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3 years ago

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

Unit rate for 400m race:

Distance = 400m

Time = 43 sec

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

Unit rate for 300m Race:

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

#LearnwithBrainly

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Help solve these algebraic fractions please with explanation would be great <3

sineoko [7]

Answer:

7/ Ans;

$\frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4}$

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9/Ans;

$\frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4}$

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In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

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2 years ago

Solve the systems of equations 6x+3y=9 2x+3y=1

patriot [66]

Solve by elimination.
The goal is to cancel out one of the variables in order to easily solve for the other variable.

Do this by changing the equations so that the coefficients of either x or y add up to 0.

Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0

Multiply 2nd equation by -1.

6x +3y = 9
-2x -3y = -1
__________
4x +0y = 8

Solve for x
4x = 8
x = 8/4 = 2

Plug x=2 back into one of original equations to find y.
---> 2(2) + 3y = 1
---> 4 + 3y = 1
---> 3y = -3
---> y = -1

Therefore solution is (2,-1)

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3 years ago

Y=x +5 5x + 2y=1 Can you show the steps thanks

lubasha [3.4K]

Answer:

(-9/7,-26/7)

[more detailed at the bottom of the explanation]

Step-by-step explanation:

I am assuming that this is a system of equations...

So, knowing that y is equal to x + 5, you would plug that in the second equation and find x. Then you would plug x and find y.

—————

Step 1)

Equation 1:

y = (x + 5)

Equation 2:

5x + 2y = 1

Equation 2 can also be written as:

5x + 2(x+5) = 1

I wrote x+5 instead of y because the first equation tells us that y is equal to x + 5.

—————

Step 2)

Solve for x .

5x + 2(x+5) = 1

5x + 2x + 10 = 1

7x + 10 = 1

7x = 1 - 10

7x = -9

x = -9/7

—————

Step 3)

Plug the x value back in the first equation.

y = -9/7 + 5

y = -26/7

—————

Solution:

x = -9/7

y = -26/7

In ordered pair form:

(-9/7,-26/7)

————— ————— —————

Hope this helps !!!!!!!

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3 years ago

What is the equation of the line that passes through the point (4,-2)(4,−2) and has a slope of -2−2?

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i believe the answer is y = -2x + 6

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2 years ago

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x = 227272.73

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