Hello :
<span>X - y = 4...(1)
x + y = 8...(2)
(1)+(2) :2x= 12
</span><span>The x-coordinate of the solution to the system shown is __6___.</span>
In the fairest school 70% are below 16 years old
1/3 are teachers which is equals to = 21
Let’s start solving:
=> 1/3 of 100%
=> 100 / 3 = 33.33%
thus 33.33% = 21
=> 21 x 3 = 63, is the total number of people in the school.
Let’s try solving the number of people below 16 years old
Have you notice that you are asking for a 70% of students but there are already 33.33% of teacher. Thus your given problem is not right already.
=> 100% - 33.33% = 66.67% that’s the only remaining percentage and not 70%
=> 63 * .6667 = 42.0021
Thus, there are around 42 people who are 16 years old younger.
First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.
44x + 58y = 2232
The second equation can come from the fact that 9 more skis were rented than snowboards.
y = x - 9
Therefore our system is:
44x + 58y = 2232
y = x - 9
Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.