Used to find the total number of outcomes with coumpound events

Mathematics

1 answer:

Dahasolnce [82]3 years ago

5 0

F<span>undamental Counting Principle (FCP) is the answer </span>

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2/3 of the sum of three times a number and six is 10. what is the number?

mestny [16]

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

2x +4 = 10 . . . . . . use the distributive property

x +2 = 5 . . . . . . . . divide by 2

x = 3 . . . . . . . . . . .subtract 3

The number is 3.

<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

6x +12 = 30 . . . . . . . eliminate parentheses

6x = 18 . . . . . . . . . . . subtract 12

x = 3 . . . . . . . . . . . . divide by 6

3 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (4, -9)(4,−9) and (8, -3) ?(8,−3)? Write your answer in simplest fo

faltersainse [42]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

I am assuming that you mean (4,−9) and (8, -3).

$m=\frac{rise}{run}=\frac{-3+9}{8-4}=\frac{6}{4}=\boxed{\frac{3}{2}}$

Hope this helps.

6 0

3 years ago

Read 2 more answers

Please help me. I'm stupid.

Gwar [14]

Answer:

$\displaystyle 36\:units$

Step-by-step explanation:

Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

$\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = 10^2 \\ \\ 36 + 64 = 100 \\ \\ 100 = 100$