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Answer: 30
Step-by-step explanation: Free math problem solver answers your algebra homework questions with step-by-step explanations.
You visited this page on 12/2/21.
Let's assign a variable that is the number when multiplied by 10% it is equal to 0.1.
Well let that be x.
Now we want to convert the 10% into a decimal. To convert a percent into a decimal, simply move the % sign two places to the left and make it into a decimal point.
When we say "of" in mathematics what we really mean is to multiply.
0.10 * x = 0.1
That is the equation we need to find the value of x for.
Divide both sides by 0.10
0.10 * x = 0.1
The 0.10 on the left side cancels out.
x = 1
So, the answer to this question is if we multiply 10% by 1 we will get 0.1.
Answer:
- 50 ft by 75 ft
- 3750 square feet
Step-by-step explanation:
Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...
y = (300 -2x)/3
And the enclosed area is ...
A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)
This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.
The maximum area is enclosed when the dimensions are ...
50 ft by 75 ft
That maximum area is 3750 square feet.
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<em>Comment on the solution</em>
The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).
