6 is the greatest common factor of 12 and 30
Answer:
1/3
Step-by-step explanation:
The number of people over 40 is 20 + 30 + 35 = 85.
So the probability is 85/255, which reduces to 1/3.
Think of it as a triangle. 20 is the height, 5 is the side. Use the Pythagorean Theorem to find the diagonal distance. 20 squared, or 400, plus 5 squared, or 25, is 425. Now square root that. It's around 20.6. However, they might just ne asking an addition question, since you can't go through solid blocks...
1. 5x - 7 = 48
5x = 48 + 7 = 55
x = 55/5 = 11
2. 7n - 2 = 54
7n = 54 + 2 = 56
n = 56 / 7 = 8
3. -4y + 7 = -21
-4y = -21 - 7 = -28
y = -28 / -4 = 7
4. x/2 + 5 = 12
x/2 = 12 - 5 = 7
x = 7 * 2 = 14
5. x/3 - 7 = 13
x/3 = 13 + 7 = 20
x = 20 * 3 = 60
6. -7 - 2 = 33 <- did you type this wrong?
-7x - 2 = 33
-7x = 33 + 2
-7x = 35
x = 5
7. -3x - 8 = -41
-3x = -41 + 8 = -33
x = -33 / -3 = 11
8. 3n - 7 = 35
3n = 35 + 7 = 42
n = 42 / 3 = 14
9. 7y + 9 = -47
7y = -47 - 9 = -56
y = -56 / 7 = -8
10. -8x + 4 = 68
-8x = 68 - 4 = 64
x = 64 / -8 = -8
11. 4n - 7 = -43
4n = -43 + 7 = -36
n = -36 / 4 = -9
12. 5x - 7 = 108
5x = 108 + 7 = 115
x = 115 / 5 = 23
13. 8 - 5w = -37
-5w = -37 - 8 = -45
w = -45 / -5 = 9
14. 42 = 18 + 4n
4n = 42 - 18 = 24
n = 24 / 4 = 6
15. 70 - 6x = 40
-6x = 40 - 70 = -30
x = -30 / -6 = 5
The answer is B, or y - 6 = 3/4 (x - 4). To put (-4, 6); m = 3/4 in point-slope form, you first start with the point-slope form equation which is y - k = m (x - h). The ordered pair that it wants you to put in is (-4, 6). To figure out where the ordered pair goes, you replace the variables (h, k) with (-4, 6). The h will always be the point on the
x-axis and the k will always will be the point on the y-axis. Putting these together, you now get y - 6 = m (x - 4). As the same in slope-intercept form, or y=mx+b form, the slope in this equation is m. In this equation, m = 3/4. So, the equation in point-slope form is y - 6 = 3/4 (x - 4).
