Help me write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Each large pizza feeds about 5 people and each small pizza feeds about 1 person.

Step-by-step explanation:

Let's say L for 'Large pizza' and S for 'Small pizza'.

We know that:

Last week = 3S + 2L = 13 playersThis week = 3S + 4L = 23 players

Work:

3S + 2L = 13

        3S + 4L = 23

-2L = 13 - 23=> -2L = -10=> 2L = 10=> L = 5

Now, let's substitute the value of L into the first equation.

3S + 2L = 13=> 3S + 2(5) = 13=> 3S + 10 = 13=> 3S = 13 - 10=> 3S = 3=> S = 1

Hence, each large pizza feeds about 5 people and each small pizza feeds about 1 person.

Hoped this helped.

Answer: 10pi

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

Just divide the x axis (the top) by 2 or multiply the y axis (the bottom) by 2