Answer:
6 1/3
Step-by-step explanation:
(2 2/3) + (3 2/3) = (2 + 3) + (2/3 + 2/3) = 5 + 4/3
= 5 + (1 1/3) = 6 1/3
_____
<em>Comment on the method</em>
Often it works well to add the integer parts and fractional parts separately, then make adjustments in the final result.
You can convert all the numbers to improper fractions, then back:
= 8/3 + 11/3 = 19/3 = 6 1/3
Doing this requires you to do 3 conversions between mixed numbers and improper fractions, whereas the method shown above only does 1 conversion (at the end).
Answer:
$1260
Step-by-step explanation:
70/100 × $1800 = $1260
Answer:
3 hours
Step-by-step explanation:
Step one:
given
Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour.
let the number of hours be x
and the total distance traveled be y
y=6+12x------------1
<em>the initial distance is 6 miles</em>
<em>the distance traveled after x hours = 12x</em>
Peter is traveling at a rate of 14 miles per hour.
y=14x------------2
<em>the initial distance is 0 miles</em>
<em>the distance traveled after x hours = 14x</em>
Step two:
let us equate the two expressions above
6+12x=14x
14x-12x=6
2x=6
divide both sides by 2
x=6/2
x= 3 hours
it will take 3 hours for both of them to cover the same distance
Answer:
Step-by-step explanation:
Let X be the initial price in March 2004.
Let X' be the price for March 2005.
Let X" be the price for June 2005.
March 2005: The price was reduced by 20%. Thus, X' = 0.8X
June 2005: The price was reduced by 1/6 of the March 2005 price: Thus,
X" = X' - (1/6)X'
Substituting, we have X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (0.1333X)
X" = 0.6667X
The June 2005 price is 0.6667 of the 2004 price. That's a (1-0.6667) or 33.33% reduction.
The shape has 11 sides.
Using the angle formula for polygons:
The sum of all the interior angles is:
11-2 x 180 = 9 x 180 = 1,620 degrees.
For one angle divide the total by number of sides:
1620 / 11 = 147.27 which rounds to 147.2
The answer is D.
