Answer:
1. Typed question: 175 green eggs
2. Attached: 22 tables
Step-by-step explanation:
For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.
4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.
Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

Now let's solve for x:

For your attached problem:
You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.
175 ÷ 8 = 21.9 tables
Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)
21.9 ≅ 22 tables.
Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:


And its value is 180:

Multiplying by 2:

Operating:

Factoring:

The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
There are 2 choices for 1 goalie, 4C2 possible combinations for the 2 defence and 6C3 combinations for the 3 forward. Therefore the total number of different lineups is found from:

There are 240 possible different lineups.