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Lady bird [3.3K]
4 years ago
6

Help Please(pre algebra)

Mathematics
1 answer:
miv72 [106K]4 years ago
7 0
Where’s the problem?
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The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
PLEASE HELP!! Points A, B, and P are collinear on segment AB, and AP: AB = 1/4. A is located at (8,4) and B is located at (4,12)
artcher [175]

Answer:

(7,6)

Step-by-step explanation:

plz mark as brainliest if it helps

3 0
3 years ago
Imaginary numbers <br> (-3-5/)(-3+5)<br> Answer choices:<br> 1. 34<br> 2. 34-30i<br> 3. -16
lisabon 2012 [21]

Answer:

the answer to the question is -16

7 0
3 years ago
What are the measures of the missing angles x°, y° of a regular triangle if one angle measure equals 60°?​
MArishka [77]

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

x=60

So each interior angle measurement of the regular triangle is 60 degrees.

3 0
3 years ago
If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find h
CaHeK987 [17]

Answer:

He is 20 at oldest, or x\leq 20

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

4 0
3 years ago
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