1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad1618 [11]
3 years ago
15

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?

How many 2-cup bowls of soup can the caterer fill to the top? How many cups of soup are left over?
Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

<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.

You might be interested in
How many quart are 8/1/4 gallons
Westkost [7]

Given:

Consider the given gallons are 8\dfrac{1}{4} gallons.

To find:

The number of quarts in 8\dfrac{1}{4} gallons.

Solution:

We know that,

1 gallons = 4 quarts

Using this conversion, we get

8\dfrac{1}{4}\text{ gallons}=4\times 8\dfrac{1}{4}\text{ quarts}

8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{32+1}{4}\text{ quarts}

8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{33}{4}\text{ quarts}

8\dfrac{1}{4}\text{ gallons}=33\text{ quarts}

Therefore, there are 33 quarts in 8\dfrac{1}{4} gallons.

6 0
2 years ago
To rent a moving truck for the day, it costs $33 plus $1 for each mile driven. Write an expression for the total cost to rent th
alina1380 [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
Which was the first university of the world ​
lianna [129]

Answer:

Sankore University

Step-by-step explanation:

7 0
2 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

8 0
3 years ago
Which property explains the step shown in solving the equation?8x − 15 + 6x = 10x − 18 ⇒ 8x + 6x − 15 = 10x − 18
vlada-n [284]

Answer:

Taybrownies1359Step-by-step explanation:

np

7 0
3 years ago
Other questions:
  • Point (, ) is dilated from the origin by scale factor = . What are the coordinates of point ′?
    15·1 answer
  • How do you find a frequency of a class when the relative frequency is given
    13·1 answer
  • Find two consecutive odd integers such that their product is 59 more than 2 times their sum
    10·1 answer
  • How can you write 3/5 as a decimal
    7·2 answers
  • How many hours does antoine sleep in a day
    15·1 answer
  • Why does it take 3 copies of 1/6 to show the amount as 1 copy of 1/2
    12·1 answer
  • Twenty-five more than four times a number is equal to the difference between 109 and twice the number. Find the number.
    15·2 answers
  • What is the percent of change from 50 to 46?
    14·1 answer
  • Find the single number that will make these two expressions equivalent.
    8·1 answer
  • The table shows the cost of birdseed at the Feed n Seed store. What is the constant of proportionality between the cost and the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!