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Answer:
10 / 9
Step-by-step explanation:
[ 28 - 3 ( 2 + 4 ) ] / 9
= [ 28 - 3 ( 6 ) ] / 9
= [ 28 - 18 ] / 9
= 10 / 9
A,C,D,C,B I think that’s correct
Answer:
119
Step-by-step explanation:
I believe you meant the question to be "
+ 1 /
, if m - 1 / m = 3. "
I presume that we want to take this second equation at hand here, and " simplify " it further. After doing so this first expression will have a value with respect to the simplified value of the equation, and, plugging in it's value we can solve for the expression (
+ 1 /
. )
m - 1 / m = 3 - Take each value squared on either side of the equation,
- Simplify,
If you don't know how to expand expressions such as the one in the third step, "
" here is a quick recap. Remember that
. Therefore,
![( m - 1 / m )^2 = m^2 - 2( m )( 1 / m ) + ( 1 / m )^2,\\( m - 1 / m )^2 = m^2 - 2 + 1 / m^2](https://tex.z-dn.net/?f=%28%20m%20-%201%20%2F%20m%20%29%5E2%20%3D%20m%5E2%20-%202%28%20m%20%29%28%201%20%2F%20m%20%29%20%2B%20%28%201%20%2F%20m%20%29%5E2%2C%5C%5C%28%20m%20-%201%20%2F%20m%20%29%5E2%20%3D%20m%5E2%20-%202%20%2B%201%20%2F%20m%5E2)
Now let's continue,
- Add 2 on either side,
![m^2 + 1 / m^2 = 11](https://tex.z-dn.net/?f=m%5E2%20%2B%201%20%2F%20m%5E2%20%3D%2011)
_______________
So now we have the " simplified equation " as you can say, for the equation. Let's " simplify " the expression now,
- Substitute the value of 11,
![m^4+1/m^4 = 75+4(11),\\m^4 + 1 / m^4 = 119](https://tex.z-dn.net/?f=m%5E4%2B1%2Fm%5E4%20%3D%2075%2B4%2811%29%2C%5C%5Cm%5E4%20%2B%201%20%2F%20m%5E4%20%3D%20119)
Solution = 119
Answer:
Assume the pair of dice are fair; if not, all bets are off!
Color one die green (G) and the other one red (R). There are 36 possibilities in throwing one green and one red die, eg (G1, R1), (G1, R2), etc; (G2, R1), (G2, R2), etc; etc; (G6, R1), (G6, R2), etc.
In the set of possible numbers from throwing a die, there are only 3 possibilities that sum to to 4: (G1, R3), (G2, R2), (G3, R1).
So the answer is 3/36, or one-twelfth.