answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrRa [10]
1 year ago
14

Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meter

s per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?
Mathematics
1 answer:
lilavasa [31]1 year ago
7 0

Answer: 5 min

Step-by-step explanation:

Given

Length of the race track l=1\ km\ or\ 1000\ m

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

then  Mikaela speed is v_m=50+x

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

\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.

Time taken by Yohanne is

\Rightarrow t=\frac{1000}{200}=5\ min

You might be interested in
An engineer is trying to produce as much hydrogen gas as the company can using the equipment they have.
Oduvanchick [21]

Answer:

7

Step-by-step explanation:

7

7 0
1 year ago
The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor s
faltersainse [42]

Answer:

The parameters of the exponential distribution is 0.0133.

Step-by-step explanation:

Exponential distribution is a continuous probability distribution.

The density function of exponential distribution is,  

f _{X}(x)=\theta \cdot e^{-\theta\cdot x},\ x\geq 0

Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.

The random variable <em>X</em> has an average value of 75 seconds.

Compute the parameters of the exponential distribution as follows:

\theta=\frac{1}{\mu}\\\\

  =\frac{1}{75}\\\\=0.013333333333\\\\\approx 0.0133

Thus, the parameters of the exponential distribution is 0.0133.

3 0
1 year ago
What are the eight-digit grid coordinates for benchmark 86 (circled in red)?
Alex777 [14]

Answer:

An eight-digit grid coordinate gives a precision to the nearest 10 meters

Step-by-step explanation:

Grid coordinates are meant to accurately direct to  a specific location, using a map that comes with vertical and horizontal lines of equal spacing and numbers attached to each line to map out a location. The crossing vertical  and horizontal lines have unique numbers and form small squares known as grid squares.

The more digits in the coordinate of a point the increase in precision an eight- digit gives a precision to the nearest 10 meters

3 0
2 years ago
Write a power that has a value greater than 340 and less 345
valina [46]

For this case we must write a power between (340,345)

We chose 343.

We divide the number until we get an exact division:

\frac {343} {2} = 171.5\\\frac {343} {3} = 114.3\\\frac {343} {4} = 85.75\\\frac {343} {5} = 68.6\\\frac {343} {6} = 57.17\\\frac {343} {7} = 49\\

So we have:

7 ^ n = 343\\n = 3

So, the power is:

7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343

ANswer:

7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343

6 0
2 years ago
Read 2 more answers
Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn a
professor190 [17]

Answer:

h + s = 15

2h + s = 20

Step-by-step explanation:

Let the number of hats Chevy made = h

Let the number of scarves made by Chevy = s

From the statement of the question, " Chevy made a total number of 15 items"

Equation will be  h + s = 15

Amount of yarn used to make one hat = 0.2 kilograms

So amount of yarn used to make "h"hats = 0.2h kilograms

Similarly Amount of yarn used to make one scarf = 0.1 kilograms

So amount of yarn used to make "h" scarves = 0.1s kilograms

Another statement states " Chevy wants to use 2 kilograms of yarn to make these items".

Equation for this statement will be,

0.2h + 0.1s = 2

OR 2h + s = 20 [By multiplying the equation by 10]

Therefore, system of the equations will be

h + s = 15

2h + s = 20

8 0
2 years ago
Other questions:
  • Sam is getting ready for a big date when he realizes that he has no money. his roommate, bill, also has no money, but he has a c
    12·2 answers
  • Find the image of Z(1,1) after two reflections, first across line L1, and then across line L2. L1: x=2, L2: y-axis
    6·2 answers
  • On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least
    6·2 answers
  • A candy store sells yogurt-covered raisins for $3.50 per pound and chocolate-covered-pretzels for $3.00 per pound. How many poun
    15·1 answer
  • The coordinate values of the vertices of △klm are integers. triangle klm has vertices located at (1, 1), (5, 4) and (5, 1). whic
    12·1 answer
  • Marcus pours 12 ounces of cranberry juice into a punch bowl. He uses a container to add sprakling water to the bowl one ounce at
    13·1 answer
  • Identify the equation of the translated graph in general form x^2-y^2=9 for T(-4,2)
    13·2 answers
  • Find the absolute value of 3.1+(-6.3)
    12·1 answer
  • Deana's Deli has a mean delivery time of 23 minutes with a standard deviation of 2 minutes. Determine the z-score for the number
    15·1 answer
  • Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!