<span>Let n = the number of nickles
Let q = the number of quarters
Then for your problem we have
(1) n + q = 43 and
(2) 5*n + 25*q = 100*6.95 (always work in cents to avoid decimal numbers) or
(3) 5*n + 25*q = 695
Now substitute n of (1) into (3) and get
(4) 5*(43 - q) + 25*q = 695 or
(5) 215 - 5*q + 25*q = 695 or
(6) 20*q = 695 - 215 or
(7) 20*q = 480 or
(8) q = 24
Then using (1) we get
(9) n + 24 = 43 or
(10) n = 19
Let's check these values.
Is (.05*19 + .25*24 = 6.95)?
Is (.95 + 6.00 = 6.95)?
Is (6.95 = 6.95)? Yes
Answer: Kevin and Randy have 19 nickles and 24 quarters in the jar.</span>
Answer:
25 = x
Step-by-step explanation:
Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...
0 = 8x - 200 ... add 200 on both sides
200 = 8x ... divide both sides by 8
25 = x
Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.
The diameter of the circle is 11.8 units
<h3>How to determine the diameter of the circle?</h3>
The circle equation is given as:
(x - 2)^2 + (y + 6)^2 = 35
A circle equation is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where
Diameter = 2r
By comparing both equations, we have
r^2 = 35
Take the square root of both sides
r = 5.9
Multiply by 2
2r = 11.8
Hence, the diameter of the circle is 11.8 units
Read more about circle equation at:
brainly.com/question/10618691
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