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3 years ago

Trey runs 7 miles in 50 minutes. at the same rate, how many miles would he run in 75 minutes?

Mathematics

1 answer:

slava [35]3 years ago

8 0

He can run 10.5 miles in 75 minutes

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What is the difference?

AfilCa [17]

Answer:

Option b) is correct.

The difference of given expression is

$\left(\frac{2x+5}{x^2-3x}\right)-\left(\frac{3x+5}{x^3-9x}\right)-\left(\frac{1x+1}{x^2-9}\right)=\frac{(x+2)(x+5)}{(x^3-9x)}$

Step-by-step explanation:

Given expression is

$\left(\frac{2x+5}{x^2-3x}\right)-\left(\frac{3x+5}{x^3-9x}\right)-\left(\frac{1x+1}{x^2-9}\right)$

To find their difference

$\left(\frac{2x+5}{x^2-3x}\right)-\left(\frac{3x+5}{x^3-9x}\right)-\left(\frac{x+1}{x^2-9}\right)$

The expression can be written as below

$\left(\frac{2x+5}{x^2-3x}\right)-\left(\frac{3x+5}{x^3-9x}\right)-\left(\frac{x+1}{x^2-9}\right)=\left(\frac{2x+5}{x (x-3)}\right)-\left(\frac{3x+5}{x(x^2-9)}\right)-\left(\frac{x+1}{x^2-9}\right)$

$=\left(\frac{2x+5}{x(x-3)}\right)-\left(\frac{3x+5}{x(x^2-3^2)}\right)-\left(\frac{x+1}{x^2-3^2}\right)$

$=\left(\frac{2x+5}{x(x-3)}\right)-\left(\frac{3x+5}{x(x+3)(x-3)}\right)-\left(\frac{x+1}{(x+3)(x-3)}\right)$ (using $a^2-b^2=(a+b)(a-b)$ )

$=\frac{(2x+5)(x+3)-(3x+5)-(x+1)x}{x(x+3)(x-3)}$

$=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x+3)(x-3)}$

$=\frac{x^2+7x+10}{x(x+3)(x-3)}$

$=\frac{(x+2)(x+5)}{x(x+3)(x-3)}$

$=\frac{(x+2)(x+5)}{x(x^2-3^2)}$ (using $a^2-b^2=(a+b)(a-b)$ )

$=\frac{(x+2)(x+5)}{x(x^2-9)}$

$=\frac{(x+2)(x+5)}{(x^3-9x)}$

Therefore $\left(\frac{2x+5}{x^2-3x}\right)-\left(\frac{3x+5}{x^3-9x}\right)-\left(\frac{1x+1}{x^2-9}\right)=\frac{(x+2)(x+5)}{(x^3-9x)}$

Option b) is correct.

The difference of given expression is

$\left(\frac{2x+5}{x^2-3x}\right)-\left(\frac{3x+5}{x^3-9x}\right)-\left(\frac{1x+1}{x^2-9}\right)=\frac{(x+2)(x+5)}{(x^3-9x)}$

3 0

3 years ago

Which measurement is equivalent to 850 mg A 8,500 g ,B 8.5 kg, C 0.850 g, D 85 cm.

Anna11 [10]

The answer is letter D.

6 0

2 years ago

Write an expression that shows how to multiply 4 x362 using place value and expanded form

gtnhenbr [62]

The answer ur looking for is 1,448

6 0

3 years ago

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claim

n200080 [17]

The probability that he is in the right job is 0.65, so the probability he is in the wrong job is 0.35, and similarly, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test is then wrong is 0.65*0.3=.195, and the probability that someone is in the wrong job and the test is wrong is 0.35*.3=.105.

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3 years ago

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Round 590,340 to the nearest hubdred thousand

Leviafan [203]

Answer:

600,000

Step-by-step explanation:

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3 years ago

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