Answer:
- 16 acres of barley only (no acres of wheat)
Step-by-step explanation:
A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...
(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}
The profit associated with these scenarios will be ...
for (0, 16): 16·350 = 5600
for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550
To maximize profit, the farmer should plant 16 acres of barley.
Answer:
1:15 2:12 3:9 5:3
Step-by-step explanation:
All you have to do is plug in the # under the letter x , and plug it into the equation. For example 18 - 3 x 1 , is just saying what is 18 - 3 . Another example would be 18 - 3 x 2 . the equation is simply just 18 - 6 . Just plug in the x numbers in the equation. Hope my answer helped , and good luck! : )
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
Answer:
- 3
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
