Answer:
Step-by-step explanation:
- 162 total guests.
- 3 servers
Let the number of guests the second server helped be x.
then the first server helped 3x
then the third server helped [(3x)*2] = 6x
Equation in total:
6x + 3x + x = 162
10x = 162
x = 16.2
- First server helped: 3 * 16.2 = 49 guests
- Second server helped: 16 guests
- Third server helped: 6x = 6(16.2) = 97 guests
Answer:
50.5
Step-by-step explanation:
Answer:
x=-8
Step-by-step explanation:
Subtract 2 from both sides
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Subtract 2x from both sides
Simplify
Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula 
square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is 
times larger than the smaller leg. In this case, these dimensions are a base of 
for the smaller leg and 
for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get 
square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!
