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3 years ago

Please help math is hard!

Mathematics

2 answers:

CaHeK987 [17]3 years ago

8 0

Answer: The answer is 306

Step-by-step explanation: Given that a baker mixes pounds of sugar for every pound of butter to begin making frosting. The baker uses 357 pounds of butter and sugar to start the frosting.

Anna71 [15]3 years ago

5 0

9514 1404 393

Answer:

(a) 306 pounds

Step-by-step explanation:

The ratio of sugar to the total is ...

sugar : (sugar + butter) = (2 1/4) : (2 1/4 + 3/8)

= (18/8) : (18/8 +3/8) = 18 : 21 = 6 : 7

Then the amount of sugar in the baker's initial is ...

(6/7) × 357 = 306 . . . . pounds

Additional comment

If you realize that 2 1/4 is much more than 3/8, then you realize most of the mix is sugar. Of the answer choices, the only one that is most of 357 pounds is the first one: 306 pounds. That is the correct choice. In other words, your sense of the quantities involved is sufficient to answer the question, without any math.

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Answer:

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Step-by-step explanation:

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

Power capacity of the wind farms = 2,500 Megawatts or 2.5 Gigawatts

2. Let's resolve the questions a and b:

Part A

Assuming wind farms typically generate 35% of their capacity, how much energy, in kilowatt-hours, can the region's wind farms generate in one year?

2,500 * 0.35 = 875 Megawatts

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

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875,000 * 24 = 21'000,000 kilowatt-hours per day

21'000,000 * 365 = 7,665'000,000 kilowatt-hours per year

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 (7,665'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

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4 years ago

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$E=z^{*} \frac{\sigma}{ \sqrt{n} }$
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