Let x = the amount of time that the third person needs to work on the job to add up to one
1 = 1/2 + 1/3 + x
1 - 1/2 - 1/3 = x
To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6:
6/6 - 3/6 - 2/6 = x
1/6 = x
The third person must work 1/6 time on the project.
Answer:
Step-by-step explanation:
50t=500(8.5)
t=10(8.5)
t=85 minutes
5.1/sin 60 = b/sin 80
cross multiply
b Sin 60 = 5.1 Sin 80
Divide both sides by Sin 60
b = 5.80
Answer:
3/2
Step-by-step explanation:
sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =
Use 
so
Your answer is ..
First,
we have to turn our mixed fractions into an improper fraction.
=4 1/8 which is 33/8(4 x 8 + 1).
Our next mixed fraction,
we have 1 1/7 which is 8/7(1 x 7 + 1).
Now, we have the get the same denominator in order to subtract.
SO, both 8 and 7 goes in to 56. So we multiply both mixed fractions to get the same denominator.
(Tip: what ever you do to do numerator, you do to the denominator; and the other way around).
33/8 : 33*7=231 and our denominator, 8*7=56
So our improper fraction now,
231/56
Our next fraction 8/7,
7*8= 56 and our numerator 8*8=64.
=64/56
So, now we subtract.
231-64= 167 and our common denominator. 167/56
Now we divide 167 by 56 which is 2 and remainder is 55.
So, you should end up with a mixed fraction, 2 55/56.
