The width of the driveway is 5x-2.
The height of the carport is 6x+1.
We complete polynomial long division for both of these.
For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x². It goes in 5x times; we write this in the division problem above 43x. Multiplying back through,
5x(x+9) = 5x²+45x. This goes below 5x²+43x. We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier. Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times. This goes beside our 5x in our answer at the top. Multiplying back through,
-2(x+9) = -2x-18. This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.
For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³. It will go 6x times; write this above -8x. Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x. Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18. Bring down the -3.
Now we want to see how many times 8x² will go into 8x². It goes 1 time; write this beside our 6x at the top. Multiplying back through,
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down. When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
i will bite - this is not a complete ans but an approximation:
there are 100*99*98 ways to pick 3 different no. out of 100
if 2 of the no. picked are >10, then there is no way the third no. can be larger than the products of the other 2 nos.
there are 90*89*98 ways to pick 2 nos between 10 and 100 and a third no. between 1 and 100.
So an approximate ans = 100*99*98 - 90*89*98 = 185220 but the actual ans will be smaller than this.
Ok, so what you want to do, is to start by adding the values together. So, she read an average of 36 pages for the first three days. So, you will multiply 36 by 3. Then, you will have 44 pages for the next three days, or 44 * 3. And finally, you have the last 10 pages. So, it is (36 * 3) + (44*3) + 10. So, 36 times 3 is 108, and 44 times 3 is 132. So, you now have 108 + 132 + 10. Add all of those values together, and your final answer is
250.
If you simplify, it equals 10.82e.
