Answer:
240 = w (2w − 4) (w − 1)
Step-by-step explanation:
Volume of a rectangular prism is width times length times height.
V = wlh
Given:
V = 240
l = 2w − 4
h = w − 1
Substituting:
240 = w (2w − 4) (w − 1)
Percentage of students that are girls in the class = 60%
Number of girls in the class = 18
Let us assume the total number of students in the class = x
Then
60% * x = 18
(60/100) * x = 18
6x/10 = 18
6x = 18 * 10
6x = 180
x = 180/6
= 30
So the total number of students in the class is 30.
Number of boys in the class = 30 - 18
= 12
So there are 12 boys in the class. I hope the procedure is simple enough for you to understand.
Answer:
e = 2
Step-by-step explanation:
7(2e - 1) - 3 = 6 + 6e
14e - 7 - 3 = 6 + 6e
14e - 10 = 6 + 6e
14e - 6e - 10 = 6
8e - 10 = 6
8e = 6 + 10
8e = 16
8e/8 = 16/8
e = 2
Recheck:
7(2e - 1) - 3 = 6 + 6e
7(2(2) - 1) - 3 = 6 + 6(2)
7(4 - 1) - 3 = 6 + 12
7(3) - 3 = 18
21 - 3 = 18
18 = 18 ✅
The verbal expression for 7 to the third power is 343
36 and 100 are both divisible by 4 which gives 9 over 25. That's all you can do to simplify it.
Hope this helps!