Answer:
18.3125
18.5635
18 13/16
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
Move all x terms to the same side- x/2-x/3-1/2
Multiply to get common denominator- 3x/6-2x/6=1/2
Subtract 3x/6 and 2x/6 - x/6=1/2
Simplify - x=3
Melanie walked 2.2 miles. Cathy walked 1.75 times as far. This means that you need to do 2.2 * 1.75 which equals 3.85. To find how much further, do 3.85 - 2.2 which equals 1.65. Therefore Cathy walked 1.65 more miles than Melanie.
Given:
The expression is:

It leaves the same remainder when divided by x -2 or by x+1.
To prove:

Solution:
Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).
Let the given polynomial is:

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that
...(i)
Substituting
in the given polynomial.


Substituting
in the given polynomial.



Now, substitute the values of P(2) and P(-1) in (i), we get




Divide both sides by 3.


Hence proved.
Answer:
t < 1.5
Step-by-step explanation:
Mon-Thu: 5.5 hours
each of the remaining 3 days: t hours each day
total time: 3t + 5.5
The total time must be less than 10 hours.
3t + 5.5 < 10
3t < 4.5
t < 1.5