Answer:
n = 20
Step-by-step explanation:
If we call "a number" <em>n</em>, the equation modelling that statment is:

Now, if we have one whole thing - 5/5 - and add 1/5 of that thing, we'll have a total of 6/5 of it. By that same logic, 1/5 of n + 5/5 of n = 6/5 of n. We can write that fact as

So, we slice this number <em>n</em> up into 5 equal parts, we take 6 of those slices, and that gets us a total value of 24. What would the value of just 1 slice - a single fifth of <em>n</em> - be? Well, we'd just need to divide 24 by 6 to find that

And if 1/5 of something is 4, that whole thing, 5/5, must be 5 × 4, or 20! Writing that step out in symbols, we have

So n = 20.
Answer:
C
Step-by-step explanation:
Since they're the same factor being raised to a power. Treat them as a log of 2.
Log² 48 - 38
Log² 2
= 2²
Answer:
35 different arangements can be made
Step-by-step explanation:
Answer:
Step-by-step explanation:
8x + 2 + 70 + 60 = 180 {angle sum property of triangle}
8x + 132 = 180
8x = 180 -132
8x = 48
x = 48/8
x = 6
Answer:
4.5
Step-by-step explanation:
Given the data :
Score, x ____: 1, 2, 3, 4, 5, 6, 7, 8
Frequency, F : 1, 5, 1, 4, 4, 1, 5, 1
This is a grouped data: The mean of a grouped data is given as :
Mean (xbar) = ΣFx / ΣF
ΣFx = (1*1)+(2*5)+(3*1)+(4*4)+(5*4)+(6*1)+(7*5)+(8*1) = 99
ΣF = (1+5+1+4+4+1+5+1) = 22
Mean (xbar) = ΣFx / ΣF = 99 / 22 = 4.5