Answer: 16⅔ yds by 25 yds
Step-by-step explanation:
Let x be the length of 3 fence sections
Let y be the length of 2 fence sections
A = xy
3x + 2y = 100
y = 50 - 1.5x
A = x(50 - 1.5x) = 50x - 1.5x²
dA/dx = 50 - 3x
0 = 50 - 3x
3x = 50
x = 50/3 = 16⅔ yds
y = 50 - 1.5(16⅔) = 25 yds
45machines:20mins
20mins=1/3hour
45machines:1/3hour
times 3
135machins=1hour
135machines per hour
B. 30 in 15
15=1/4 hour
30=1/4hour
times 4
120machines per hour
both produce for 2 hours
A. is 135*number of hours, B is 120 times number of hours
135*2+120*2=
270+240=
510
make 510 machines in 2 hours
You want to write this equation in the form (x+...)(x+...) (maybe with a minus sign). To do this, find numbers that, when multiplied, give 16, and when added give -10.
What whole numbers give 16?
1*16 and -1*-16
2*8 and -2*-8
4*4 and -4*-4
Which of these solutions, when changed into a sum, give -10?
Try them one by one and find it is:
-2-8 = -10.
So (x-2)(x-8) is the factorization!
This is really a bit of trial and error, but since most of the time the assignments deals with whole numbers, there aren't that many possibilities.
Answer:
s = 1/t - 1/r
Step-by-step explanation:
1/r+s=1/t
Subtract 1/r from each side
1/r - 1/r+s=1/t- 1/r
s = 1/t - 1/r
D I think I’m so sorry if it’s not
