<span>1.
-x = 2 - 3x + 6
-x + 3x = 8
2x = 8
x = 8/2
x = 4
2.
</span><span>Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x </span>← wrong
The correct step: <span>Step 2: 6x − 8 = 12 + 2x
3.
</span>The next step is <span>2m = 8</span>
Ratio: 2:7
2+7 = 9
747 / 9 = 83
83*2 = 166
83 * 7 = 581
166 to 581
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the ordered pair for the center.
(x - (- 3))² + (y - 6)² = 10²
(x + 3)² + (y - 6) = 100
Say x is the number of weeks until their money is equal. Then, we can set up an equation.
400 + 25x = 250 + 75x
Subtract 250 from both sides
150 + 25x = 75x
Subtract 25x from both sides
150 = 50x
Divide by 50 on both sides
3 = x
That means the answer is 3 weeks.
