Answer:
A. 5
Step-by-step explanation:
The marginal benefit of an article, 
is calculated as:
Where 
is the change in the total benefit of the article, and 
is the change in the units of the article.
If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.
In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so and are equal to:
Then, the marginal benefit of watching the third game is:
Hello,
To find the scale factor, we have to look at what's going on in the problem.
In point A, we are converting from (5, 3) to (7.5, 4.5).
We can write and solve equation to find the change (scale factor)
5x = 7.5 and 3x = 4.5
If you solve either equation, you will find the scale factor is 1.5.
Good luck,
MrEQ
Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
Answer:
0.87
Step-by-step explanation:
If you divide 21÷24, you would get 0.87. The ratio is 87%, ignore the 0
