Please answer this correctly
1 answer:
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Answer:
17.) 12
18.) 1/15
Step-by-step explanation:
2 ÷
This problem is asking how many 's can go into 2 blocks. If you divide one box into 6 parts, each tiny box will be
of the whole. Divide the other box into 6 parts as well, and you will get 12 of these
parts. Check your answer by multiplying 12 by
. The answer is
which is also equal to 2.
÷ 5
For this one, think of it as we have one big box divided into thirds. We want to divide each portion by 5. So you should have 5 tiny boxes in each
which gives you a total of 15 boxes. But if we look at it as one big box divided into 15 parts, we know that each of those is
. Check your answer by multiplying
by 5 and you get
which is equal to
.
Let me know if you have any questions, and good luck!
<u>ANSWER: </u>
170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.
<u>SOLUTION: </u>
First, set up a table. Fill in the unknowns with variables x and y. The table is attached below
From this, we can easily set up the two equations.
Sum of values of two acids = Value of mixture
0.1x + 0.65y = 1122
For convenience, we'll multiply the entire equation by 100,
10x + 65y = 112200 ------ (1)
Now, Sum of amounts of each acid = Amount of mixture
x + y = 1870 ---------(2)
multiply (2) with 10 for easy calculation and derive the equation into one variable.
10x + 10y = 18700
Subtracting equation (2) from (1),
( + ) 10x + 65y = 112200
( − ) 10x + 10y = 18700
we get the solution as,
0 + 55y = 93500
Thus, 55y = 93500
y = 1700
Substituting y = 1700 in (2),
x + 1700 = 1870
x = 1870 - 1700
x = 170
So, we have x = 170 and y = 1700
We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.
