Answer:
b. x + (x + 2) + (x + 4) = 39
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2). For example, 1, 3, 5, 7 are all positive odd numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive odd integers</u>
Let x be the first odd integer.
As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).
Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive odd integers is thirty-nine" is:
x + (x + 2) + (x + 4) = 39
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 39
⇒ x + x + 2 + x + 4 = 39
⇒ 3x + 6 = 39
⇒ 3x = 33
⇒ x = 11
Therefore, the three consecutive odd numbers are 11, 13 and 15.
Answer:
<h2>Option 2 is the right answer.</h2>
Step-by-step explanation:
We need to check if the two characteristics, <u>having blue eyes and being deaf are independent of each other or not</u>.
The above two characteristics will be independent if ![[Probability of being deaf with blue eyes] = {Probability of being deaf } {Probability of having blue eyes}](https://tex.z-dn.net/?f=%5BProbability%20of%20being%20deaf%20with%20blue%20eyes%5D%20%3D%20%7BProbability%20of%20being%20deaf%20%7D%20%7BProbability%20of%20having%20blue%20eyes%7D)
Now, the probability of having blue eyes is
.
The probability that the Dalmatians will be deaf is
.
The probability of being deaf with blue eyes is
.
Since, 38 is not equals to 42, the two characteristics are not independent.
Answer:
When ordering fractions, you don't only have to take in account for the numerator, you also have to take into account the denominator, whereas with whole numbers, you only have to take into account the numerator. Also, in a fraction, you have to make sure the denominators are the same before ordering them.
I hope this is help full to you
Answer:
672
Step-by-step explanation:
the factors of 84 are 3 2 2 7
the factors of 96 are 2 2 2 2 2 3
the factors of the lowest common multiple will be 2 2 2 2 2 3 7