anna walks her dog at a constant rate of 12 blocks in 8 minutes, show the total time it takes to walk 12,24,36, and 48 blocks
2 answers:
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The answer is:
The explanation is shown below:
1. Cynthia rounds the number, which is identified as , to one decimal place and the result is 6.3.
2. Based on this, we know that could have been between 6.25 and 6.35. Therefore, the error interval for
is given by:
Where indicates that the value 6.25 is included and
indicates that the value 6.35 is not included (Because if
had been exactly 6.35, Cynthia would round up to 6.4).
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>
So there are 8 pints in a us gallon, 2 drops of blue to make a pint of purple (2x8x50=800) and then 3 drops of red to make purple (3x8x50=1200) I think maybe I've missed a step but (800+1200=2000) so 2000 drops of red and blue combined to make 50 gallons of purple paint.
