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3 years ago

Find the improper fraction with a denominator of six that is equivalent to 5 1/2

Mathematics

1 answer:

sammy [17]3 years ago

5 0

Answer:

33/6

Step-by-step explanation:

Convert the proper fraction into an improper fraction.

11/2

Multiply numerator and denominator by the same number. This number needs to allow the demominator to be 6.

(11*3)/(2*3)

33/6

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Calculate the volume of water in the cup when it is full

maxonik [38]

To find:

The volume of the water in the cup when it is full.

Solution:

The volume of the water is equal to the difference of the volume of the small cone and the larger cone.

Here, the ratio of the radius of both cones is equal to the ratio of their heights. SO,

$\begin{gathered} \frac{r}{2.7}=\frac{20}{20-8} \\ \frac{r}{2.7}=\frac{20}{12} \\ \frac{r}{2.7}=\frac{5}{3} \\ r=4.5 \end{gathered}$

The radius of the larger cone is 4.5 cm.

So, the volume of the water is:

$\begin{gathered} V=\frac{1}{3}\pi R^2H-\frac{1}{3}\pi r^2h \\ =\frac{1}{3}\pi(R^2H-r^2h) \\ =\frac{1}{3}\pi((4.5)^2(20)-(2.7)^2(12)) \\ =\frac{1}{3}\cdot\frac{22}{7}(405-87.48) \\ =\frac{22}{21}(317.52) \\ =332.64cm^2 \end{gathered}$

The volume of water when the cup is full is 332.64 cm^2.

7 0

1 year ago

Aleta's puppy gained3/8 pound each week for 4 weeks.Altogether, how much weight did the puppy gain during the 4 weeks

seraphim [82]

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Step-by-step explanation:

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