100,000,000 ÷ 100,000 = 1,000
1,000 days.
We have a total set of 15 people, we need to arrange them in 4 spots, where each individual must be unique. Therefore we have:
There are 32760 possible solutions.
We then need to choose 12 appetizers from a set of 16 appetizers, where each individual appetizer must be unique, so we have:
There are 871782912000 possible solutions.
Answer:
y-y1 = m (x-x1)
where
m is the slope
and (x1,y1) is one of the points given.
You have been given 2 points (-12,8) and (9,1). You can call one of them (x1,y1) and the other (x2,y2). It doesn't matter which one is which.
But before we go further, we need to determine the slope.
We can do this from the points as well.
y2-y1
m = ---------
x2-x1
Let's say
(x1,y1) = (-12,8)
(x2,y2) = (9,1)
This gives us a slope of
y2-y1 1-8 -7 -1
m = --------- = ---------- = ---- = ---
x2-x1 9-(-12) 21 3
Now that we have everything we need
y-8 = (-1/3)[x-(-12)]
Distribute the -1/3
y-8 = (-1/3)x -4
If we add 8 to both sides we have the equation in the slope intercept form (y=mx+b)
y = (-1/3)x + 4
To determine the graph that corresponds to the given inequality, first, let's write the inequality for y:
Add 3 to both sides of the expression
Divide both sides by 5
The inequality is for the values of y greater than or equal to 2/5x+3/5, which means that in the graph the shaded area will be above the line determined by the equation.
Determine two points of the line to graph it:
-The y-intercept is (0,3/5)
- Use x=5 to determine a second point
The second point is (5,13/5)
Plot both points to graph the line. Then shade the area above the line.
The graph that corresponds to the given inequality is the second one.
Answer:
Dasher spent $120, Prancer spent $240, and Cupid spent $360
Step-by-step explanation:
Divide 720 by 2 and you get 360, which was cupids total. There is 360 left. Subtract 360 by 240 because Dasher spent half as much as prancer did. You get 120, which is Dasher's total. The 240 you subtracted is Prancer's total.