This is interesting. You cannot turn 1/4 or 2/4 or 3/4 into a mixed number because they are proper fractions. Perhaps ask your teacher about it? Or just rewrite the fractions as is and state they are in proper form.
Same with 7. They are each simplified already. I would suggest asking your teacher.
When we do the additive inverse property...we want to end up with a 0...so the inverse of 7 is -7 and the inverse of -8 is +8....we now have our new expression
-7 + 8
-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Answer:
2x-y=-1
Step-by-step explanation:
y + 9 = 2(x + 5)
y + 9 = 2x + 10 [distribute]
y = 2x + 1 [subtract 9 from both sides]
y - 2x = 1 [subtract 2x from both sides]
-2x + y = 1 [put x first]
2x - y = -1 [multiply by -1 to make x coefficient positive]
It should be 34/5*. If you create an improper fraction out of the original one, then creating the reciprocal will be easier.
Answer:
<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of letters of the word "millennium" = 10
Letters repeated:
m = 2 times
i = 2 times
l = 2 times
n = 2 times
2. The number of different ways that the letters of millennium can be arranged is:
We will use the n! or factorial formula, this way:
10!/2! * 2! * 2! * 2!
(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)
3'628,800/2*2*2*2 = 3'628,800/16 = 226,800
<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>
