The coordinate of point N after the dilation is N' = (-8/3, 8/3)
<h3>Dilation of coordinates</h3>
Dilation is a transformation technique for changing the size of an object using a scale factor.
Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:
N' = (2/3(-4), 2/3(4))
N' = (-8/3, 8/3)
Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)
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If all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of each person equally.
Given that,
sixteen slices of pizza are distributed in a society of four people so that one person receives eight slices, the second person receives six slices, the third receives two, and the last receive no pizza.
if no person wants to give up the pizza he or she has but they all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of is to be explained.
<h3>What is arithmetic?</h3>
In mathematics, it deals with numbers of operations according to the statements.
Here,
If all agree, that each of one should get an equal number of slices, then it can be concluded that each of them should pay an equal amount for the 4 pizzas.
Thus, if all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of each person equally.
Learn more about arithmetic here:
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3/x=36
Multiply both sides by x
3=36x
Then divide both sides by 36
3/36=x
1/12=x
Final answer: 1/12
Answer:
$80,000
Step-by-step explanation:
<u>Define the variables</u>:
Let x = "fish-flavored" chicken company investment (in dollars)
Let y = spray-on vitamins company investment (in dollars)
If Allen invested a total of $100,000:
⇒ x + y = 100000
Given:
- 3% profit on "fish-flavored" chicken investment
- 1% profit on pray-on vitamins investment
- Total profit = $2,600
⇒ 0.03x + 0.01y = 2600
Rewrite the first equation to make y the subject:
⇒ y = 100000 - x
Substitute into the second equation and solve for x:
⇒ 0.03x + 0.01(100000 - x) = 2600
⇒ 0.03x + 1000 - 0.01x = 2600
⇒ 0.02x + 1000 = 2600
⇒ 0.02x = 1600
⇒ x = 80000
Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.
