Find the prime factorization of 108

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

7 0

Answer:

2^2 * 3^3

Step-by-step explanation:

When breaking of 108 into factors, you first get 9 and 12. Then, the 9 gets split into a 3 and a 3. Meanwhile the 12 is split into a 3 and a 4. Finally the 4 is split into a 2 and a 2. So you end up with 2*2*3*3*3, which is the same as 2^2 * 3^3

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First we calculate how many ways you can choose four books from a set of eight.
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8! / [4! * 4!]

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The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg. If each bag of sugar weighs 0.75 kg, what is the weight of

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The answer is: Each bag of flour weighs 1,32 kg.

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A bike and skate shop rents bike for $21 per day and pairs of skates for $20 per day. To remain viable, the shop needs to make a

Leya [2.2K]

Let the number of bike be x and the number of skates be y, then
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2y = x . . . (2)

Putting (2) into (1), then
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3 years ago

What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?

Ahat [919]

3x + y = 9 (I)
y = –4x + 10 (II)
------------------------
 $\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.$

Pass the incognito "4x" to the first term, changing the signal when changing sides.
-------------------------
simplify by (-1)
 $\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.$ 

-------------------------
 $\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right. 
$

-------------------------
 $\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.$ 

-----------
 $\boxed{x = 1}$ 

Substitute in equation (I) to find the value of "Y".

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3*(1) + y = 9
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Answer:
$\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}$

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