Answer:
y
Step-by-step explanation:
First you would find y because two or more of the numbers have it. Then you would be able to solve for x
Answer: x = 0 y = –3
Step-by-step explanation:
We can solve this system by substitution.
use the second equation as a value for x.
Then substitute that value in place of x in the first equation and solve for y.
6x - 5y = 15 becomes
6(y + 3) - 5y = 15 Distribute 6 × parentheses
6y + 18 - 5y = 15 combine like terms
6y -5y + 18 = 15
y + 18 = 15 Subtract 18 from both sides.
y =15 -18
y = –3
Use this value for y in either equation to solve for x
6x - 5(-3) = 15
6x + 15 = 15 Subtract 15 from both sides, divide by 6 (seems silly!)
x = 0
OR in he second equation,
x = -3 + 3
Again, x = 0
Mean: $620, Mode: $600
Let's sort the rank stats.
First quartile: $580
Median: $610
Third quartile: $645
85th percentile: $685
OK, we're ready. What happened to a and b?
c. $645 is the third quartile, 75th percentile. That means 25% of the salaries are higher.
Answer: 25%
d. $685 is the 85th percentile, 15% greater.
Answer: 15%
e. The mean is the sum of all the salaries divided by the count.
Mean = Sum / Count
So the sum is the count times the mean,
Sum = Count × Mean = 100 × $620 = $62,000
Big payroll.
Answer: $62,000
Answer: Smaller side = 14ft
middle side = 33ft
Larger side = 37ft
Step-by-step explanation:
This triangle has 3 sides, defined by the variables:
S = length of the smallest side.
M = length of the middle side.
L = length of the larger side.
And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.
We also know that:
M = 5ft + 2*S
L = 3*S - 5ft
84ft = S + M + L.
The first step is to replace the first and the second equation into the third, so we can solve it for S.
84ft = S + (5ft + 2*S) + (3*S - 5ft)
84ft = 6*S
84ft = 6*S
84ft/6 = 14ft = S.
Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:
M = 5ft + 2*S = 5ft + 2*14ft = 33ft
L = 3*S - 5ft = 37ft
