Best Answer: Bill's time to do the whole job, B
Jeff's time, B + 5
time they actually work, 6.
6/B + 6/(B+5) = 1
6(B+5) + 6B = B(B+5)
6B + 30 + 6B = B² + 5B
B² - 7B - 30 = 0
(B - 10)(B + 3) = 0
B = 10 or B = -3, and we reject the negative solution.
the equation is based on adding the fractions of the whole job each does. if Bill takes B hours to do the whole thing and works 6, he does 6/B of the job. similarly for Jeff.
in the 2nd problem,
a = time of experienced accountant
2a = time of new accountant
10 = time each actually works
10/a + 10/(2a) = 1 ........ multiply all by a
10 + 5 = a
a = 15 hr.
M<A + m<B + m<C = 180
80 + 3x + 5 + <span>5x - 1 = 180
8x + 84 = 180
8x =96
x = 12
m<</span><span>B = 3x + 5 = 3(12) + 5 = 41
m<C = </span><span>5x - 1 = 5(12) - 1 =59
and
m<A = 80
</span><span>answer:
order from shortest to longest in ∆ABC</span><span>
AC, AB, BC
P.S.
Smallest angle, shortest side.....
Largest angle, longer side....
</span>
In constructing an inequality, you need to know the following:
1. What don't we know? How many songs can be bought? So, let x be the numbers of songs.
2. What do we know? Each songs costs $2 plus a fee for using the artist's site of $5.
3. Is there more than 1 possible solution? Yes, because there is enough money left if she only bought 1 song.
The meaning of no more than $40 means it must not exceed $40, $40 or less, or only $40.
So, song + fee can't be more than $40 and song + fee could equal to $40.
Therefore, song + fee for using an artist's site less than or equal to $40.
Final Answer: 2x+5 <= 40
