At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.

A. northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h

B. northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h

C. northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h

D. northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h

Answers

Answer 1

Answer:

D Option is the correct one.

Step-by-step explanation:

As,

Distance covered = 40km = 40000m(1k=1000m)

time = 10:15-9:00 = 1:15hours = 75mins

We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.

For calculating distance for one hour,

40000/75 = 533.33m/min (means they covered 533.33m distance in one min)

for one hour:

533.33*60= 32000m = 32km

They covered 32km distance in one hour.

Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.

So for A,

Sum = 19 + 15 =34 (wrong not equal to 32)

For B,

Sum = 18 + 13 = 31 (wrong)

For C,

Sum = 16 + 10 = 26(wrong)

For D,

Sum = 18 + 14 = 32 (Right)

And second distance b/w both distance is 4km.

18-14 = 4(Right)

So, D option is the right one.

I hope it will help you.


Related Questions

the atomic number of arsenic is 33. what is the electron configuration of an arsenic atom

Answers

1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3

Find the distance between the points

a. 3
b. 4
c. 5
d. 6

Answers

Answer:

B. 4

Step-by-step explanation:

what is the answer? HELP MEEE

Answers

Answer: 126

Step-by-step explanation:

11+5=16

Step-by-step explanation:

square root of 121 is 11 and cube root of 125 is 5 i.e

11^2=121 and 5^3=125

Solve the simultaneous equation


3x-4y=11
9x+2y=5

Answers

Answer:

I assume you are looking for the x and y values of the two equations? if not message me!

y=–2

x=1

Step-by-step explanation:

Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28

We can now divide both sides by 14 to get y by itself so we are left with: y=–2

plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1

To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)

Answer:

Below in bold.

Step-by-step explanation:

3x-4y=11

9x+2y=5

Multiply the first equation by 3:

9x - 12y = 33

Subtract the above from the second equation:

2y - (-12y) = 5 - 33

14y = -28

y = -2.

Now plug y = -2into the first equation:

3x - 4(-2) = 11

3x = 11 - 8 = 3

x= 1.

anybody pls with the answer​

Answers

Answer:

1:10

Step-by-step explanation:

So 1 meter is equal to 100 centimeters, so when only asking for 10cm, it is 1/10th of the whole of a meter, so the ratio is 1:10

A;nswer:

10:1

Step-by-step explanation: meter is a hundred centimeters so,

100:10

simplify

10:1

the cost of cookies at store A are shown in the graph. The cost y for x cookies at store B is represented by the equation y=o.30x. which of the following statements are true? F. the cookies at store A cost more G. the cookies at store A cost $0.50 each H. the cookies at store B cost $0.15 each I. the cookies at store B cost more I need help ASAP please

Answers

Answer:

I

Step-by-step explanation: pick I because The cookies at store B cost more

6(4x-3)-9x distributive property

Answers

Answer:

15x-18

Step-by-step explanation:

use pemdas

do parenthesis first

6(4x-3)-9x

24x -18 -9x

15x-18

The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18

The given expression is:

6(4x-3)-9x

Expanding the expression using the distributive rule

24x - 18 - 9x

Collect like terms

24x - 9x - 18 (since 24x and 9x are similar)

The resulting expression becomes:

15x - 18

The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18

Learn more on distributive property here:

https://brainly.com/question/4077386

Which of the following is an arithmetic sequence with common difference 2?
O A. 1, -3, 5, -7, 9, ...
O B. 2, 4, 8, 16, 32, ...
O C. 10, 8, 6, 4, 2, ...
-
D. 13, 15, 17, 19, 21, ...
, ,

Answers

Answer:

B

Step-by-step explanation:

You can find the nth term of the arithmetic sequence calculator to find the common difference of the arithmetic sequence. The approach of those arithmetic calculator may differ along with their UI but the concepts and the formula remains the same. You need to find out the best arithmetic sequence solver having good speed and accurate results.

Answer:

iaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

BRAINLIEST
Please help me do these

Answers

Answer:

1.

a. YU, ZV, WS

b. VU, WX, ST

c. ZW

d. WXY

e. TSW

f. VU, TU, ZY, XY

g. VS, WS, ZV, XW, YZ, ZW

2.

a. intersecting

b. parallel

c. skew

d. intersecting

e. parallel

Answer:

Step-by-step explanation:


Find the area of the sector

Answers

if r = 15

A≈706.86

Steps:

A = πr²=π·15²≈706.85835 ( round to the nearest tenth )

= 706.86

Circle Formula:

Diameter of a Circle D = 2 × r

Circumference of a Circle C = 2 × π × r

Area of a Circle A = π × r2

3.03Quiz:circles
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?

Answers

Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

which item below weighs more

Answers

Step-by-step explanation:

Rice = 5¾ kg = 23/4kg = 23/4*1000 g = 5750g

Flour = 5725g

Rice > flour

Answer:

lol its rice

Step-by-step explanation:

how to slove and answer 11r+60=16

Answers

Answer:

r= -11

Step-by-step explanation:

11r + 60=16

we can see that 11x r + 60 = 16

but thats the problem ! we don't know what r is so

lets get r on its own

11r + 60 =16

subtract 60 from each side

60 -60 =0

left side = 11r

16-60 = -44

right side = -44

11 r = -11

divide both sides by 11

11r divided by 11 = r

-44 divided by 11 = -11

r=-11

I answered your question so plz mark as brainliest!xxxx

The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x

Answers

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

what is the correct way to label the entire line segment shown​

Answers

Answer:Yea looks like you have it already C

Step-by-step explanation:

Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, what is the cost of each CD?

Answers

Step-by-step explanation:

x = price per video game

y = price per CD

164 = 5x + 3y

and then we know

x = y + 12

now we can use this as substitute in the first equation :

164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60

104 = 8y

y = $13

x = y + 12 = 13 + 12 = $25

so, each CD costs $13.

How would you write the following expression as a sum or difference?

Answers

Answer:

B

Step-by-step explanation:

Look at the expression inside the log( ).  Work from the outside in, so to speak.  First, there's a quotient (the cube root divided by 3x).

[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]

The cube root can be written using a rational exponent.

[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]

Use the exponent property to move the exponent 1/3 out.

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

This now matches answer choice B.

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Q; write the sentence as an equation. 251 is equal to 130 added to q

Answers

Answer:

251 = 130 + q

This is d equation

Answer:

251 = q + 130

Step-by-step explanation:

251 is equal to 130 added to q,

→ 251 = q + 130

Let's solve the equation,

→ 251 = q + 130

→ q = 251 - 130

→ [ q = 121 ]

So, the answer is 121.


Work out the area of the pentagon.
Give your answer correct to 3 significant figures.

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Answers

Answer:

Step-by-step explanation:

A = 1/4√5(5+2√5)a²

Yall i need help asap! please help me. ​

Answers

Refer the attachment please

Hope it helps

Best of luck

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Answer: Reflection

Step-by-step explanation: reflection: when a figure flips over a line

The graph of f(x)=16^x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x) ?

Answers

Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8

one of the rows in the table has an error and does not have the same ratio as the other rows

Answers

Row 3 should show 7 feet is equivalent to 84 inches

PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

Please help. Been stuck on this for days.

Answers

Answer:

At least 8.333 km/hr

Step-by-step explanation:

Using the inequality setup, we have

5/r + 1.25 + .75 + .9 ≤ 3.5

5/r ≤ .6

5 ≤ .6r

r ≥ 25/3 = 8.333

Whoever tell me if they had a nice day first I’ll give the brainlyest or however you spell it

Answers

Answer:

hello!

Step-by-step explanation:

i had a nice day i hope you did too :)

here!i need the answer!
[tex]\sf 13\times 13\times 1[/tex]

Answers

Answer:

[tex]169[/tex]

Step-by-step explanation:

[tex]13 \times 13 \times 1[/tex]

[tex] = 13 \times 13[/tex]

[tex] = 169[/tex]

Which choice is the graph of y < x – 5? (Need Help!!!)

Answers

Answer:

Step-by-step explanation:

The graph increasing over the given entire interval: -3 < x < 0.

What is Linear Function?

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=2x+5. Where:

m= the slope.

b= the constant term that represents the y-intercept.

Here, we have,

For the given example: m=2 and b=5.

A function can be classified as:

  increasing - when the values of y increase with the increasing of x-values

  decreasing - when the values of y decrease with the increasing of x-values

The question gives the entire interval where the function increases. Thus, from the graph is possible to see that the function increases when x is between –3 and 0 because the values of y increase with the increasing of x-values.

Hence, The graph increasing over the given entire interval: -3 < x < 0.

Read more about decreasing linear function here:

brainly.com/question/27716206

#SPJ2

complete question:

This shows a graph.

For which choice is the graph increasing over the entire interval?

0 < x < 2

2 < x < 4

-3 < x < 0

-3 < x < 4

For which choice is the graph increasing over the entire interval?

I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?

Answers

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

Find missing value to make a function….Thanks

Answers

Answer:

12

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 60-30)/(6-0)

   = 30/6 = 5

Now using a second set of points and the slope we can find p (0,30) and (p,90)

5 = ( y2-y1)/(x2-x1)

5 = (90-30)/(p-0)

5 = 60/p

Multiply each side by p

5p = 60

Divide by 5

p =60/5

p = 12

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