2 1/2 divided by 3/2

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer:

1.6666666666

Hope this helps!

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Which of the following is the inverse of y = 2/3x + 1

Vesnalui [34]

Answer:

Y=3/2x - 3/2

Step-by-step explanation:

To find the inverse, switch the x and y in the equation. Then solve for y.

Y=2/3x+1

X=2/3y+1

X-1=2/3y

3/2(x-1)=y

3/2x-3/2=y

6 0

2 years ago

Read 2 more answers

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

ddd [48]

Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

$\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}$

$\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}$

4 0

2 years ago

Combine like terms. (−2n−2)+(6+8m)+(8m+4n)

katrin2010 [14]

Answer:

16m + 2n + 4

Step-by-step explanation:

( −2n −2) + (6 + 8m) + (8m + 4n)

−2n + −2 + 6 + 8m + 8m + 4n

(8m + 8m) + ( −2n + 4n) + (−2 + 6)

16m + 2n + 4

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