Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meters per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?

Answers

Answer 1

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]

Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]

then  Mikaela speed is [tex]v_m=50+x[/tex]

the difference in the finishing time is 1 minute i.e.

[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]

Time taken by Yohanne is

[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]


Related Questions

WILL GIVE BRAINLIEST

Answers

If I’m correct the answer is A

Answer:

They only intersect once. (Correct letter is B)

Step-by-step explanation:

Slope Intercept Form:

2x - 4y = 3

-2x        -2x

________

-4y = -2x + 3

Switch the signs of all of the numerals since you cannot have a negative 'y' value.

4y = 2x - 3

----   ---------

4         4

y= 1/2x - 3/4

-----------------------------------------------------------------------------------------------------------------

7y - 5x = 8

    +5x  +5x

----------------

7y = 5x + 8

----   ---------

7        7

y= 5/7x + 1 1/7

-----------------------------------------------------------------------------------------------------------------

After graphing the lines, you then can see that the lines only ever intersect once.

what is the answer??? Please help me!
16% of 40 =

Answers

Answer:

16/100*40

32/2

lol so simple

gg

Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth.

Answers

Answer:

The answer is below

Step-by-step explanation:

Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.

Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:

[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]

Can someone plz help me with this the answer choices are at the bottom plz I beg u

Answers

formula is v=1/3Bh
shape of base is rectangle/parallelogram
solution: 192cm^3
sorry if it’s wrong , been a while since i did it

Answer:

Step-by-step explanation:

Choose the graph of the system of equations.
P=10d
P=8d+40

Answers

Answer:

Step-by-step explanation:

10d = 8d + 40

2d = 40

d = 20

10(20) = P

200

(20, 200)

Option 1 is the first choice

Help!! I have 55 seconds to do this

Answers

Answer:

the answer is A

Step-by-step explanation:

78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer

PLSSS HURRY!!!

Here are the answer choices

A. counterclockwise rotation

B.Clockwise rotation

C.90 rotation

D. 45 rotation

E. 180 rotation

Answers

Answer:

B. Clockwise Rotation

Step-by-step explanation:

i hope it helps ;)

B. Cya adrianna ps. U shouldn’t include ur name in the photos

Im new to this tysm though if you help!:)

Answers

Answer:

60

Step-by-step explanation:

-12 * -5 = 60

Answer:

60

Step-by-step explanation:

Hey!

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

So -12(-5) is equivalent to 12(5) which is 60.

Hope I helped, Feel free to ask any questions if you need me to clarify!

Have a nice day!

            -Aadi x

20=c/5

can you show your work thanks
Someone help me I need this one fast

Answers

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

Which equation represents a proportional relationship that has a constant of proportion nationality equal to 4 - 5

Answers

Question:

Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5

Answer:

[tex]y = \frac{4}{5}x[/tex]

Step-by-step explanation:

Required

Equation with 4/5 as its constant of proportion

Two proportional quantities x and y have the following relationship:

[tex]y = kx[/tex]

Where k is the constant of proportion.

In this case:

[tex]k = \frac{4}{5}[/tex]

So.

[tex]y = kx[/tex] becomes

[tex]y = \frac{4}{5}x[/tex]

Please help me with this

Answers

Answer:the answer would also be 20 degrees

Step-by-step explanation:

because its exaclty across from the angle!!!!!

Answer:

20 degrees

Step-by-step explanation

they are opposite angles

Use the double bar graph below to answer the following question.

What was the population of San Diego in 2000?



1,000,000
1,200,000
1,100,000
2,000,000

Answers

Answer:

the population would be 1,200,000 of San Diego in 2000

Answer:

1,200,000 is your answer

Step-by-step explanation:

NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).

Answers

Answer:

10/10

Step-by-step explanation:

Ez..........................................................

Pythagorean Theorem Word Problems Mazel​

Answers

Is there supposed to be a picture here?? There isn’t.

What is the most common number of sit-ups completed in 1 minute? Explain how you used the dot plot to identify this number.
Write your answer in the space below.

Answers

Answer:

38.

Step-by-step explanation:

38 is the highest column in the plot.

Answer:

Heya

Step-by-step explanation:

the most common number of sit-ups completed in 1 minute is 38

hope it will be helpful :)

Guys im a not the smartest fifth grader and i need help pls help me my question is 5/6 divided by 1/3

Answers

the answer should be 5/2

Answer:

When dividing fractions, you keep the first fraction the same, change the problem into a multiplication problem, and flip the second fraction.

5/6 x 3/1 = 15/6 = 2 3/6

Step-by-step explanation:

PLS NEED HELP DON'T UNDERSTAND ONE PART

Answers

Answer:

Step-by-step explanation:

Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Answer = 1800 degrees

Hope that helps!

Answer: .

Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.

Jayden buys stickers for $2 each and marks up the price by 55%. How much profit does Jayden make from each sticker sold?

Answers

Answer:

$1.1 profit

Step-by-step explanation:

100% plus 55% profit = 1.55

2 x 1.55 =3.1

3.1-2=1.1

What is the equation of a line with a slope of 2 and a y intercept of -5?

Answers

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

Please help me with those questions please

Answers

Answer:

7.5

35.2

1.5

20

Step-by-step explanation:

1. vertical angles are equal

(2x+17)=(4x+2)

15= 2x

x= 7.5

2. adjacent angles equal 180

(2m+8)+(3m-4)= 180

5m+4= 180

5m= 176

m= 35.2

3. (30s+5)=(20s+20)

10s= 15

s=1.5

4. 4p+5p=180

9p=180

p=20

sorry that took so long.  I was babysitting lol

JLK ~ PQR Find the value of x.

Answers

Answer:

12

Step-by-step explanation:

if their similar then find the proportion with a cross multiplication equation

x/36 = 13/39

x*39 = 36*13

39x = 468

x = 468/39

x = 12

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{JL}{PQ}[/tex] = [tex]\frac{JK}{PR}[/tex] , substitute values

[tex]\frac{x}{36}[/tex] = [tex]\frac{15}{45}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3x = 36 ( divide both sides by 3 )

x = 12

The table shows the results of an experiment in which Max drew tiles from a bag. If Max conducts this experiment again and performs 200 trials, which is the best prediction of how many times he will draw a blue tile?


Frequency
Red 9
Blue 46
Green 25
TOTAL TRIALS 80

Answers

Explanation is in the file

tinyurl.com/wpazsebu

100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.

Answers

Answer:

this is your answer look it once

Answer:

5: x > 6

6: x < 62

Step-by-step explanation:

[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]

[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]

what is 1 1/4 divided by 1 2/5 for kahn academy ?

Answers

Answer:

25/28

Step-by-step explanation:

5/4 x 5/7 = 25/28

Answer:

25/28

Step-by-step explanation:

Is this correct and if not what am I missing?

Answers

it would be B. because the others aren’t correct

Answer:

Yes you are correct

The peak is at 5

Step-by-step explanation:

5.solve for x 6. solve for x​

Answers

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

----------------------------------------------------------

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

WILL GIVE BRAINLIEST

Answers

6²+ 8²= 10²

36 + 64 = 100

100 = 100

so yes because 6² + 8² = 10²

Option B

Find the perimeter of the given figure, help please!

Answers

Answer:

22.5 cm

Step-by-step explanation:

P=2(6.75)+2(4.5)

P=13.5+9


The lines represented by the equations y = –2 – 9 and y – = 2 are

Answers

Answer:

i dont know if its a typo but here

Step-by-step explanation:

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Answers

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

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