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2 years ago

5 3/5 divided 2 2/3 jlll

Mathematics

1 answer:

Naddik [55]2 years ago

3 0

Answer:

7/1 or 7.

Step-by-step explanation:

Turn 2 2/3 into an improper fraction:

$2\frac{2}{3} =\frac{3}{3} +\frac{3}{3}+\frac{2}{3}=\frac{8}{3}$

Turn 5 3/5 into an improper fraction:

$5\frac{3}{5} =\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{3}{5} = \frac{28}{3}$

Find the reciprocal (opposite) of 8/3, then multiply:

$\frac{28}{3} \times\frac{3}{8} =\frac{84}{24}$

Divide 84/24 by 12:

$\frac{84\div12}{12\div12} = \frac{7}{1}$

Your simplified answer is 7/1, or 7.

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3 years ago

The edges of a cube measures 3 1/2 inches each. What is the volume of the cube, in cubic inches

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4 years ago

A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea

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Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

$V=\pi r^{2} h$

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$1250=314 h$

$h=\frac{1250}{314}$

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are $\frac{20}{4}=5$ layers in the cake.

Answer: There are 5 layers in the cake.

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3 years ago

Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He ha

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Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches, let's simplify that as 1000 π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

$S = \frac{1000 \pi }{72 \pi } = 13.88$

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

$S = \frac{1000 \pi }{200 \pi } = 5$

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

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4 years ago