Answer:
n (A' U B ) = 75
Step-by-step explanation:
Here, given : n(U)=120, n(A)=45, and n(B)=50
As we know:
n (A ' U B) = n(A) − n (A∩B) ... (1)
Here, n(A) = 45
So, n( A') = n(U) - n(A) = 120 - 45 = 75
⇒ n(A') = 75
Now, as given A and B are disjoint sets.
⇒ n (A ∩ B) = Ф
So, (A' U B ) = A'
So, n (A' U B ) =n( A') = 75
⇒ n (A' U B ) = 75
simplify and combine like terms
The problem is asking us to combine like terms, which in this case are 1/4b and 4/3b. After finding a common denominator and adding these terms, we get 19b/12. Including the constant term 7/12, the simplified equation is 19b/12 + 7/12.
The equation in question here is: 1/4b + 4/3b + 7/12.
To simplify and combine like terms, we firstly deal with the terms having 'b', which are like terms. We can add 1/4b and 4/3b by finding a common denominator, which in this case is 12.
So, we get (3b/12 + 16b/12), which simplifies to 19b/12
The constant term 7/12 can't be combined with the terms containing 'b', as it is not a like term. Hence, the simplified form of the equation becomes: 19b/12 + 7/12.
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Answer:
Step-by-step explanation:
Find the common denominator of 4, 3, and 12. It is 12.
1/4 = 3/12
4/3 = 16/12
7/12 = 7/12
False in a triangle 2 sides are the same and one is different.
A triangle can be formed with side lengths 2 in, 3 in, and 6 in.
According to the question
A triangle can be formed with side lengths 2 in, 3 in, and 6 in.
For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.
The sum of two smaller sides is
So, 5 inches < 6 inches
Hence, False in a triangle 2 sides are the same and one is different.
To know more about Triangles click the link given below.
it would be 21/22 or 0.954545
96 fluid ounces is lessthan 13 cups.
It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
To compare 96 fluidounces and 13 cups, we need to convert one of the quantities so that they are in the same units.
One cup is equal to 8 fluidounces.
So,
13 cups is equal to:
13 cups x 8 fluid ounces/cup
= 104 fluidounces
Now,
We can compare 96 fluid ounces and 104 fluid ounces.
Since 104 is greater than 96.
Thus,
96 fluid ounces is lessthan 13 cups.
Learn more about unitconversion here:
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