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2 answers:
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Answer: This coil will not be enough to complete the job.
Step-by-step explanation:
The circumference of the coil of wiring can be calculated with:
Where r is the radius and
The radius can be calculated by dividing the diameter by 2. Then:
Convert 9 inches to yards (1 yard=36 inches):
Substitute this radius into the formula:
Since there are 21 circles of wire, you need to multiply by 21:
The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.
Solve for x (isolate/get x by itself)
Add 5 on both sides
Subtract 1/4x on both sides
Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x
Multiply 8 on both sides
-16 = x