Step-by-step explanation:
I think we have to find the factors so
3x2 + 42x + 105
First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42
So 45 and 7
3x2 + 45x - 7x + 105
3x( x + 15) - 7(x - 15)
(3x - 7) and ( x - 15) are the factors
There is a problem please recheck the question
Question is: how many 84s will fit in 5376? Let's think about some easy multiples:
84 * 100 = 8400, so it's too big
84 * 10 = 840, so it might work
84 | 5376 | 10
-840
84 | 4536 | 10
-840
84 | 3696 | 10
-840
84 | 2856 | 10
-840
84 | 2016 | 10
-840
84 | 1176 | 10
-840
84 | 336
We can't fit any more 840 in 336, so we check how many 84s are in 336 and what's the remainder:
84 | 336 | 4
- 336
So there's no remainder. Now we add all the partial quotients to get the final result:
10 + 10 + 10 + 10 + 10 + 10 + 4 = <u>64
</u>It's correct, I checked it with calculator. I just hope you'll be able to read something from that, it's quite difficult to do partial dividing with no pencil and paper :)
Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
Answer:
45/100 = 0.45
Step-by-step explanation:
Divide 9 by 20.
9/20 = 0.45
Now write 36/100 as a decimal.
36/100 = 0.36
Write 45/100 as a decimal: 0.45
Answer: 45/100 = 0.45