Answer:
8 pounds
Step-by-step explanation:
- Ratio of C:N = 30:1
- C - carbon content, N - nitrogen content
<h3>Given</h3>
- Coffee grounds = 1 pound <u>contains </u>25% C and 1% N
- Rotten vegetables = 6 pounds <u>contains</u> 10% C and 1% N
- Dry leaves = ? pound <u>contains</u> 30% C and 0.5% N
<h3>Solution</h3>
<u>Coffee grounds and Rotten vegetables together give:</u>
- 1 + 6 = 7 pounds
- C = 1*0.25 + 6*0.1 = 0.25 + 0.6 = 0.85
- N = 1*0.01 + 6*0.01 = 0.01 + 0.06 = 0.07
<u>Add dry leaves of x pounds:</u>
- Total = 7 + x
- C = 0.85 + 0.3x
- N = 0.07 + 0.05x
<u>Finding required weight of dry leaves:</u>
- (0.85 + 0.3x)/(0.07+0.005x) = 30/1
- 0.85 + 0.3x = 30(0.07 + 0.005x)
- 0.85 + 0.3x = 2.1 + 0.15x
- 0.3x - 0.15x = 2.1 - 0.85
- 0.15x = 1. 25
- x = 1.25/0.15
- x = 8.33 pounds = 8 pounds rounded to nearest pound
What grade are you in? I'm sorry but I can't help you because I don't know how to do that :(
To solve this problem you must apply the proccedure shown below:
1. You have that the equation of the ellipse is the following:
(x²/400)+(y²/256)=1
2. You have that:
((x-0)²/400)+((y-0)²/256)=1
3. Then, the center is:
(0,0)
4. The vertices are:
a²=400
a=√400
a=20
(-20,0)
(20,0)
b²=256
b=√256
b=16
(0,-16)
(0,16)
5. The focci is:
a²–c²=b²
√(400-256)=c
c=12
(-12,0)
(12,0)
Provided that the triangle looks like this:
A| \ | \ | \ | \ | \ b| \ 20 | \ | \ | \ | \ |_______40\C a B
Then using the the equation to solve for line segment AC (or b on the diagram):
sin(40) = b/20
b = 20 * sin 40
b = segment AC = 12.9 units
Answer:
n/3+10=15
Step-by-step explanation:
