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2 years ago

5

Explain how to write 3x3/8 as a product of a whole number and a unit fraction

1 answer:

Sonja [21]2 years ago

3 0

Hi there!

To write 3 x 3/8 as a unit fraction it is 9/8.

To write 3 x 3/8 as a whole number it is 1 1/8.

Explanation:

When you multiply 3 x 3/8 you get 9/8.

But when you make it to a proper fraction you get 1 1/8.

Hope this helps ;)

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What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

<em>NO SOLUTION</em>

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2 years ago

Please help and I give brainlest

3241004551 [841]

Answer:

1/8 for each friend.

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 1/8 = 1/2

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1 year ago

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What is the slope of the line passing through the points (−1, 7) and (4, −1)?

Damm [24]

Hey!

------------------------------------------------

Formula: $m = \frac{y2 - y1}{x2 - x1}$

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Steps To Solve:

~Substitute

$m = \frac{-1 - 7}{4 - (-1)}$

~Simplify

$m = \frac{-8}{5}$

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Answer:

$\large\boxed{C)~\frac{-8}{5} }$

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Hope This Helped! Good Luck!

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2 years ago

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