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Delvig [45]
3 years ago
15

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value

of A?
Answer for Blank 1:
Mathematics
2 answers:
motikmotik3 years ago
4 0

Answer: -2

Step-by-step explanation:

I got it right on the test

Andrews [41]3 years ago
3 0
<span>(x + 6y) − (3x − 10y)
= x + 6y -3x + 10y
= -2x + 16y 

Value of A: -2</span>
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Answer:

B) 69°

Step-by-step explanation:

The missing measure is supplementary angle of 111° which means their sum is equal to 180°

180 - 111 = 69.

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A
tatuchka [14]

Alright, lets say the measure of the 3rd angle (the smallest one) is  x degree, then measure of the 1st angle will be (x + 25) degree, and 2nd one: 3x degree. The sum of all the angles in any triangles is 180 degrees.

(x + 25) + 3x + x = 180

5x + 25 = 180 ---> 5x = 180 - 25 ---> 5x = 155 ---> x = 155/5 ---> x = 31o (third angle)

31 + 25 = 56o (first angle)

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Ned has scored 84 points in the first 6 games of the basketball season. How many points per game has Ned scored?
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Ned must have scored an avg. of 14 points per game in his 6 games total.
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sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

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