2.5x + 4x = 39
6.5x = 39
x = 39 / 6.5
x = 6
Answer:
Step-by-step explanation:
So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540
Then it is algebra
540=91+125+92+(3x-5)+(4x-8)
Simplify what you can and collect like terms
540=308+3x-5+4x-8
540=308+7x-13
Then move everything over to the one side so that the variable is isolated
540-308+13=7x
245=7x
242/7=x
35=x
Each variable used is the first letter of each of their names.
t+b+c=87
c=2t
b=t+7
Substitute for b and c
t+ (t+7)+2t= 87
4t+7=87
4t=80
t=20
Plug in the known t value.
c=2(20)
c=40
b=20+7
b=27
Final answer: Tammy=$20, Boris= $27, Carlos=$40
Answer:
Relative frequency of male nonparticipation is O.42
Step-by-step explanation:
Figure 1 is your partially filled frequency table.
1. Complete the table
(a) Total No
Total Yes + Total No = Total
102 + Total No = 187
Total No = 187 - 102
= 85
(b) Female No
Male No + Female No = Total No
40 + Female No = 85
Female No = 85 - 40
= 45
(c) Female Yes
Female Yes + Female No = Female Total
Female Yes + 45 = 95
Female Yes = 95 - 45
= 50
(d) Male Yes
Male Yes + Female Yes = Total Yes
Male Yes + 50 = 102
Male Yes = 102 - 50
= 52
(e) Male Total
Male Yes + Male No = Male Total
52 + 40 = Male Total
Male Total = 92
Figure 2 shows the completed table.
2. Frequency of Male No
There are 92 males, of whom 40 do not participate in an after-school activity.
The relative frequency of male nonparticipation is
40/92 = 0.43