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OpenStudy (anonymous):
@Michele_Laino
OpenStudy (anonymous):
Remo needs to buy a countertop for a bathroom. He calculated the area as 10 square feet. The actual area is 9.5 square feet. What is Remo's percentage error?
0.5%
0.95%
5%
5.26%
OpenStudy (michele_laino):
by definition, the percentage error, is:
\[\large \frac{{10 - 9.5}}{{9.5}} \cdot 100 = ...?\]
OpenStudy (anonymous):
90
OpenStudy (michele_laino):
I'm sorry, it is wrong
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OpenStudy (anonymous):
5.26315789474
OpenStudy (anonymous):
D?
OpenStudy (michele_laino):
correct!
5.26%
OpenStudy (anonymous):
OpenStudy (michele_laino):
here is the general definition, for percentage error \epsilon:
\[\Large \varepsilon = \frac{{{\text{measured value}} - {\text{actual value}}}}{{{\text{actual}}\;{\text{value}}}} \cdot 100\]
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OpenStudy (michele_laino):
the requested unit rate is:
space/time, namely:
\[\huge r = \frac{{3/8}}{{3/5}} = \frac{3}{8} \cdot \frac{5}{3} = ...?\]
OpenStudy (anonymous):
15 / 24
OpenStudy (michele_laino):
you can simplify your fraction please
OpenStudy (anonymous):
5/8
OpenStudy (michele_laino):
correct!
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OpenStudy (anonymous):
A?
OpenStudy (michele_laino):
yes!
OpenStudy (anonymous):
A package of pencils cost $6.25 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pencils?
n = 6.25P
P = 6.25n
n equals 6.25 over P
P equals 6.25 over n
OpenStudy (michele_laino):
total cost for n set is:
cost for one set multiplied by the number of set
OpenStudy (anonymous):
b?
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OpenStudy (michele_laino):
correct!
OpenStudy (anonymous):
An oil company fills 1 over 12 of a tank in 1 over 4 hour with gasoline. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 4 ⋅ 1 over 12
1 over 12 ⋅ 4
1 over 4 ⋅ 12
12 ⋅ 4
@Michele_Laino
OpenStudy (michele_laino):
the filling rate r is:
\[\Large r = \frac{{1/12}}{{1/4}} = \frac{1}{{12}} \cdot \frac{4}{1} = ...?\]
OpenStudy (anonymous):
4/12 which can be simplified to 1/4
OpenStudy (michele_laino):
4/12 which can be simplified to 1/3
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OpenStudy (anonymous):
oh sorry its 1/3
OpenStudy (michele_laino):
that means I am able to fill 1 tank every 3 hours, right?
OpenStudy (anonymous):
right
OpenStudy (michele_laino):
so what is the right option?
OpenStudy (anonymous):
c?
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OpenStudy (michele_laino):
correct!
OpenStudy (anonymous):
Which unit rate is equivalent to 19 miles per gallon?
three gallons over fifty seven miles
fifty seven miles over three gallons
thirty seven miles over four gallons
four gallons over thirty seven miles
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OpenStudy (anonymous):
oh ok
OpenStudy (michele_laino):
are those numbers proportional each to others?
OpenStudy (anonymous):
yes
OpenStudy (michele_laino):
so, what is the right option?
OpenStudy (anonymous):
true
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OpenStudy (michele_laino):
that's right!
OpenStudy (anonymous):
OpenStudy (michele_laino):
hint:
(0,0) means that 0 fine is due if the DVD is returned by the due date
OpenStudy (anonymous):
c?
OpenStudy (michele_laino):
yes!
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OpenStudy (anonymous):
Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva projected to make in July?
$126
$170
$176
$660
OpenStudy (michele_laino):
it is simple, the requested amount of money is:
\[\Large 60 + \left( {\frac{{110}}{{100}} \cdot 60} \right) = ...?\]