Answer:
5x + 3y = 2
5x - 3y = -22
Step-by-step explanation:yes
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
final solution:
This includes 0.45*52l= 23.4 l acid
Let's assume:
- amount of 15% solution= x
- amount of 25% solution= y
- amount of 70% solution= z
- and we have z=2y
so there are 2 equation:
or
- x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
- 0.15x+1.65y=23.4
- 0.15*(52-3y)+1.65y=23.4
- 7.8-0.45y+1.65y=23.4
- 1.2y=23.4-7.8
- 1.2y= 15.6
--------
- x= 52- 3*13= 13 l
- z= 2y= 2*13= 26 l
Isolate x. First, add 2/5 to both sides
x - 2/5 (+2/5) = 1/3 (+2/5)
x = 1/3 + 2/5
to simplify, find common denominators (15 in this case). Multiply the same number to both the denominator and numerator
(1/3)(5/5) = 5/15
(2/5)(3/3) = 6/15
x = 5/15 + 6/15
Simplify
x = 11/15
11/15 is your answer for x
hope this helps
the unscented candles burn faster at a rate of (1/3) inches/ hour
Step-by-step explanation:
scented candles:
(1/12) / (20/60) = 1/4 inches/ hour
unscented candles:
(1/6) / (30/ 60) = 1/3 inches/ hour
hope it helps!
