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Doss [256]
3 years ago
8

A farmer plants twice as many acres of wheat as corn on his land. If he plants no more than 36 acres, what is the greatest numbe

r of acres that can be used for corn? 12 acres 18 acres 24 acres 3 acres
Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer: 12 acres could be planted (at most)

Step-by-step explanation: Since there will be twice as many acres of wheat in  comparison to the corn, out of the total 36 acres at least 24 of those will need to be wheat. That leaves 12 acres left for the corn.

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What is the price per lb of brand X coffee if 3 lb were mixed with 9 lb of brand Y coffee which costs $18/lb to make 12 lb of Ka
Georgia [21]

Answer:

$14 per lb

Step-by-step explanation:

Given:

  • Brand Y = $18 / lb
  • Special Blend = $17 / lb

Let x be the price per lb of brand X coffee

3 lbs of brand X coffee + 9 lb of brand Y coffee = 12 lbs of special blend

⇒ 3x + 9(18) = 12(17)

⇒ 3x + 162 = 204

⇒ 3x = 42

⇒ x = 14

Therefore, brand X costs $14 per lb

4 0
2 years ago
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S_A_V [24]
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4 0
2 years ago
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U
alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0
3 years ago
The ratio of red marbles to blue marbles is 3:5. If there are 360 marbles total in the collection, how many of each color are th
kari74 [83]

Answer:

135 red and 225 blue

Step-by-step explanation:

8 0
3 years ago
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Type your answer in the box. <br><br> r = 3 d = 5
polet [3.4K]

Answer:  8.5

Step-by-step explanation:

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7 0
2 years ago
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