Hope this answers your question :)
Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
Answer:
14 knots
Step-by-step explanation:
We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.
So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:
We can solve this by first subtracting 6 from both sides to get:
Dividing both sides by 3.5 we get:
That means that the top speed of the monohull in the 2007 tournament was 14 knots
Answer:
Step-by-step explanation:
The sum of the two costs is $52, so we can write ...
x + y = 52
The shoes cost $4 more than the jacket, so we can write ...
x - y = 4
These are your system of equations.
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Subtract the second equation from the first:
(x +y) -(x -y) = (52) -(4)
2y = 48 . . . . . simplify
y = 24 . . . . . . .divide by 2
The cost of the jacket is $24.
The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.
These two examples illustrate how the use of parentheses can change the order.
Example 1:
5+7/3x4-2/5 has an answer of 13.933.
Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933
If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.
Example 2:
8/3²x5+4 has the answer 8.444
Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444
If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.
