**Answer:**

**Step-by-step explanation:**

There are 15 toppings: 5 toppings are meat and 10 toppings are vegetable.

You and two friends form a group of 3 people.

Find the number of choices 3 different meat toppings:

Find the number of choices 3 different toppings:

Hence, he probability that your group orders only meat toppings is

The answer is the square root of 18 because of Pythagorean theorem

**Answer:**

4 √6

**Step-by-step explanation:**

We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:

m²+z² = (8+4)² = 12²

4²+n²=z²

8²+n²=m²

We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.

4²+n²=z²

subtract 4²=16 from both sides

z²-16 = n²

plug that into the third equation

64 + z² - 16 = m²

48 + z² = m²

subtract 48 from both sides to solve for z²

z² = m² - 48

plug that into the first equation

m² + m² - 48 = 144

2m² - 48 = 144

add 48 to both sides to isolate the m² and its coefficient

192 = 2m²

divide both sides by 2 to isolate the m²

96 = m²

square root both sides to solve for m

√96 = m

we know that 96 = 16 * 6, and 16 = 4², so

m = √96 = √(4²*6) = 4 √6

**Answer:**

The balance will compare for a very long time because they are making or taking money from their acc.

First add the fractions.

6/7 + 5/7 = 1 4/7

Then add the whole numbers

4 + 3 = 7

Then add the mixed number to the whole number

7 + 1 4/7 = 8 4/7

**Your answer is 8 4/7**