<span>7/8 - 1/4 = 7/8 - 2/8 = 5/8</span>
If 12 is shaded out of 18 then the fraction is 12/18. We then need to simplify it to get 2/3.
The answer is D) 2/3
Answer:
x= -15
Step-by-step explanation:
Answer:
c = 100, a = 50, s = 20
Step-by-step explanation:
following information is missing from the question
6c + 7a + 2s = 990
3c + 3a + 4s = 430
2c + 4a + 4s = 480
If you solve the equation by putting in the values given in the option you will deduce that only option d matches LHS to the RHS
Lets see how,
6c + 7a + 2s = 990
where, c = 100, a = 50, s = 20
6(100) + 7(50) + 2(20) = 990
600 + 750 + 40 = 990
990 = 990 hence true
2c + 4a + 4s = 480 where, c = 100, a = 50, s = 20
2 (100) + 4 ( 50) + 4 (20) = 480
200 + 250 + 80 = 480
See for the other option too with the same steps done above to have a more clear understanding :)
Answer:
We have to prove,
(A \ B) ∪ ( B \ A ) = (A U B) \ (B ∩ A).
Suppose,
x ∈ (A \ B) ∪ ( B \ A ), where x is an arbitrary,
⇒ x ∈ A \ B or x ∈ B \ A
⇒ x ∈ A and x ∉ B or x ∈ B and x ∉ A
⇒ x ∈ A or x ∈ B and x ∉ B and x ∉ A
⇒ x ∈ A ∪ B and x ∉ B ∩ A
⇒ x ∈ ( A ∪ B ) \ ( B ∩ A )
Conversely,
Suppose,
y ∈ ( A ∪ B ) \ ( B ∩ A ), where, y is an arbitrary.
⇒ y ∈ A ∪ B and x ∉ B ∩ A
⇒ y ∈ A or y ∈ B and y ∉ B or y ∉ A
⇒ y ∈ A and y ∉ B or y ∈ B and y ∉ A
⇒ y ∈ A \ B or y ∈ B \ A
⇒ y ∈ ( A \ B ) ∪ ( B \ A )
Hence, proved......
