Answer:
(3, -1)
Step-by-step explanation:
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
X=t-yz and we are asked to solve for y so, subtract t from both sides
x-t=-yz divide both sides by -z
(x-t)/(-z)=y
y=(x-t)/(-z) multiply the numerator and denominator by -1
y=(t-x)/z
<u> 24 </u> <u> 36 </u> <u> 60 </u>
<u>1</u> × 24 <u>1</u> × 36 <u>1</u> × 60
<u>2</u> × <u>12</u> <u>2</u> × 18 <u>2</u> × 30
<u>3</u> × 8 <u>3</u> × <u>12</u> <u>3</u> × 20
<u>4</u> × <u>6</u> <u>4</u> × 9 <u>4</u> × 15
<u>6</u> × <u>6</u> 5 × <u>12</u>
<u>6</u> × 10
GCF(24, 36, 60) = 12
