Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
Answer:
the answer is B
Step-by-step explanation:
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
There are many conclusions we can come to for this!
70% of the flips were heads, and 30% are tails
28/40 was heads, and 12/40 were tails
There were more heads than tails
There were 14 more heads than tails
:)
Answer:
x=22
Step-by-step explanation:
Since the two triangles are similar we can set up two ratios...
(sorry if these numbers are wrong the picture isn't very clear)
38:15.2
We can simplify this ratio into...
2.5:1
Now we solve for x
55:x
We divide 55 by 2.5
55/2.5=22
x=22
