9/16 is the original fraction. 9+3 = 12 and 16-1 =15. 12/15 = 4/5
When they work together, it takes John 1/x hours and it takes Brian 1/(x+15) hours to complete 1/4 of the model.
1/x + 1/( x+15 ) = 1/4 / · x ( x+15 )
x+15 + x = x ( x+15 ) /4 / · 4
8 x + 60 = x² + 15 x
x² + 15 x - 8 x - 60 = 0
x² + 7 x - 60 = 0
x² + 12 x - 5 x - 60 = 0
x · ( x + 12 ) - 5 ·( x+ 12 ) = 0
( x + 12 ) · ( x - 5 ) =0
x = - 12 ( not accepted ) or x = 5
The time taken by Brian: 5 + 15 = 20 hours
Answer:
12 x^4 y^2
Step-by-step explanation:
6x^2y^2 and 12 x^4 y
First find the least common multiple of the coefficients
6 and 12
12 is the smallest number that they both go into
Then find the least common multiple of the x terms
x^2 and x^4
x^4 is the smallest that they both go into
Then find the least common multiple of the y terms
y^2 and y
y^2 is the smallest that they both go into
The least common multiple is
12 x^4 y^2
Answer:
√(r+n)/5=m
Step-by-step explanation:
r=5m²-n
adding n on both sides
r+n=5m²-n+n
r+n/5=m²
taking square root on both sides
√(r+n)/5=m
Answer:
120,000
Step-by-step explanation:
Rounded to the nearest thousand would be the 3rd digit from the left and since 699 is over half a thousand, you round up so you get 120,000