Answer:
The total income of designer from this work is $1649.6.
Step-by-step explanation:
The fees charged by the designer = $1600
The commission on total sales = 8%
Total sales amount in the festival = $620
Now, 8% of $620 = 
So, the commission on total sales = $49.6
Also, Total Income of the designer = Deign Fee + 8% Commission fee
= $1600 + $49.6
= $1649.6
Hence, the total income of designer from this work is $1649.6.
Answer:
a) x(x - 2)
b) 6x(x + 2)
c) 3x(x^2-3)
d) (2x)(2x)(1+7x)
Step-by-step explanation:
As there are multiple answers going with trial and error seems good in this case.
A
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
20.00 + 31.5 = 51.5
B
5.00 + 5.00 + 5.00 + 5.00 = 20.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 35.00
20.00 + 35.00 = 55.00
C
5.00 + 5.00 + 5.00 = 15.00
3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 + 3.50 = 31.5
15.00 + 31.5 =46.5
Knowing that for the first one all A,B, and C were wrong we can determine that D is the answer. But wait if I made one mistake and didn't understand if $156.5 is equivalent to $156.50 that would mean A is correct.
Always recheck your answers and good luck,
Jon
Answer:
When we have 3 numbers, like:
a, b and c.
Such that:
a < b < c.
These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:
a^2 + b^2 = c^2
This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.
Now that we know this, we can check if the given sets are Pythagorean triples.
1) 3, 4, 5
Here we must have that:
3^2 + 4^2 = 5^2
solving the left side we get:
3^2 + 4^2 = 9 + 16 = 25
and the right side:
5^2 = 25
Then we have the same in both sides, this means that these are Pythagorean triples.
2) 8, 15, 17
We must have that:
8^2 + 15^2 = 17^2
Solving the left side we have:
8^2 + 15^2 = 64 + 225 = 289
And in the right side we have:
17^2 = 17*17 = 289
So again, we have the same result in both sides, which means that these numbers are Pythagorean triples
Answer:
w=20/9 or w=2 2/9
Step-by-step explanation:
Multiply each side by 5/3. Then reduce the numbers with the greatest common divisor which is 5 do the same with 3. then multiply the fractions and thus the answer of 20/9 you can simplify the improper fraction if you want the answer is still the same. Hope this helps.
