4 we have to separate the shape into 2 parts

First  semi-circul

Second rectangle

So the parameter of the shape

=Circumference of semi-circul + the parameter of the rectangle

=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)

=[15.7+26.8]-10

=32.5

5)3π/4

3×180/4

540/4

135

6)240°

240°×π/180°

4π/3

help pllsss :p and merry christmas or happy Hanukkah

Answers

Answer:

104

Step-by-step explanation:

156 divided by 6. 156-26=130. now 20 percent of 130 =26. 130-26 = 104

Multiply:
x (x^2+2x+4) and -2 (x^2+2x+4)

Combine like terms.

Final Answer:

Answers

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

Helpppppppppppppphxhxhxhxhx

Answers

Answer:

C  [tex]\frac{48}{70}[/tex]

Step-by-step explanation:

Option C - [tex]\frac{48}{70}[/tex] is incorrect because when multiplying the numerator and denominator of the fraction [tex]\frac{7}{10}[/tex] by 7, you’re suppose to get [tex]\frac{49}{70}[/tex].

Find the value of x.

Answers

You have to combine your liked terms first

The Micro Devices Company earned 3,632,859,678 dollars this year. 2,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?

Answers

Answer:

$1,173,226,826  

Step-by-step explanation:

The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:

increase in earnings=this year's earnings-last year's earnings

this year's earnings=$3,632,859,678

last year's earnings=$2,459,632,852

increase in earnings=$3,632,859,678-$2,459,632,852

increase in earnings=$ 1,173,226,826  

-11/12 - (-5/12) (I tried to answer it, but when I tried to divide I just got another improper fraction, please help)

Answers

Answer:

-11/12 + 5/12

-11+5/12

-6/12

-1/2

Answer:

-6/12

Step-by-step explanation:

1. Change the signs. Two negatives make a positive.

     -11/12 + 5/12

2. Add them together.

     -6/12

3. Simplify

-1/2

2
What is (2 + 0.4 + 0.6)= ?

Answers

Answer:

What is (2+0.4+0.6)

First we have to arrange the numbers in sequence...

[tex]2.0 \: + \: 0.4 \: + 0.6 \\ 3.0 \: or \: 3[/tex]

Here I have taken this 0 after the point ..as the rest of the digit are in tenths place or after the point...

The answer is 3.

We will not calculate the 0 as it does not have any value.

Ans) 3

Hope this helps you...

Find the midpoint of the hypotenuse.

Answers

12
Bend be be K’s or if if so

Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20.?

Answers

Step-by-step explanation:

Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.

The total no of cabinets are 100

Equation will be : x+y = 110

We can write it as : y = 110-x ...(1)

Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.

Equation will be : y = 2x + 20 ...(2)

Put the value of y from equation (1) into equation (2).

110-x = 2x + 20

Combining like terms,

110-20 = 2x+x

90 = 3x

x = 30

Put the value of x in equation (1) :

y = 110-30

y = 80

Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.

what do you do with points

Answers

Answer: i think you need them to ask questions

Step-by-step explanation: whenever you ask a question it shows your questions and how many you need, so you have to answer questions to get some.

You want to take 10 lessons at a swim club. You can pay a membership fee of $20 plus a fee per lesson. You can also decide no to pay a membership fee. In that case, the fee per lesson is $3 more. Is there any lesson fee for which these two plans cost the same?

Answers

Answer:

x = 1

Step-by-step explanation:

Plan A: 20 + 10x

Where, x = fee per lesson

Plan B: $3 × 10 lessons = $30

Equate plan A and plan B

Plan A = Plan B

20 + 10x = 30

10x = 30 - 20

10x = 10

x = 10/10

= 1

x = 1

Alarger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. 4x+2 y 2x+8 What is the value of the smaller number in the mathematical problem?​

Answers

Answer:

the value of the smallest number is 3

Step-by-step explanation:

The computation of the value of the smaller number is shown below:

Given that

y = 4x + 2

y = 2x + 8

Now equate these two equations

4x + 2 = 2x + 8

4x - 2x = 8 - 2

2x = 6

x = 3

Hence, the value of the smallest number is 3

The same is to be considered

Answer:

The value number is 3

Step-by-step explanation:

can someone help me. Arithmetic Sequences
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you’re going to only eat 5 pieces per day.

What is the common difference?

Answers

Answer:

-5

Step-by-step explanation:

when you eat 5 pieces of candy per day then the sequence will be

125, 120, 115, 110, 105......

And Then, the common difference will be -5

If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:

A. 1/2
B.-1/2
C. 2
D. -2

Answers

The answer should be B
Slope: (y2-y1)/(x2-x1)
(4+2)/(3-0) = 6/3 = 2
The solution is C. 2

HELP ASAP!!!
If f(x) = -4x + 1, find f(2).
Enter the numerical value only

Answers

Answer:

-7

Step-by-step explanation:

-4(2)=-8

-8+1=-7........


What is the slope of the line that passes through the points (-2,3) and (-14, -5)?
Write your answer in simplest form

Answers

Slope = 2/3 (positive 2/3)
You use the formula Y2-Y1/X2-X1 in order to get the slope

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.
A: 1 hour 3 minutes
B: 1 hour 16 minutes
C: 1 hour 35 minutes
D: 2 hours 30 minutes

Answers

C. 1 hour and 35 minutes

If bc+ad=b solve for a (please show work)

Answers

Answer:

a = [tex]\frac{b-bc}{d}[/tex]

Step-by-step explanation:

Given

bc + ad = b ( subtract bc from both sides )

ad = b - bc ( isolate a by dividing both sides by d )

a = [tex]\frac{b-bc}{d}[/tex]

A boy is shopping at a sports store. He has $11 with which he wants to buy a t-shirt and some tennis
balls. The cost of the t-shirt is $5, and a can of tennis balls cost $2. Which number line represents the
number of cans of tennis balls he can buy?

Answers

Answer 3 cans of tennis balls unless there is tax

Step-by-step explanation:

Answer:

He can buy 3 cans of tennis balls sorry my brain is jacked today, so I am sorry if this is not enough

Step-by-step explanation:

Find the equation of a line that passes through the points (-1,3) and (3,5). Leave your answer in the form y = m x + c

Answers

Answer:

y

=

2

x

+

13

Explanation:

You can use point-slope form to determine the slope

m

:

y

2

y

1

=

m

(

x

2

x

1

)

Given:

p

1

=

(

x

1

,

y

1

)

=

(

3

,

7

)

p

2

=

(

x

2

,

y

2

)

=

5,3)

Finding the slope:

3−7=m(5−3)−4=2m⇒m=−2

Step-by-step explanation:

2(6x+5)=58
(solve for x)

Answers

x=4

explanation:
2(6x+5)=58
you distribute the 2 to the 6x and the 5 making the problem:
12x+10=58
you would then subtract 10 from both sides of the equation then making the problem:
12x=48
since we are trying to get x alone we would then divide each side of the equation by 12 leaving you with
x=4

Solving Polynomials (PLZ HELP!! BRAINLIEST IF RIGHT)

Answers

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]5x^3-2x^2+5x-2=0\\x^2(5x-2)+(5x-2)=0\\(x^2+1)(5x-2)=0\\Hence,\\Either\ (x^2+1)\ should\ equal\ zero, or (5x-2)\ should\ be\ null.\\Lets\ try\ each\ on\ seperately:\\(x^2+1)=0\\x^2=-1\\x=\sqrt{-1}\\As\ \sqrt{-1}\ is\ not\ a\ real\ number,\ we\ can\ exclude\ it\ as\ a\ solution.\\Hence,\\(5x-2)=0\\5x=2\\x=\frac{2}{5} \\Thats\ your\ answer.[/tex]

Answer:

x = [tex]\frac{2}{5}[/tex] , x = ± i

Step-by-step explanation:

Given

5x³ - 2x² + 5x - 2 = 0 ( factor the first/second and third/fourth terms )

x²(5x - 2) + 1(5x - 2) = 0 ← factor out (x - 2) from each term

(5x - 2)(x² + 1) = 0

Equate each factor to zero and solve for x

5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]

x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± [tex]\sqrt{-1}[/tex] = ± i

The polynomial is of degree 3 and has 3 roots, 1 real and 2 complex, that is

x = [tex]\frac{2}{5}[/tex] ← real root

x = ± i ← complex roots

You and your partner decide to buy a house. The house costs £325,000. It will take 25 years
to pay off the mortgage and it will cost you £975,000 in total. What was your mortgage rate?

Answers

Answer:

66.66%

Step-by-step explanation:

follow the steps to get answer

plz thanks me and mark as

"18 less than the quotient of a number and -5 is at most -2"

Answers

Answer:

so......... what's the question?

Step-by-step explanation:

Please help me I’m begging you I’ll give brainless if your correct

Answers

Answer:

C

Step-by-step explanation:

24 + 2 = 26 ---> x = 26, y = 11

Answer:

the answer is c.) x = 26, y = 11

What is the domain of the square root function graphed below?
x is greater than or equal to -4.
x>-4
x is greater than or equal to 0
x>0

Answers

Answer:

Its C, x≥0

Step-by-step explanation:

Edge 2020

Answer:person above is correct

Step-by-step explanation:

c

Which is bigger 1 2/7 or 1 7/20?

Answers

the bigger one is 1 7/20

Answer: 1/27 is greater than 1 7/20 I believe.

Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for
the next 5 days, and then deposited her entire paycheck from Barney's Bagels, bringing
her balance to $750. Then she remembered that she had promised to donate 25% of her
paycheck to charity. How much should she withdraw from savings?

Answers

Answer:

$187.5

Step-by-step explanation:

25% of $750 = $187.5!

All I had to do was divide 750 by 4 and got my answer. You can also double check by multiplying 187.5 by 4 and you'll get the same answer.

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