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kumpel [21]
1 year ago
8

Pls explain and provide calculation thank you

Mathematics
1 answer:
Sauron [17]1 year ago
8 0

Answer:

At least 18 solid balls

Step-by-step explanation:

<h3>Volume of rectangular tank:</h3>

    \sf \boxed{\bf Volume \ of \ rectangular \ tank = length* width * height}

Volume of empty space = Volume of the full tank - Volume of the tank till the water.

                                        = 20*10*13 - 20*10*11

                                        = 2600 - 2200

                                        = 400 cm³

Volume of 1 solid ball = 23 cm³

Number of solid ball to make the tank overflow = 400 ÷ 23

                                                                               ≈ 18 solid balls

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A caterer makes 15 3/4 quarts of tomato soup. He pours 2 cups of soup into each bowl. How many quarts of soup are in each bowl?
Sindrei [870]

<u>ANSWER:  </u>

There are 0.5 quarts in each bowl. There are 31 fully filled bowls. And left over soup is 1 cup of soup.

<u>SOLUTION: </u>

Given, a caterer makes $15 \frac{3}{4}$ which is equal to $\frac{63}{4}$ quarts of tomato soup.  

He pours 2 cups of soup into each bowl.  

Now let us find how many quarts of soup are in each bowl?  

We know that, 1 us liquid quart equals to 4 us cups.

Then, 1 quart = 4 cups

1 cup = \frac{1}{4} quarts

Here, in each bowl caterer pours two cups,

So, 2 cups = $2 \times \frac{1}{4}$ quarts

= \frac{1}{2} = 0.5 quarts

Hence, there are 0.5 quarts in each bowl.

Now let us find how many 2-cup bowls of soup can the caterer fill to the top?  

From above part, we know that, each bowl has 0.5 quarts.

Then, total bowls with 2- cups of soup = $\frac{\text {total soup}}{\text {soup in one bowl}}$

$=\frac{\frac{63}{4}}{\frac{1}{2}}$

=\frac{63}{4} \times \frac{2}{1}$$=\frac{63}{2}$$=31.5$

Here, 0.5 means that a bowl which is not filled to the top. So there are 31 fully filled bowls.

Now, let us find how many cups of soup are left over?

From above part we saw that, there are 31 fully filled bowls but there is a bowl with 0.5 quarts and which is not fully filled.

So, it is the amount of soup which is left over. i.e. 0.5 times of a bowl.

We know that, each bowl will have two cups.

Here left over bowl has half of it filled with soup

So the left over soup is 1 cup of soup.

5 0
3 years ago
a building is 2ft from a 12 ft fence that surrounds the property a worker wants to wash a window in the building 17 ft from the
NikAS [45]
Check the picture below.

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8 0
3 years ago
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Llana [10]

Answer:

8.944

Step-by-step explanation:

To find the missing Length, Use Pythagorean Theorem!

a^2+b^2=c^2

4^2+8^2=c^2

16+64=c^2

80=c^2

\sqrt{80} =8.944

so it is approximately 10 but not quiet

hope this helps

6 0
3 years ago
Please help! I'll rate 5 stars, if possible give brainliest, and give a thanks.
muminat

Answer:

2x+20 + x+40 = 180

Step-by-step explanation:

The angles are supplementary so they add to 180

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3 0
3 years ago
Read 2 more answers
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Olenka [21]
<span>No sé la forma correcta de hacerlo, pero encontrar conjuntos de dos números que pueden igualar 12, luego encontrar cuál de los encaja en la segunda ecuación correctamente.</span>
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