Answer: 36
Step-by-step explanation:
36 ÷ 6 = 6
Answer:
C
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
Using the intersecting chord theorem:
15 x 2 = 5 x n
Simplify:
30 = 5n
Divide both sides by 5:
n = 30/5
n = 6 m
8 x n+8 = 16 x n+2
Simplify:
8n +64 = 16n +32
Subtract 8n from both sides:
64 = 8n +32
Subtract 32 from both sides:
32 = 8n
Divide both sides by 8:
n = 32 /8
n = 4
Answer:
The bus is late 4 times in March.
Step-by-step explanation:
Solving this problem is very easy, using this formula:
20(0.2) = times late in March
(The 0.2 is the decimal form of 20%)
This is equal to 4, the times in March when the bus was late.
