Solution for x^2+5x=150 equation:
<span>Simplifying
x2 + 5x = 150
Reorder the terms:
5x + x2 = 150
Solving
5x + x2 = 150
Solving for variable 'x'.
Reorder the terms:
-150 + 5x + x2 = 150 + -150
Combine like terms: 150 + -150 = 0
-150 + 5x + x2 = 0
Factor a trinomial.
(-15 + -1x)(10 + -1x) = 0
Subproblem 1Set the factor '(-15 + -1x)' equal to zero and attempt to solve:
Simplifying
-15 + -1x = 0
Solving
-15 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15
Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15
Combine like terms: 0 + 15 = 15
-1x = 15
Divide each side by '-1'.
x = -15
Simplifying
x = -15
Subproblem 2Set the factor '(10 + -1x)' equal to zero and attempt to solve:
Simplifying
10 + -1x = 0
Solving
10 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10
Combine like terms: 0 + -10 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10Solutionx = {-15, 10}</span>
Answer:
answer is 80
Step-by-step explanation:
7200 / 90 = 80
Ratio of their bases = 
Ratio of their altitudes = 
<u>Step-by-step explanation:</u>
For first rectangle, it was given that
Base 1 = 12 inches
Altitude 1 = 6 inches
For the second rectangle, it was given that
Base 2 = 10 inches
Altitude 2 = 5 inches
Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.
Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.
Ratio of their bases =
Ratio of their altitudes =
Answer:
18
Step-by-step explanation:
make a ratio relation:
3 trainers : 12 dogs
x trainers : 72 dogs
3/12 = x/72
solve for x, and you get 18
