MATHEMATICS
HIGH SCHOOL

= 24 ÷ 6 x 4

= 24 ÷ 24

= 1

Answer: When doing the order of operations and you are put in a situation where you do two different operations, solve the problem from left to right.

In this case instead of doing 6*4 first do 24/6 first.

In this case instead of doing 6*4 first do 24/6 first.

HIGH SCHOOL

The game of heads up is played by flipping two coins. If they both land heads up, you win $8. If only one lands heads up, you win $14. If no coins land heads up, you win $0. If you pay $6 to play the game each time the coins are flipped, is the game a fair game? Why or why not?

The game of heads up is played by flipping two coins. The game is a fair game

Solution:

Given that , the game of heads up is played by flipping two coins.

If they both land heads up, you win $8.

And If only one lands heads up, you win $14.

And If no coins land heads up, you win $0.

We have to pay $6 to play the game each time the coins are flipped,

Then we have to find is the game a fair game

Now, we say a thing is fair if it is favorable for us.

From players view, to say the game is fair, we have to get money.

Now, if we see

When we pay $6, we will lose it only when no heads are up as we get $0 in that condition.

But we will get 14 – 6 = $8 when one head turns up and 8 – 6 = $2 when both heads are up.

Now, number of outcomes for losses = 1 (tail – tail condition)

Probability =

And number of outcomes for winnings = 3 (head - tail, tail – head and head – head conditions)

Probability =

Clearly we can say that, chances of winnings are more.

Hence, it is an fair game.

HIGH SCHOOL

Question 11 of 20 : Select the best answer for the question. 11. Find the value of x in the equation 2(x – 3) + 5x = 5(2x + 6). A. 2 B. –12 C. 12 D. –2

To answer this question, you need to know the rules to move a number to the left or right side of the equal sign. To solve this, you need to move all the x into one side, and then move the number into another side. The calculation would look like this:

2(x – 3) + 5x = 5(2x + 6)

2x -6 +5x = 10x +30

2x+ 5x - 10x = 30 +6

-3x= 36

x= 36/-3= -12

2(x – 3) + 5x = 5(2x + 6)

2x -6 +5x = 10x +30

2x+ 5x - 10x = 30 +6

-3x= 36

x= 36/-3= -12

I got -12

2(x-3)+5x=5(2x+6)

2x-6+5x=10x+30

7x-6=10x+30

-3x=36

2(x-3)+5x=5(2x+6)

2x-6+5x=10x+30

7x-6=10x+30

-3x=36

MIDDLE SCHOOL

Which equation could be used to find the length of the hypotenuse? 5 cm

8 cm

o 5² +8² = c²

o 5²+0²= 8²

o c² – 5² = 8²

O 8²_5² = 0²

5^2 + 8^2 =c^2 is the answer

explanation

Pythagoras theorm a^2+b^2=c^2

both 5 and 8 can be either be a or b

Answer:

a or b

Step-by-step explanation:

MIDDLE SCHOOL

F(x) = 5x + 10

g(x) = 3x² + 10x + 6

Find: f(x) · g(x)

Answer:I don't quite understand what your asking. But if you need to graph the following equations, use symbolab or desmos. I can graph it for you , if you need me to just let me know.

Step-by-step explanation:

Desmos.com/graphing symbolab.com