Step-by-step explanation:
3 - 6 x ( 3/4 ÷ 3) 2
is this the correct equation? I'll solve it as long as i have the correct equation, but unsure as to if the 3 and 0 are supposed to be a fraction, decimal or multiplied etc
Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:
Let the dimension of the paper be x and y;
Such that:
So:
Substitute 128 for Area
Make x the subject
When 1 inch margin is at top and bottom
The length becomes:
When 2 inch margin is at both sides
The width becomes:
The New Area (A) is then calculated as:
Substitute for x
Open Brackets
Collect Like Terms
To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y
Set
This gives:
Collect Like Terms
Multiply through by
Divide through by 2
Take square roots of both sides
Recall that:
Recall that the new dimensions are:
So:
To double-check;
Differentiate A'
The above value is:
This means that the calculated values are at minimum.
<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>
Answer:
101 is your answer
Step-by-step explanation:
Remember to follow PEMDAS & the left->right rule.
First, multiply 12 with 13:
12 x 13 = 156
Next, divide 156 with 2
156/2 = 78
Finally, add 23
78 + 23 = 101
101 is your answer
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