Answer:
D. -2x - 8
Step-by-step explanation:
1) Simplify 1/3(6x+15) to 6x+15/3
-6x+15/3 - 3
2) Factor out the common term 3.
-3(2x+5)/3 - 3
3) Cancel 3.
-(2x+5)-3
4) Remove parentheses.
-2x-5-3
5) Collect like terms.
-2x+(-5-3)
6) Simplify
-2x-8
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
Based on given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
Step-by-step explanation:
Sample 1 for female
Sample 2 for male
Confidence = 90%
Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees = µ₁- µ₂
So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.
Answer:
an equilateral triangle
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
the perimeter of a triangle = sum of the side lengths
An equilateral triangle is a triangle with three equal sides. the distance travelled her all equal to 10 miles.
