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Sliva [168]
3 years ago
10

Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles

. What is this number of miles written as an improper fraction?
Select one:
A. 31/5
B. 3 5/1
C. 16/3
D. 16/5
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
5 0

Answer:

D. \frac{16}{5}

Step-by-step explanation:

3\frac{1}{5}

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

3*5=15

Then, add this number to the numerator.

15+1=16

This number is now the numerator of the fraction. The denominator stays the same.

\frac{16}{5}

I hope this helps!

tangare [24]3 years ago
3 0

Answer:

C. 16/5

Step-by-step explanation:

First, note that 3 1/5 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:  

3 = whole number  

1 = numerator  

5 = denominator

To convert mixed number 3 1/5 to improper fraction, you follow these steps:  

Multiply the whole number by the denominator  

3 × 5 = 15  

Add the product from Step 1 to the numerator  

15 + 1 = 16

Write answer from Step 2 over the denominator  

16/5

The mixed number 3 1/5 converted to improper fraction is therefore :  

16/5

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Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

100-36=h^2

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Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

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Answer:

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