Answer:
x=9.5
Step-by-step explanation:
In order to find the answer, we know that 6x + 4x - 5 = 90
Next we want to combine like terms: 10x - 5 = 90.
Now we have to add 5 to 90 in order to get x on its own. 10x = 95
Now solve for x by dividing 95 by 10: x=9.5
Find the factors
The factor is -2
Finally equation:
(x-2)(x-2)
Answer:
This is the answer, let me know if something isn't clear
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
Answer: 58.4
Step-by-step explanation:
63 - 4.60 = 58.4
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