This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.
9x+12=5x+4
9x-5x=12-4
4x=8
x=8/4
x=2
It’ll be divided by -1/2 for each number
Answer:
Step-by-step explanation:
(im presuming this is a triangle)
65 + 45 = 110°
angles in a triangle add up to 180°
180 - 110 = 70°
x = 70°
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