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DiKsa [7]
3 years ago
13

Last week, Emily and Stephanie decided to see how fast they could sprint 300 meters. They asked their friend Kevin to time them

with a stopwatch. After 3.29 minutes, Kevin agreed to time the runners. Emily sprinted first and ran 300 meters in 58.81 seconds. When it was Stephanie's turn, she sped off and completed the run in 50.61 seconds. How much faster was Stephanie than Emily in seconds?
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0
8.2 seconds because they run the same distance so all you would do is subtract 58.81-50.61=8.2 seconds


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Which of the following equations is in equation formed when completing the square on y^2 - 12 y= -27
bogdanovich [222]

Answer:

(y-6)^2=9

Step-by-step explanation:

Given

y^2 - 12y = -27

Required

Get equivalent expression using completing the square

<em>Follow these steps:</em>

  • <em>Take the coefficient of y; That is -12</em>
  • <em>Divide it by 2; That is (-12/2)</em>
  • <em>Square it: (-12/2)^2</em>

<em />

Add to both sides of the equation

y^2 - 12y + (\frac{-12}{2})^2= -27 + (\frac{-12}{2})^2

y^2 - 12y + (-6)^2= -27 + (-6)^2

y^2 - 12y + 36= -27 + 36

y^2 - 12y + 36= 9

Expand the right-hand side

y^2 - 6y - 6y + 36= 9

Factorize:

y(y-6)-6(y-6) =9

(y-6)(y-6)=9

(y-6)^2=9

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UkoKoshka [18]

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K-8=-17 that is the answer to this problem
Margarita [4]

Answer:

k=-9

Step-by-step explanation:

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The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equa
Papessa [141]

Answer:

The system of linear equations are y=5+x and  x+y=25

Step-by-step explanation:

Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.

(50 students picked, 25 picked dinner the rest picked lunch and breakfast)

To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?

Solution :

The number of students who chose breakfast be 'x'

The number of students who chose lunch be 'y'.

The number of students who chose lunch was 5 more than the number of students who chose breakfast.

i.e. y=5+x

Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.

So, x+y=25

Therefore, the system of linear equations are y=5+x and  x+y=25

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