Answer:
This the formula for the Pythagorean Theorem.
Step-by-step explanation:
This is the formula for the Pythagorean Theorem but its written in a different way but it will give you the same answer.
So first you will be given two sides which will be represented as leg a and leg b.
So you would plug in the two numbers in the equation c = square root of 18^2 + 12^2
Now you would find 18^2 which equals 324
Then you would find 12^2 which equals 144
Add them together and get 468
To get what c equals or the hypotenuse you have to find the square root of 468.
The square root of 468 is 21.633 but you round it to the nearest tenth and get 21.6
2x+y=-6 the equation has to be in slope form (y=mx+b) the first thing that you have to do is find the slope which you can do fairly easy by moving the 2x to the other side of the equation. Y=-2x-1 then you use that slope and use a different y intercept for the two lines to be parallel
4/15 = x/315
x = 84
84 members of the book club are male
0.55
Number of favorable outcome/Total number of possible outcome
24/(20+24)
Ellie:
Total spending = $36.50
Number of popcorn bags bought = 7
Number of drinks bought = 2
Morgan:
Total spending = $155.50
Number of popcorn bags bought = 9
Number of drinks bought = 14
Part 1:
If
P = Price of one popcorn bag
D = Price of one drink
Then,
For Ellie: 7P + 2D = 36.50
For Morgan: 9P + 14 D = 155.50
Set of equations:
7P + 2D = 36.5 --------(1)
9P + 14D = 155.5 ---- (2)
Part 2:
Solving equations (1) and (2)
Multiply (1) by 7 and subtract (2) from resulting equation;
49P + 14D = 255.5
9P + 14D = 155.5
-------------------------
40P = 100
P = 100/40 = 2.5
From eqn (1),
7*2.5 + 2D = 36.5
17.5 +2D = 36.5
2D = 19
D = 19/2 = 9.5
Therefore,
Bag of popcorn costs $2.50