1st number = n
2nd number = n+1
3rd number = n+2
sum of the squares of 3 consecutive numbers is 116
n² + (n+1)² + (n+2)² = 116
n² + (n+1)(n+1) + (n+2)(n+2) = 116
n² + [n(n+1)+1(n+1)] + [n(n+2)+2(n+2)] = 116
n² + n² + n + n + 1 + n² + 2n + 2n + 4 = 116
n² + n² + n² + n + n + 2n + 2n + 1 + 4 = 116
3n² + 6n + 5 = 116 Last option.
5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.
3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.
Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is
(3 L) / (8 L) = 0.375 = 37.5%
Distance = sqrt [ (7.5 - -3.0)^2 + (-7.5 - .5)^2) ]
= sqrt 17,226.56 = 131.25 (answer)
Answer:
m=17
Step-by-step explanation:
Complementary means they add to equal 90 degrees.
1) 90-A=36
2)36=2x+2
3) Subtract 2 from both sides, 34=2x
4) Divide by 2 17=x
Answer:

Step-by-step explanation:
First, begin by multiplying
by its reciprocal.
To do this, flip the fraction upside-down.
The resulting equation looks like this: 
Cancel out the two 27's and you are left with
, which you can simplify to q.
Next, multiply -3 by
. Remember, what you do on one side, you must do on the other.
Your equation should look like this:

The final answer is
.
Have a nice day!