A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $900 on seed. If crop B brings in a profit of $50 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.
Therefore:
Since there is a total of 40 acre farm, hence:
x + y = 40 (1)
The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:
15x + 50y ≤ 900 (2)
Her profit is given as:
Profit = 50x + 110y
From the geogebra plot, the point that maximizes the profit is at (60, 0)
Therefore the maximum profit = 50(60) + 110(0) = $3000
Related Questions
Reflect AABC across the x-axis.
1. How many units away from the x-axis
is point A?
PLEASEE I REALLY NEED HELP!!!!!
Answers
The position of point A of the triangle is -4 units from the x-axis.
What is coordinate geometry?A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.
Here in the given diagram, there is a triangle ABC. The coordinates of the vertex of the triangle are,
A ( -4,2 )
B ( 1, -5 )
C ( 3,1 )
The distance of point A from the x-axis is -4 units.
To know more about coordinate geometry follow
https://brainly.com/question/30097833
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HELP PLEASE Which of these mappings is a function?
Answers
Answer:
B; x is the one that's a function because for every input there is one output. for all the other ones a x-value has two y-values and that's not function.
Step-by-step explanation:
ILL GIVE BRAINLESS HELP! Would appreciate u say how u got it
Answers
Answer:
114+18=132
Step-by-step explanation:
20 Points!
I'm Really confused on this please help.
Write three points (x, y) that exist on the line.
Answers
Answer:
3 points on the line - (.5,3) (1,2) (1.5,1)
Step-by-step explanation:
y = -2x + 4 (1.5,1)
1 = -2x + 4 subtract 4 from each side
-3 = -2x divide each side by -2
1.5 = x
y = -2x + 4 (1,2)
2 = -2x + 4 subtract 4 from each side
-2 = -2x divide each side by -2
1 = x
y = -2x + 4 (.5,3)
3 = -2x + 4 subtract 4 from each side
-1 = -2x divide each side by -2
.5 = x
Answer:
(1,2) (2,0) (3,-2)
Step-by-step explanation:
What I did to get those is plug in the numbers 1, 2, and 3 as values of X.
-2(1)+4
that gave me 2 as the Y value and now we have the coordinate (1,2).
-2(2)+4
that gave me 0 as the Y value and now we have the coordinate (2,0).
-2(3)+4
that gave me -2 as the Y value and now we have the coordinate (3,-2).
hope this helps.
will give brainliest (9th grade geometry)
If the scale factor of Figure A to Figure B is 7:2, find the perimeter of Figure A.
Answers
Answer:
122.5 units
Step-by-step explanation:
The proportion would be between the perimeters and the given ratio:
7/2 = p/p
Where P is the perimeter of the bigger figure and p is the perimeter of the smaller figure.
Remember that the perimeter is the sum of all sides, using all given values and solving for P, we have
7/2=P/9+5+9+12
7/2=P/35
7(35)/2=P
P=245/2=122.5
Therefore, the perimeter of Figure A is 122.5 units.
1234567891011121314151617181920
Answers
how much are these coins worth?
Answers
Answer:
Step-by-step explanation:
1.65
Things how much there worth
Hope it helps
Pls. Help me!!!!!!!!!!!!!!!!!!
Answers
Answer:
d i think
Step-by-step explanation:
Answer: C
Step-by-step explanation:
our points are
(0, 64) and (17, 30)
slope = 30-64/17-0 = -34/17 = -2
y=-2x+64 aka C
• The perimeter of a rectangular field is 118 meters.
• The width of the field is 19 meters shorter than the length.
What is the length, in meters, of the field?
Answers
Answer:
101 meter
Step-by-step explanation:
I think
please help asap!!!!
An airplane is flying at an elevation of 11,000 feet. The airport is 4 miles away from a point directly below the airplane on the ground. How far is the airplane from the airport? (Hint: 1 mile = 5280 feet)
Answers
Answer:
I think it would be 21120
Step-by-step explanation:
srry if im wrong, but hope this helped! also pls correct me if its wrong ty :3
Find the difference.
89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05
Answers
The x-intercept can be found by putting in zero for y. Find the x-intercept.
-3x + 5y 30
Answers
Divide the following polynomial using synthetic division, then place the answer in the proper location on the grid. Write answer in descending powers of x. (x4+81) / (x-3)
Answers
x^4-81= x^4+0x^3+0x^2+0x-81
! 1 0 0 0 -81
x+3→-3 ! -3 9 -27 81
---------------------------------------
1 -3 9 -27 0
x^3-3x^2+9x-27
Answer: x^3-3x^2+9x-27
Gabriel is 12 years old, and his younger brother Elias is 2 years old.
How old will each of them be when Gabriel is twice as old as Elias?
Answers
Gabriel will be 20, Elias will be 10
We can use an equation to map out and solve for each age.
Years gone by = x
12+x=2(2+x)
12+x=4+2x
x=8
12+8=20, 2+8 =10
Someone answer this for me
Answers
Answer:
2 3/4
Step-by-step explanation:
I think is the right answer hope it helps
What is the x-intercept of the graph that is shown below?
(-2,0)
(-1,2)
(0,4)
(4,0)
Answers
X,Y
X will always be the number of the horizontal line and Y always on vertical
Sixty-five percent of what number is 26?
Answers
Answer:
40
Step-by-step explanation:
40 x 0.65 = 26
26 ÷ 0.65 = 40
Select the correct answer.
Which statement is true?
A. In any right triangle, the sine of one acute angle is equal to the cosine of the other acute angle
B. In any right triangle, the sine of one acute angle is equal to the sine of it's complementary angles.
C. In any right triangle, the cosine of one acute angle is equal to the cosine of it's complimentary angle.
D. In any right triangle, the sum of the sine of one acute angle and the cosine of the other acute angle is 1.
Answers
Answer:
The answer is B
Step-by-step explanation: Hope this helps
Consider these functions:
f(x) = 2x3 + 3
g(x) = x – 4
What is the value of g(f(x))?
Answers
Answer:
2x^3+3-4
Step-by-step explanation:
Answer:
2x^3 - 1
Step-by-step explanation:
Plato/Edmentum
please please help i’ll give brainliest tysm:))
Answers
328/16 =20.5
[tex]answer = \frac{328}{16} = 20.5[/tex]
What is the sum of 2/7 + 2/5 ?
please help 10 points and brainlest
Answers
Answer:
2/7 + 2/5=24/35
Factorize completely 25x^2-90x+81
Answers
Answer:
Factor using the perfect square rule.
( 5 x + 9 ) ^2
HOPE THIS HELPS!!!
Step-by-step explanation:
OPEN PERENTHESIS FIVE X PLUS NINE CLOSED PERENTHESIS TO THE SECOND POWER
AB=10 and BC=20 What is AC
Answers
Answer:
6
Step-by-step explanation:
A to B is 10
B to C is 20
You add them together and you get 30. A straight line is equal to 180.
You divide 30 to 180 and you get is 6.
Twelve plus the product of twelve and a number is seventy-two.”
Answers
Steps:
12+12x=72
Minus 12 from both sides
12x=60
Divide both sides by 12
60/12=5
Find the value of the expressions when; a2+b +7 when a=5 and b=11.
Answers
If you make $60 in 8 hours, what is the unit rate? hint: what is your hourly pay?
Answers
Answer:
$7.50
Step-by-step explanation:
Answer:
60 divided by 8 is 7.5
the unit rate is 7.5 and the hourly pay is $7.50
What is the solution set of the equation 9x^2 +6x = -1
Answers
Answer:
x= -1/3
Step-by-step explanation:
9x^2+6x+1=0
(3x+1)(3x+1)
x=-1/3
Answer: x= -1/3
Step-by-step explanation: The step take to long to write It’s only 3 step but going to be long but hope this answer help
Write the recursive formula for 16,23,30,37
Answers
Answer:
Arithmetic Sequence
Step-by-step explanation:
Arithmetic Sequence
21 feet of yarn costs $42.70. What is the price per yard?
Answers
divide the numbers and you will get your answer.
The gym teacher is setting up for a field
day event where students will run
blindfolded through a series of
obstacles. To prevent injury she will
enclose the area with a nylon fence,
which can be ordered from Lowe's for
$15 a linear yard. How much will the
nylon fencing cost?
Answers
The total perimeter is 42 and 42x15=630