Answer:
x=7
Step-by-step explanation:
ln x +ln(x+1)=ln 56
ln x(x+1)=ln 56
so x(x+1)=56
x^2+x-56=0
(x+8)(x-7)=0
x= -8 or x=7
and lnx,x>0
so x=7
Answer: Gary needs to work more than 25hours for the week to earn above $400.
Step-by-step explanation:
For Gary to be paid $50 per week means he worked $50/ $15.50= 3.23 hours for the week.
To make over $400 this week he needs to work for
400/15.50 = 25.81 hours and more for the week to earn above $400
Answer:

Step-by-step explanation:

Out of 6 wedges, Jody eats 4 wedges obviously so he eats 4/6 of the orange or to make it simple 2/3 of it
So we need to find the common multiples of 6 and 12. Which are basically the multiples of 12, since 6 is always divisible to 12. So (12, 24, 36, 48, 60, 72, 84, 96, 108) Since it is a factor of 108, we stop at 108 (since a number greater than 108 can't be a factor of 108)
Now we find the factors of 108
108=<span>1,2,3,4,6,9,12,18,27,36,54,108
The numbers in both lists are 36 and 108 but since Micah is thinking of a 2-digit number, the number she is thinking of is 36.</span>