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.
The equation that can be used to find the number of wolves in the state on January 1 is w - 23 = 84
<h3>How to represent a situation with an equation?</h3>
A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier.
The equation that can be used to find the number of wolves in the state on January 1 can be calculated as follows:
where
- w = number of wolves in the state January 1.
Therefore, the equation to represent the situation is as follows:
w - 23 = 84
learn more on equation here: brainly.com/question/7411234
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Answer:
scale factor 1.5 or 1 1/2
Step-by-step explanation:
15/2 is the same as 15÷2 and 15÷2=7.5
now we need to turn 5 into 7.5
to do that lets multiply by 5(1.5) or 5(1+0.5) (the 5 on the outside of the parenthesis means to multiply it by all on the inside)
and we get 5+2.5 or 7.5
so the scale factor is 1.5 or 1 1/2
To solve for how much it would cost, we have to solve for the volume of the slab first, then multiply it by the given price of concrete.
Solving for the volume of the slab:
Since the given price is in cubic yard, it is easier to convert the given measurements from feet to yards first. Using the relation: 1 ft = 0.333 yd:
17 ft = 5.67 yards
2 ft = 0.67 yards
17ft x 17ft x 2ft = 5.67 yd x 5.67 yd x 0.67 yd = 21.54 yd^3
Multiplying this by $40.00 / yd^3:
21.54 x 40 = 861.59
Therefore, it will cost $861.59 to pour the slab.
