Answer: z = 3
Step-by-step explanation: To solve this equation for <em>z</em>, we can first combine our like terms on the left side of the equation. Since 12 and 7 both have <em>z</em> after their coefficient, we can subtract 12z - 7z to get 5z.
Now we have 5z - 2 = 13.
To solve from here, we add 2 to the left side of the equation in order to isolate 5z. If we add 2 to the left side, we must also add 2 to the right side. On the left side, the -2 and +2 cancel out. On the right, 13 + 2 simplifies to 15.
Now we have 5z = 15.
Solving from here, we divide both sides of the equation by 5 to get <em>z</em> alone. On the left side, the 5's cancel out and we are simply left with <em>z</em>. On the right side, 15 divided by 5 simplifies to 3 so we have z = 3.
Answer:
1,2,3,4,6,8,12,16,24,32,48
Step-by-step explanation:
Answer:A is the correct answer
Step-by-step explanation:
Let x represent the number of female students that are left handed. There are 5 times as many right handed female students as there are left handed female students. This means that the number of female students that are right handed is 5x
Let y represent the number of male students that are left handed. There are 9 times as many right handed male students as there are left handed male students. This means that the number of male students that are right handed is 9x
The total number of left handed students is 18. Therefore
x + y = 18
The total number of right handed students is 122. Therefore
5x + 9y = 122 - - - - - - - - - -1
Substituting x = 18 - y into equation 1, it becomes
5(18 - y) + 9y = 122
90 - 5y + 9y = 122
- 5y + 9y = 122 - 90
4y = 32
y = 32/4 = 8
x = 18 - y = 18 - 8
x = 10
Total number of right handed female students is 5×10 = 50
Total number of right handed students is 122.
Probability that a right handed student selected at random is a female will be
50/122 = 0.4098
approximately 0.410
