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kkurt [141]
3 years ago
7

Which of the following best represents the average speed of a fast runner?

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0
10 meters per second is the correct answer

Here's why:
10 miles per minute is 600mph

10 centimeters per hour is
0.000062mph

10 kilometers per hour is 22369mph
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(x+1)(2x-4)(1/x+1) = (x+1)(2x-4)(1-5/2x-4)
Sunny_sXe [5.5K]

Solution:

(x+1)(2x-4)(\frac{1}{x}+1)=(x+1)(2x-4)(1-\frac{5}{2x}-4)\\(x+1)(2x-4)(\frac{1}{x}+1)-(x+1)(2x-4)(1-\frac{5}{2x}-4) = 0\\(x+1)(2x-4)(\frac{1}{x}+1-(1-\frac{5}{2x}-4))=0\\(x+1)(2x-4)(\frac{1}{x}+1-(-3\frac{5}{2x}))=0\\(x+1)(2x-4)(\frac{1}{x}+1+3+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{1}{x}+4+\frac{5}{2x})=0\\(x+1)(2x-4)(\frac{5x^{2}+8x+2}{2x} )=0\\

x+1=0\\x=-1\\\\2x-4=0\\x=2\\\\\frac{5x^{2}+8x+2}{2x}=0\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}

Answer:

x=-1\\x=2\\x=\frac{-4+\sqrt[]{6}}{5}\\x=\frac{-4-\sqrt[]{6}}{5}

<em>Hope this was helpful.</em>

8 0
3 years ago
HELP PLEASE!!!! I will make u as branilyst
PolarNik [594]

Answer:

Step-by-step explanation:

\frac{7x-8}{2}=3x\\  \\7x=6x+8\\\\ x=8

5 0
3 years ago
Karl’s math class is playing a number game. Each student is given a number card containing the numbers 1 to 6. The rules of the
Lena [83]

By finding the probability, we can expect that 2 out of the 30 students will win the prize.

<h3>How many of the 30 students will win the prize?</h3>

First, we should get the probability of winning this game.

Here the students select two numbers out of 6, just to make the calculations let's say that these numbers are 1 and 2.

Now, we need to get these two numbers in two balls. The probability of getting the ball with the number 1 out of the 6 balls is:

p = 1/6

The probability of getting the ball with the number 2 out of the remaining 5 balls (because we already got one) is:

q = 1/5

The joint probability is then:

P = 2*(1/6)*(1/5) = 1/15.

Where the factor 2 comes to take in account the permutations, for the case where we first draw the number 2 and then the number 1.

Then the expected number of students that will win is equal to the probability times the total number of students:

(1/15)*30 = 2

So out of the 30 students, we can expect that 2 will win.

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

8 0
2 years ago
A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


5 0
3 years ago
Arianna has a coin collection. She keeps 4 of the coins in her box, which is 10% of the
natima [27]

Answer: 40 coins. Doesn't your profile say college?

5 0
3 years ago
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