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Gnom [1K]
2 years ago
12

Choose the expression that represents the prime factorization of 96.

Mathematics
1 answer:
fredd [130]2 years ago
4 0

Answer:

3.2.2.2.2...

Step-by-step explanation:

The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers

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3x+6/x^2-x-6+2x/x^2+x-12
Tanzania [10]
\dfrac{3x+6}{x^2-x-6} +  \dfrac{2x}{x^2+x-12}

= \dfrac{3(x+2)}{(x + 2)(x - 3)} +  \dfrac{2x}{ (x - 3)(x + 4)}

= \dfrac{3}{(x - 3)} +  \dfrac{2x}{ (x -3)(x + 4)}

= \dfrac{3(x+4)}{(x - 3)(x + 4)} +  \dfrac{2x}{ (x -3 )(x + 4)}

= \dfrac{3(x+4) + 2x }{(x - 3)(x + 4)}

= \dfrac{3x+12 + 2x }{(x - 3)(x + 4)}

= \dfrac{5x+12}{(x - 3)(x + 4)}



6 0
3 years ago
Carlisle purchased one-fourth of a pound of candy at the mall. what decimal did he see on the scale
Yuri [45]
0.25000
..........
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6 0
2 years ago
Read 2 more answers
Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=​
elena-14-01-66 [18.8K]
5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).
3 0
3 years ago
^^^^^^^^^^^^^^^^^^^^
telo118 [61]

ANSWER

The correct answer is C

EXPLANATION

We want to find the quotient:

-  \frac{10}{19}  \div ( -  \frac{5}{7} )

We multiply by the reciprocal of the second fraction:

-  \frac{10}{19}   \times  ( -  \frac{7}{5} )

We cancel out the common factors to obtain:

-  \frac{2}{19}   \times  ( -  \frac{7}{1} )

We multiply to get

\frac{ - 2 \times  - 7}{19 \times 1}

This simplifies to :

\frac{14}{19}

The correct answer is C

7 0
3 years ago
Read 2 more answers
Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
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