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Tamiku [17]
3 years ago
5

A farmer owns 30 acres of land on which he wishes to grow corn and barley. The cost per acre for seed corn is $30, and the cost

per acre for barley seed is $20. The farmer can invest a maximum of $600 in seed for the two crops. During the cultivation process, the farmer needs to spray fertilizers and insecticides specific to each crop. This costs $10 per acre for corn and $15 per acre for barley. He can invest only $400 in this process.
Part A: Write the two inequalities that are deciding factors for the number of acres of each crop the farmer will plant, based on the amount of money the farmer will spend on planting and cultivating the two crops.
Part B: Replace the inequality signs in the two inequalities with equal signs. Plot a graph representing the two equations choice of how much of each crop to grow using the Edmentum Graphing Tool and paste it into the box below.
Part C: Should the lines be dotted or solid? Give reasons for both lines. What area should be shaded?
Mathematics
2 answers:
pickupchik [31]3 years ago
7 0

Answer:

prt a. 30c + 20b ≤

prtb. 5,23

prtc. solid,both equations were less than or equal to some value (non-strict inequality), which means that the boundary value (i.e., the line) is also included in the solution set.

The shaded should be below both lines and above both axes.

Step-by-step explanation:

Yuri [45]3 years ago
4 0

Answer:

Step-by-step explanation:

The farmer makes 3.58$

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Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

∴ The cost of making and packaging x beaded necklace is $15x

Total Cost = 95+15x

Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

95+15x+500\leq35x

595\leq50x

⇒ x\geq11.9=12

Hence,  to make a profit of at least $500 she must sell at least 12 necklaces



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3 years ago
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Answer:

The mean of X is 122.5 and the standard deviation is 7.9.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not believe this. The probability of an adult believing this is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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The expected value of the binomial distribution is:

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In this problem, we have that:

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3.) (4, 9) and (9, 5)
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