barney has 16 1/5 yards of fabric. to make an elf costume, he needs 5 2/5 yards of fabric. how many costumes can barney make?

Mathematics

2 answers:

mixas84 [53]3 years ago

3 0

I think that you just divide 16 1/5 by 5 2/5

pogonyaev3 years ago

3 0

Answer:

3 elf costumes can be made by Barney.

Step-by-step explanation:

We are given the following information in the question:

Amount of fabric Barney has =

$16\displaystyle\frac{1}{5} = \frac{81}{5}\text{ yards}$

Fabric needed to make one elf costume =

$5\displaystyle\frac{2}{5} = \frac{27}{5}\text{ yards}$

Number of costumes that can be made =

$\displaystyle\frac{\text{Total fabric}}{\text{Fabric required to make 1 costume}}\\\\ = \frac{\frac{81}{5}}{\frac{27}{5}} = \frac{81}{27} = 3$

Thus, total 3 elf costumes can be made by Barney.

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A circle has its center at (0,0) and passes through the point (0,9). What is the standard equation of the circle?

Alexxandr [17]

Answer:

x^2+y^2=9^2

Step-by-step explanation:

The standard equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of $r^2$ this means that $r^2=9^2$ . Therefore by plugging in the values we have: