x+2 > 10 solves to x > 8 after we subtract 2 from both sides
So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.
Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.
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Summarizing everything, we can say...
5 is not in set A. True
5 is in set B. False
6 is in set A. False
6 is not in set B. False
8 is not in set A. True
8 is in set B. True
9 is in set A. True
9 is not in set B. False
"Bucket method"
.. (4)*(14%) + (x)*(8%) = (4 +x)*(10%) . . . . . liters and % are in each "bucket"
.. 56 +8x = 40 +10x . . . . . multiply by 100, eliminate parentheses
.. 16 = 2x . . . . . . . . . . . . . . add -40-8x, then divide by 2
.. 8 = x
8 liters of 8% lemonade should be added to make the mixture 10% lemon juice.
Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is
.
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is
.
Now the probability that both cards are diamonds is
×
=
= 0.0588235 ≈ 0.05882
Answer:
5
Step-by-step explanation:
If X equals 2, then 3 times X would be 6. This is because if a number and a variable are put together, you have to multiply them. 6-1 is 5.
Answer:
2 : 3
Step-by-step explanation:
<em>Hello fellow human!</em>
red : blue - 8 : 12
The ratio is divisible by 4 - (8/4) = 2 ; (12/4) = 3
Hence, 2 : 3