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3 years ago

A farmer is able to prepare 1/2 are of soil in 3 days. How long will it take him to prepare 2 1/4 acres of soil?

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

x = 13 1/2 days

Step-by-step explanation:

1/2 acre 2 1/4 acre

------------ = -------------------------

3 days x days

using cross products

1/2 * x = 2 1/4 * 3

change 2 1/4 to an improper fraction (4*2+1)/4 =9/4

1/2 x = 9/4*3

1/2x = 27/4

multiply each side by 2

2 * 1/2 x = 27/4 * 2

x = 27/2

change back to a mixed number

x = 13 1/2

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Write the two conditional statements that make up the following biconditional.

Yuri [45]

The correct answer is A. <span>If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.

This answer is an if-and-only-if conditional statement.
The other options are not.</span>

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3 years ago

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A 35-year-old G3P3 woman requests contraception. Her youngest child is seven years old. Her periods have been regular since she

Olin [163]

Answer:

E. Deep venous thrombosis

Step-by-step explanation:

According to a different source, these are the options that come with this question:

A. Depression

B. Smoking history

C. Severe nausea on combined oral contraceptives

D. Lactation history

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This woman would be a good candidate for the progestin-only pill because of her deep venous thrombosis, as contraindications to estrogen include a history of thromboembolic disease. Other contraindications include women who are lactating, women over 35 who smoke or women that have experienced severe nausea when using combined pills.

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3 years ago

you are considering 2 jobs. one job pays $250 per week, plus 4.5% commission on all sales. The second job pays $1,800 per month

Hoochie [10]

The correct answer is A. Not only does $250 a week equal $1000 a month but the commission is also higher.

first job: $250wk = $1000 Month + .045 commission
= $12000 year + .045 commission
second job = $1800 Month + .03 commission
= $21600 year + .03 commission
commission based on sales of $1,000,000

1,000,000 times .045 = $45000
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3 years ago

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solmaris [256]

Answer:

a) 1/2

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Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .