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1) 12(6 - 2) - 1.5
Simplify within the parenthesis first.
12(4) - 1.5
Multiply the parenthesis out.
48 - 1.5
Simplify.
46.5
2) 4(125 ÷ 5) - 3 + 6
Simplify within the parenthesis.
4(25) - 3 + 6
Multiply out the parenthesis.
100 - 3 + 6
Simplify.
106 - 3
Simplify.
103
~Hope I helped!~
Note the binomial expansion,
(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³
so
<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)
Similarly,
(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²
We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so
(<em>a</em> + 1/<em>a</em>)² - 2 = 79
(<em>a</em> + 1/<em>a</em>)² = 81
<em>a</em> + 1/<em>a</em> = ±9
but <em>a</em> > 0, so we ignore the negative solution.
Then
<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702
Answer: 2450 min or 40hr and 50 min
Step-by-step explanation:
We can use a proportion to set up this equation.
We cross muliply so get our equation.
It took Mike 2450 min to read 1225 pages. We can also use a proportion to write this in hours
Answer:
R.
Step-by-step explanation: Itś the closes.
If you count them one buy one to each letter.
