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Answer:
x ≤ 3
Step-by-step explanation:
Given:
4x + 6 ≤ 18
Subtract 6 from both sides:
4x ≤ 12
Divide both sides by 4:
4x/4 ≤ 12/4
x ≤ 3
Answer:
A number line with an open circle on −2, a closed circle on 5, and shading in between
Step-by-step explanation:
solve it you get x>-2
and 3x <=15
x<=5
so its close on 5 and open on -2
4^(12-4x)=256 realize that 256 is 4^4 so we really have:
4^(12-4x)=4^4 taking the natural log of both sides
(12-4x)ln4=4ln4 dividing both sides by ln4
12-4x=4 subtract 12 from both sides
-4x=-8 divide both sides by -4
x=2
The smaller the length u can figure out and if u can't put a small square in the cornorn
Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
