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AleksAgata [21]
2 years ago
12

Help please I'm no good at this​

Mathematics
1 answer:
viva [34]2 years ago
6 0

Here are the completed tables

Gallons Quart

1               4

2               8

5               20

7               28

Quart    Pint

1             2

3             6

6           12

8            16

Pint  Cup

1          2

3         6

5        10

9       18

The capacity of the objects are:

Swimming pool - 5000 gallons

Watering can - 8 quarts

Juice box - 2 pints

Soup bowl - 2 cups

The measurement from least to greatest is: 6 pints, 2 galloons, 18 cups, 6 quart.

<h3>How would the tables be filled?</h3>

In order to fill the tables, the unit of conversion has to be known:

1 gallon = 4 quart

  • 2 gallon = 2 x 4 = 8 quarts
  • 5 gallons : 5 x 4 = 20 quarts
  • 7 gallons: 7 x 4 = 28 quarts

1 quart = 2 pints

6 pint / 2 = 3 quarts

12 / 2 = 6 quarts

8 x 2 = 16 pints

<h3>How to order the measurment from least to largest?</h3>

In order to order the measurement, all the measurements have to be in the same units. All the units would be converted to cups

1 quart = 4 cups

4 x 6 = 24 cups

1 galloon = 16 cups

16 x 2 = 32 cups

1 pint = 2 cups

6 x 2 = 12 cups

To learn how to convert units, please check: brainly.com/question/25993533

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The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

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