idontknowhowtodivide

Thanks to Guest for giving this problem a shot, but Melody's solution was correct! Thanks so much, I probably would've never noticed that pattern if it weren't for your solution

Factor as (x+2)(y+3)-6=115, thus (x+2)(y+3)=11^2 so x+2=11 and y+3=11, so x=9 and y=8 so x+y=17.

The solution was 408:

We can factor this into (a - b - c ) * (b - c - a) * (b - c + a)=0, so a = b + c, b = a + c, or c = a + b.

Since each number is an integer from 1 to 17, we can choose 2 values for a and b and then use the formula a = b + c, then c will only have one possible value after that. We do 17 choose 2 = 136 for this, then multiply by 3 for all of the respective equations. Doing the math, 3 * 136 = 408.

That was incorrect, can you please try again?

9216 kilometers

Are you able to explain why?

Let's set up some variables here. Let x be your money, and b be your brother's money.

If you give your brother five dollars, the equation will be x - 5 = b + 5.

However, if your brother gives you 14 dollars, you can set up the equation x + 14 = 2(b-14) because you have twice as much as him.

Now we have the system of equations:

x - 5 = b + 5

x + 14 = 2(b - 14) = 2b-28 ==> x + 14 = 2b - 28

Using substitution in the first equation, x = b + 10. Now we can solve for b:

b + 10 + 14 = 2b - 28 ==> b + 24 = 2b - 28

Subtract b on both sides and add 28 and get:

52 = b. Therefore, your brother has 52 dollars.

If \(f(x) = 2/x + 1,\) then we can plug in -1/5 as x into the equation to get 2/(-1/5)+1 = -10+1 = -9

The amount that Brian spent is 1/10 of his total paycheck, so we know that 1/10 of the paycheck is 3 dollars, since he spent only half of the remaining money. Therefore, if m is the total money he has, 1/10*m=3, so m is 30 dollars.

Last week, he completed 2/5 of the levels. This week he completes the remaining amount of games times 1/3, which is (3/5*1/3)=1/5. Therefore, he has 2/5 of the total levels remaining. If g is the total games, we have that 2/5*g=24, so g=24*5/2=60 total games.