Answer:
t=6
Step-by-step explanation:
Answer:
276 Guests
Step-by-step explanation:
Calculation to determine how many guest were at the wedding
Guests that choose beef =1/3
Guests that choose chicken= 5/12
Guests that choose vegetarian=69
Now let calculate the how many guest were at the wedding
Let x represent the numbers of guest that were present at the wedding
Hence,
x/3 + 5x/12 + 69 = x
9x/12 + 69 = x
12x/12 - 9x/12 = 69
3x/12 = 69
x/4 = 69
x=69*4
x = 276 guests
Therefore the numbers of guests that were at the wedding is 276
Answer:
Isosceles
Step-by-step explanation:
In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).
Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.
The distance formula is the following:

so now we can find the desired distances, let's start with the distance between P and Q:

which yields:

next, let's find the distance between P and R:

which yields:

and finally the distance between Q and R:

which yields:

As you may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.
Answer:
smart dot company c=.50t+12
communication plus c=2.50t
Step-by-step explanation:
smart dot has the starting point of $12 per month already so that would be your y-intercept with the equation being y=mx+b , y being the cost m being the amount of money per hour, x being the time spent, and b being the starting cost.
So with that smart dot would be c=.50t+12
with communication plus not having that starting point it would just be c=2.50t
Answer:
h(-8)= -14
Step-by-step explanation:
h(-8)= -2(-8 + 5)^2 + 4
h(-8)= -2(-3)^2 + 4
h(-8)= -2(9) + 4
h(-8)= -18 + 4
h(-8)= -14