We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
Answer:
We can't seee the whole problem...
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
If you simplify what the question is saying, it's basically..
8 is 24% of <u>what number?</u>
To find out, you can simply set up an equation.
((24% = 0.24 as a decimal (move the decimal point two times to the left))
8 = 0.24 x N (N is just the 'whole')
To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.
The question says to round to the nearest whole number, so the answer would just be 33.
Answer:
Yes. Felix is correct.
Step-by-step explanation:
Find out how much ml does a can of lemonade have, I would assume its 330ml since I searched up the ml of a lemonade can.
Find out how much cans of lemonade there are in 2 packs of 8.
2 packs = 8 x 2 = 16 cans of lemonade
Now find out how much ml 16 lemonade cans equal to.
1 can of lemonade = 330ml
16 cans of lemonade = 330 x 16 = 5280ml
Now let's find 5 bottles of 1 litre.
1 litre x 5 = 5 litres.
5280 = 5 litres and 280ml
So Felix is correct about 2 packs of 8 cans is more than 5 bottles of 1 litre.
Answer:
Step-by-step explanation:
1. 5x-2=3x+4
+2 +2
2. 5x=3x+6
-3x -3x
3. 2x=6
/2 /2
x=3
