5(4x-1) = 80
20x - 5 = 80
20x - 5 + 5 = 80 + 5
20x = 85
20x/20 = 85/20
X = 85/20
X = 17/4 if reduced to lowest terms by dividing both the top and bottom number by 5.
Answer:
Here is a generic way to set up this type of algebra problem.
d = total amount of dirt at the site (tons)
r = rate or removal (tons/hr)
t = time it takes to remove all of the dirt (hr)
d = rt
The total amount of dirt equals the removal rate times hours spent removing all the dirt.
Since you want to solve for t, divide both sides by r
t = d/r
Answer:
critical value = 1.645
The 90% confidence interval = ( -22.62, -17.58)
Step-by-step explanation:
Given that:
the sample size
= 178
the sample size
= 226
the sample mean
= 54.4
the sample mean
= 74.5
population standard deviation
= 18.58
population standard deviation
= 9.52
level of significance ∝ = 1 - 0.90 = 0.10
The critical value for
is 1.645
For the construction of our confidence interval, we use 90% since that is used to find the critical value.
∴
The margin of error = 



2.52
The lower limit = 
= ( 54.4-74.5) - (2.52)
= -20.1 - 2.52
= -22.62
The upper limit = 
= ( 54.4-74.5) + (2.52)
= -20.1 + 2.52
= -17.58
The 90% confidence interval = ( -22.62, -17.58)
Answer:
Step-by-step explanation:
The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.
<u>Solution:</u>
We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).
First, area of pink rectangle:
Area = length * height
Area = 5 * 5.7
Area = 28.5
Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)
Lower Rectangle Area = length * height = 4 * 2 = 8
Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8
So, blue region area = 8 + 8 = 16
<u>Total Area = 28.5 + 16 = 44.5 sq. ft.</u>
This question is a simple answer just combine the like terms.
Your final answer is: 3x+2y+2