Answer:
24 cups of cherries and 40 cups of watermelon.
Step-by-step explanation:
3 + 5=8
64 divided by 8 = 8
3x8= 24
5x8= 40
24 + 40 = 64
You will take 100 = 15.5x - 7 and solve.
the end product comes out to be 6 = x or (OCD is kicking) x = 6.
hope this helps (; hmu if u need more info
Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
Answer:
Variables:
→ The number of hours the worker worked
→ The number of shirts the worker made.
System fo equations:
Step-by-step explanation:
Let be the number of hours the worker worked and the number of shirts the worker made.
Since:
- Jason must pay the worker $25 per hour (which can be represented with
). - He must pay $1.75 per shirt for material costs (which can be represented with
). - The total expenses were $270.
You can write the following equation:
Knowing that the worker created an average of 5 shirts per hour, you can write the other equation:
Therefore, with this equations you can set up the following system of equations, which could be used to determine the number of hours the worker worked and the number of shirts the worker made:
