3 years ago

When dealing with a unit rate as a fraction, how would you get the unit rate as a denominator of one?

Mathematics

1 answer:

noname [10]3 years ago

3 0

Answer:5

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Step-by-step explanation:rrrrrrr

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(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y {-2, 1} {-2, 3} {}

vaieri [72.5K]

Answer:

{-2, 1}

Step-by-step explanation:

$\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}$

Make the fractions have a common denominator.

$\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}$

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

$2y^2-y+12=3y^2+10$

Now, set the equation equal to zero and factor.

$2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1$

The y-values are {-2, 1}

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3 years ago

5% sales tax on a $30 purchase

Molodets [167]

Answer:

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Step-by-step explanation:

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2 years ago

A rectangular prism with dimensions of 4 feet by 5 feet by 6 feet

frosja888 [35]

what is the height of it

and what do you want me to find?

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3 years ago

7. What is the slope of a line that passes through the origin and (-3,-2)?

Crazy boy [7]

Answer:

Step-by-step explanation:

( 0, 0) and (-3 , -2)

Slope = Change in y ÷ change in x

$= \frac{-2-0}{-3-0}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}$

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3 years ago

Which pair of numbers is relatively prime?

kondor19780726 [428]

Answer:

Step-by-step explanation:

Two numbers are relatively prime when there is no integer greater than one that that is a factor of both of them.

A: 15 and 21 both have a factor of 3.

B: 24 and 49 have no common factors, and therefore, are relatively prime.

C. 35 and 135 both have a factor of 5.

D: 45 and 102 both have a factor of 3.

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3 years ago