Mathematics, 18.10.2021 03:20 aisha82

George can walk 5 miles in 1 1/2 hours at this rate how far can george walk in 6 hours? fraction form

$George can walk 5 miles in 1 1/2 hours at this rate how far can george walk in 6 hours? fraction$

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Answer from: harleycochran2ovyt3n

$\mathrm{\frac{\#\:of\:miles}{\#\:of\:hours}=\frac{5}{1\frac{1}{2}}}$

First off, we have to convert 1 and half hours to minutes

1 hour = 60 mins

1 and a half is half of 1, which is 60 ÷ 2 = 30, then plus 1 hour, which is 60. So 60 + 30 = 90.

So we have:

$\frac{5}{90}$

Since we converted minutes to hours on one side of the equation, we have to do the same on the other side of the equation.

1 hour = 60 mins

6 hours would be 60 × 6 = 360 minutes

Now we can set up a variable, , as to how far it will take in miles.

$\frac{5}{90}=\frac{m}{360}$

Make sure to put your units at the same level. Learn more:

Nextly, we solve for

$\frac{5}{90}=\frac{m}{360}$

Step 1: Multiply 10 to both sides

$10\cdot[\frac{5}{90}]=[\frac{m}{360}]\cdot10$

10 and 90. Cancel the zeros. We are left with 9, so $\frac{5}{9}$

360 and 10. Cancel the zeros. We are left with 36, so $\frac{m}{36}$

So we have $\frac{5}{9}=\frac{m}{36}$

Step 2: Multiply 36 to both sides

$\frac{36m}{36}=\frac{5\cdot \:36}{9}$

Therefore, Goerge could walk 20 miles in 6 hours.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

(2 x^3 + 7 x^2 + 5 x + 2)/(x (x + 2))

step-by-step explanation:

simplify the following:

x/x^2 + 3 x + 2 - (x (x + 1))/(x + 2)

combine powers. x/x^2 = x^(1 - 2):

x^(1 - 2) + 3 x + 2 - (x (x + 1))/(x + 2)

1 - 2 = -1:

x^(-1) + 3 x + 2 - (x (x + 1))/(x + 2)

put each term in 1/x + 3 x + 2 - (x (x + 1))/(x + 2) over the common denominator x (x + 2): 1/x + 3 x + 2 - (x (x + 1))/(x + 2) = (x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)):

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2))

(x + 2)/(x (x + 2)) + (3 x^2 (x + 2))/(x (x + 2)) + (2 x (x + 2))/(x (x + 2)) - (x^2 (x + 1))/(x (x + 2)) = ((x + 2) + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2)):

(2 + x + 3 x^2 (x + 2) + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

3 x^2 (x + 2) = 3 x^3 + 6 x^2:

(2 + x + 3 x^3 + 6 x^2 + 2 x (x + 2) - x^2 (x + 1))/(x (x + 2))

2 x (x + 2) = 2 x^2 + 4 x:

(2 + x + 6 x^2 + 3 x^3 + 2 x^2 + 4 x - x^2 (x + 1))/(x (x + 2))

-x^2 (x + 1) = -x^2 - x^3:

(-x^2 - x^3 + 3 x^3 + 6 x^2 + 2 x^2 + 4 x + x + 2)/(x (x + 2))

grouping like terms, 3 x^3 - x^3 + 6 x^2 + 2 x^2 - x^2 + 4 x + x + 2 = (3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2:

((3 x^3 - x^3) + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

3 x^3 - x^3 = 2 x^3:

(2 x^3 + (6 x^2 + 2 x^2 - x^2) + (x + 4 x) + 2)/(x (x + 2))

6 x^2 + 2 x^2 - x^2 = 7 x^2: