Let x be he length of middle piece.
3x = length of longer piece.
x-5 = length of shortest piece.
x + 3x + x-5 = 40
5x - 5 = 40
5x = 45
x = 45/5
x = 9. ( Size of middle piece )
Given that the longer piece is 3 times the size of middle piece,
Longest piece = 3 x 9 = 27.
Size of longest piece = 27 feet
Size of middle piece = 9 feet
Size of smaller piece = 40 - (27+9)
= 40 - 36
= 4 feet.
Thank you.
Hello there!
The Distributive Property allows us to multiply the number outside of the parenthesis by all inside numbers.
An example;
2(3 + 4)
2(3) + 2(4)
6 + 8
14.
Let's apply this to our current expression.
9(V + 5)
9(v) + 9(5)
9v + 45 is your expression.
I hope this helps!
Answer:
2.897
Step-by-step explanation:
Let us find the mean and variance for the sample first.
105 104 110 112
114 106 108 109
Mean = sum/8 = 108.5
Variance = 12
Std dev = sq rt of variance = 3.464
Std error = std dev/ sq rt n
since n =8, we get std error = 1.225
Since sample size is small, df =8-1 =7
For 95% confidence intervals, t critical value for two tailed=2.365
Margin of error = std error x t critical = 1.225(2.365)
=2.897
Step-by-step explanation:
Q: Solve for x
g = c + x
g - c = x