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Llana [10]
3 years ago
9

A homeowner is installing a swimming pool. You have been asked to install a circuit to operate a 600-watt underwater light and a

circulating pump. The motor nameplate reveals that the pump has a current draw of 8.5 amperes. The devices are considered continuous duty. Can the power to operate both of these devices be supplied by a single 20-ampere circuit?
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

The answer is given below

Step-by-step explanation:

The loads in the circuit are continuous duty, so the circuit can only loaded to 80% of its current rating.

Calculate 80% current rating of the circuit breaker.

Icb = [ 80/100] (20 A)

     =  (O.8) (20 A )

     = 16 A

Now we assume that the value of supply voltage is 120 V

Now we will calculate current flows via under water light which will be taken as  Load 1

<em>Ii = </em>500 W/120 V

  = 4.167 A

Current via the circulating pump which will be taken as Load 2 IS 8.5 A

<em>I = </em>load1 + load 2

<em>    = 4.167 A + 8.5 A</em>

<em>   = 12.67 A</em>

The total current in the circuit obtained which is less than the circuit breaker rating current. Therefore, the power can be operated for both the loads.

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5 0
2 years ago
4x2 + 9y2 = 72<br> 2x - y = 4<br><br> Which of the following is a solution to the system shown?
Ede4ka [16]
If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
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10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
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1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
5 0
3 years ago
Please help ASAP really need this
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Answer:

21.79 + c \leq 25

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Step-by-step explanation:

21.79 + c \leq 25 is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.

To solve, first subtract 21.79 from both sides to get: c \leq 3.21. This means that Joshua can spend up to 3.21 on a card.

Hope it helps!

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Answer:

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Step-by-step explanation:

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Which ordered pair does NOT lie on the graph of h(x)=-2x + 7
goblinko [34]

Answer: A (-2, 3)

Step-by-step explanation:

1. To know which oredered pairs does not lie on the graph, you must substitute the x-coordinate of each one of thm into the function and if you obtain the y-coordinate shown in that ordered pair, then that point lies on the graph.

2. Therefore, you have:

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Therefore, the answer is the option A.

5 0
2 years ago
Read 2 more answers
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