When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
Answer:
5/6
Step-by-step explanation:
5/1 cakes shared by 6/1 people. To divide, we can freeze flip and multiply the fractions to get to 5/1 * 1/6 = 5/6 cakes per person. Let me know if this helps.
8(5) - 4y = 39
40 - 4y = 39
-4y = -1, y = 1/4
Solution: y = 1/4
Answer:
![y=8](https://tex.z-dn.net/?f=y%3D8)
![RS=77, ST=31](https://tex.z-dn.net/?f=RS%3D77%2C%20ST%3D31)
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
![RT=RS+ST](https://tex.z-dn.net/?f=RT%3DRS%2BST)
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
![108=(9y+5)+(3y+7)](https://tex.z-dn.net/?f=108%3D%289y%2B5%29%2B%283y%2B7%29)
On the right, combine like terms:
![108=(9y+3y)+(5+7)](https://tex.z-dn.net/?f=108%3D%289y%2B3y%29%2B%285%2B7%29)
Add:
![108=12y+12](https://tex.z-dn.net/?f=108%3D12y%2B12)
Subtract 12 from both sides. The right cancels:
![96=12y](https://tex.z-dn.net/?f=96%3D12y)
Divide both sides by 12:
![y=8](https://tex.z-dn.net/?f=y%3D8)
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
![RS=9y+5](https://tex.z-dn.net/?f=RS%3D9y%2B5)
Substitute 8 for y:
![RS=9(8)+5](https://tex.z-dn.net/?f=RS%3D9%288%29%2B5)
Multiply:
![RS=72+5](https://tex.z-dn.net/?f=RS%3D72%2B5)
Add:
![RS=77](https://tex.z-dn.net/?f=RS%3D77)
Do the same for ST:
![ST=3y+7](https://tex.z-dn.net/?f=ST%3D3y%2B7)
Substitute 8 for y:
![ST=3(8)+7](https://tex.z-dn.net/?f=ST%3D3%288%29%2B7)
Multiply:
![ST=24+7](https://tex.z-dn.net/?f=ST%3D24%2B7)
Add:
![ST=31](https://tex.z-dn.net/?f=ST%3D31)
Answer:150
Step-by-step explanation: you see what makes 550 200 plus what 350 then it equal 550 then you see 200 plus what equals 350 150 so that is a 150%