Answer:
Simplifying
3k(k + 10) = 0
Reorder the terms:
3k(10 + k) = 0
(10 * 3k + k * 3k) = 0
(30k + 3k2) = 0
Solving
30k + 3k2 = 0
Solving for variable 'k'.
Factor out the Greatest Common Factor (GCF), '3k'.
3k(10 + k) = 0
Ignore the factor 3.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:
Simplifying
k = 0
Solving
k = 0
Move all terms containing k to the left, all other terms to the right.
Simplifying
k = 0
Subproblem 2
Set the factor '(10 + k)' equal to zero and attempt to solve:
Simplifying
10 + k = 0
Solving
10 + k = 0
Move all terms containing k to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + k = 0 + -10
Combine like terms: 10 + -10 = 0
0 + k = 0 + -10
k = 0 + -10
Combine like terms: 0 + -10 = -10
k = -10
Simplifying
k = -10
Answer:
The first equation is correct
Step-by-step explanation:
Answer: Girls: 20
Boys: 30
Step-by-step explanation: 40% of 50 is 20, which means there are 20 girls.
Subtract 50-20 to get the number of boys, which is 30.
It's 2/11 because all the others round to 1/2.
Answer:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
