b= 81 degrees
Explanation:
A straight line is 180 degrees.
180 - 99 = 81
All the angles combined should be equal to 360, forming a circle.
14:35 is a ratio, and of-coarse, as we know, we can transform that into another way of writing a ratio:
14/35
Simplify
14/7 = 2
35/7 = 5
2:5
Answer: 2 to 5
I have to form a couple of equations in order to solve it.
let the amount of soybean in the mixture be x and that of cornmeal be y
Step-by-step explanation:
x+y = 280
y = 280 - x
x*(14/100) + y*(7/100) = 280*(12/100)
Multiplying the whole equation by 100;
14x + 7y = 3360
in this equation,put y = 280 - x
14x +7 (280-x) = 3360
14x +1960 - 7x = 3360
14x - 7x = 3360 - 1960
7x = 1400
x = 200lbs
y = 280 - x
= 280 - 200
= 80 lbs
Inorder to make a 280lbs mixture having 12% protein, we should mix 200lbs of soyabean and 80 lbs of cornmeal
Answer:
Two terms
Step-by-step explanation:
First, we have to simplify reducing the number of terms, since there are like terms
x-5+16x+4-2x-3
Eventually, you'll get 15x-4, thus there are two terms.
Please correct me if I'm incorrect, and I'll change the answer, but I hope I helped :)
Answer:
24 trees per acre
Step-by-step explanation:
Let x be the optimal tree density per acre and y be the number of bushels yield per tree
Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction
Change of x from 28 is x - 28
Change of y from 40 is y - 40
Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96
The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have
To find the maximum value of this, we can take the first derivative and set it to 0
We know this is a maxima because 
. So T is maximum when x = 24 trees per acre
