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Lyrx [107]
2 years ago
14

A recipe calls for 5.0 qt of milk. what is this quantity in cubic centimeters?

Mathematics
1 answer:
Ede4ka [16]2 years ago
5 0
To answer this question, you need to understand how to convert unit. In this case, it will be quarts(qt) into centimeter cubic(cm3). A quart is 1/4 gallon and one gallon equal to <span>3 785.4 cm3. Then the calculation would be: 
5qt of milk * 0.25 gallon/qt * </span>3 785.4 cm3/gallon= 4731.75 cm3
You might be interested in
Simplify: sin8x cos3x + cos8x sin3x
UkoKoshka [18]

Answer: sin11x

step by step solution :

6 0
2 years ago
Determine a series of transformations that would map polygon ABCDE onto<br>polygon A'B'C'D'E'?<br>​
vovangra [49]

Answer:

A reflection followed by a translation

Step-by-step explanation:

A reflection across they x-axis would put all the points in the right section and on the right y value. The x value would need to be changed though. So, you would need to do a translation of 4 on all points.

3 0
2 years ago
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint t
jasenka [17]

Answer:

a. 30%

b. $893.59

c.

\frac{(351.10-x)}{893.59}\times 100\%

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the  percent of the flooring bill that will go towards the cost of labor:

\%  labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

F_c=212.52+427.35+75\\\\=714.87

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59

Hence, she spends $893.59 on furniture.

c.To get what percentage of  furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

x+y=Furniture\  cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x

The percentage is then calculated as:

\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%

Hnece the percentage cost of the night stand is \frac{(351.10-x)}{893.59}\times 100\%

7 0
2 years ago
The following data represent the length of life in
Natali [406]

Answer:

(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:

<u>Stem</u>            <u> Leaf </u>

0             2 2 2 3 3 4 5 7

1              0 2 3 5 5 8

2             0 3 5

3             0 3

4             0 5 7

5             0 5 6 9

6             0 0 0 5

(b) Relative frequency distribution.

Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.

Length of life    Absolute Frequency      Relative Frequency     % Relative Freq.

0.2                              3                                        0.1                                10

0.3                              2                                        0.07                              7

0.4                              1                                         0.03                              3

0.5                              1                                         0.03                              3

0.7                              1                                         0.03                              3

1.0                               1                                         0.03                              3

1.2                               1                                         0.03                              3

1.3                               1                                         0.03                              3

1.5                               2                                        0.07                              7

1.8                               1                                         0.03                              3

2.0                              1                                         0.03                              3

2.3                              1                                         0.03                              3

2.5                              1                                         0.03                              3

3.0                              1                                         0.03                              3

3.3                              1                                         0.03                              3

4.0                              1                                         0.03                              3

4.5                              1                                         0.03                              3

4.7                              1                                         0.03                              3

5.0                              1                                         0.03                              3

5.5                              1                                         0.03                              3

5.6                              1                                         0.03                              3

5.9                              1                                         0.03                              3

6.0                              3                                        0.10                               10

6.5                              1                                         0.03                              3

Total                          30                                          

(c)

To calculate the sample mean we need to sum all number, which results: 83.9. Then, we divide this result to the total 30, which result: 2.80.

The sample range is the difference between the highest and the lowest value: 6.5 - 0.2 = 6.3.

The sample standard deviation is calculated trough the following process:

Step 1: Subtract the mean from each number.

Step 2: Square each result.

Step 3: Add the squared deviations.

Step 4: Divide the sum by one less the total.

Step 5: Take the square root, and there you have it.

Doing this steps, the result is 2.22.

This last process is attached:

4 0
1 year ago
A paint shop stocks 1800 liters of paint 24% of the paint is white. The shops sells 18% of the white paint and 7% of the rest of
Anuta_ua [19.1K]

Answer:The amount of paint that was sold altogether is 173.36 litres

Step-by-step explanation:

The total amount of paint that the paint shop stocks is 1800 litres.

24% of the paint is white. It means that the amount of white paint would be

24/100 × 1800 = 0.24 × 1800 = 432 litres.

The amount of the remaining paint other than white would be

1800 - 432 = 1368 litres

The shops sells 18% of the white paint. This means that the amount of white paint sold by the shop will be

18/100 × 432 = 0.18 × 432 = 77.6 litres.

The shops sells 7% of the rest of the paint.

This means that the amount of the rest paint sold by the shop will be

7/100 × 1368 = 0.07 × 1368 = 95.76 litres.

The amount of paint that was sold altogether would be

77.6 + 95.76 = 173.36 litres

5 0
2 years ago
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