Answer:
Excess time = 1.2 hour
Step-by-step explanation:
Given:
Total time = 24 hours
Talking on phone = 17 %
Sleeping = 33%
Going to school = 25%
Studying = 4%
Eating = 8%
Computation:
Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying - Studying - Eating
Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%
Watching TV percent = 13%
Time taken by school = 24 x 25%
Time taken by school = 6 hour
Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)
Time taken by watching T.V. and Talking on the Phone = 7.2 hour
Excess time = 7.2 - 6
Excess time = 1.2 hour
<span>Simplifying
(6a + -8b)(6a + 8b) = 0
Multiply (6a + -8b) * (6a + 8b)
(6a * (6a + 8b) + -8b * (6a + 8b)) = 0
((6a * 6a + 8b * 6a) + -8b * (6a + 8b)) = 0
Reorder the terms:
((48ab + 36a2) + -8b * (6a + 8b)) = 0
((48ab + 36a2) + -8b * (6a + 8b)) = 0
(48ab + 36a2 + (6a * -8b + 8b * -8b)) = 0
(48ab + 36a2 + (-48ab + -64b2)) = 0
Reorder the terms:
(48ab + -48ab + 36a2 + -64b2) = 0
Combine like terms: 48ab + -48ab = 0
(0 + 36a2 + -64b2) = 0
(36a2 + -64b2) = 0
Solving
36a2 + -64b2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '64b2' to each side of the equation.
36a2 + -64b2 + 64b2 = 0 + 64b2
Combine like terms: -64b2 + 64b2 = 0
36a2 + 0 = 0 + 64b2
36a2 = 0 + 64b2
Remove the zero:
36a2 = 64b2
Divide each side by '36'.
a2 = 1.777777778b2
Simplifying
a2 = 1.777777778b2
Take the square root of each side:
a = {-1.333333333b, 1.333333333b}</span>
Answer:
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Step-by-step explanation:
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Answer:
x + 3y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 1 = -
(x - 6)
Multiply through by 3 to clear the fraction
3y - 3 = - (x - 6) ← distribute parenthesis by - 1
3y - 3 = - x + 6 ( add x to both sides )
x + 3y - 3 = 6 ( add 3 to both sides )
x + 3y = 9 ← in standard form
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where is the different number?