To find an equivalent ratio to 6/24, you can simplify the given ratio by dividing both the numerator and denominator by their greatest common divisor, which is 6 in this case.
Dividing 6 by 6 gives you 1, and dividing 24 by 6 gives you 4. Therefore, an equivalent ratio to 6/24 is 1/4.
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To find the unit rate of miles per gallon in the given scenario, you need to divide the total number of miles by the total number of gallons.
In this case, the car goes 420 miles on a 10-gallon tank. So, the unit rate of miles per gallon can be found by dividing 420 miles by 10 gallons:
420 miles รท 10 gallons = 42 miles per gallon.
Therefore, the unit rate of miles per gallon for the car is 42 miles.
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To find an equation to calculate the number of miles a dog runs in 14 days based on the given information, you can use the concept of a constant rate.
The dog runs 200 miles in 4 days, which means it has a constant rate of 200 miles per 4 days.
To find the rate per day, you can divide both sides of the equation by 4:
200 miles รท 4 days = 50 miles per day.
The dog runs 50 miles per day. To find the number of miles the dog will run in 14 days, you can multiply the rate per day (50 miles) by the number of days (14):
50 miles/day ร 14 days = 700 miles.
Therefore, the equation to find the number of miles in 14 days would be: Miles = 50 days ร Number of Days.
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For a graph to represent a proportional relationship, it must satisfy two conditions:
1. The graph must pass through the origin (0, 0). This means that when both the x and y values are zero, it represents the starting point or initial state of the relationship.
2. The graph must form a straight line. This indicates that the relationship between the two variables is constant and consistent regardless of the values chosen.
If both of these conditions are met, the graph represents a proportional relationship.
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To find the constant of proportionality and write a direct variation equation, you first need to determine the ratio of pages read to minutes taken for each person.
For Milly, the ratio is 20 pages for 4 minutes, which is simplified as 20/4 or 5 pages per minute.
For Sara, the ratio is 12 pages for 3 minutes, simplified as 12/3 or 4 pages per minute.
The constant of proportionality represents the ratio of the dependent variable (number of pages) to the independent variable (number of minutes). In this case, that ratio is 5 pages per minute.
Therefore, the direct variation equation can be written as: Pages = 5 ร Minutes, where the number of pages read is equal to 5 times the number of minutes.
You can use the same process to find the constant of proportionality for Sara, which is 4 pages per minute.