I believe the answer might be:
x = 28/19
Steps:
Expand
3(5 - x)/2 - 4(3 + 2x)/5
-3x + 15 - 8x + 12
------------ -----------
2 5
Find the LCD for the equation above:
(15-3x) * 5 - (12+8x) * 2
------------- --------------
10 10
Now we combine them since the denominators are equal:
5(-3+15) - 2(8x+12)
--------------------------
10
We expand above:
-31x+51
-----------
10
Answer:
7/4 inches
Step-by-step explanation:
Longest bean sprout = 8/8 + 8/8
Longest bean sprout = 1 + 1
Longest bean sprout = 2
Shortest bean sprout = 2/8
Difference = 2 - 2/8
Difference = (16-2)/8
Difference = 14/8
Difference = 7/4
Hence the distance is 7/4 inches
Answer: See Annex
z (max) = 190
x = 10
y = 20
Step-by-step explanation:
z = 5*x + 7*y to maximize
Subject to:
x + y ≤ 30
2*x + y ≤50
2*x - y ≥ 0
x≥= y ≥0
X+y=23
X-y=7.4
X+y=23
y=23-X
X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8
X+y=23
X+7.8=23
X=15.2
Therefore the two numbers are 7.8 & 15.2
6/100 • 30 = 1.8
1.8 + 30 = 31.8
Answer is $31.8