Describe three ways to write the ratio that compares 4 electronic devices for every 3 people....
1. 4:3
2. 4 to 3
3. 4/3
How do you write 5 is to 1 as 20 is to 4 as a proportion in fractional notation?
To write "5 is to 1 as 20 is to 4" as a proportion in fractional notation, you would set up the ratio as follows:
5:1 = 20:4
Then, convert the ratios into fractions:
5/1 = 20/4
This simplifies to:
5 = 5
Therefore, the proportion is 5/1 = 20/4.
You fill your car with 15 gallons of gas at a cost of $45. Using fractional notation, how do you write a proportion that shows how much 5 gallons of gas will cost? Use x to represent the unknown cost
To set up a proportion using fractional notation to find the cost of 5 gallons of gas (represented by x), you can use the relationship between gallons and cost provided in the scenario:
15 gallons of gas cost $45, which can be represented as the ratio:
15 gallons / $45
Now, you want to find out the cost of 5 gallons of gas (represented by x). This can be written as the ratio:
5 gallons / x
Setting up the proportion:
15 / 45 = 5 / x
To solve for x, you can cross multiply:
15 * x = 45 * 5
15x = 225
Divide by 15 on both sides to find the value of x:
x = 225 / 15
x = 15
Therefore, 5 gallons of gas will cost $15.
BUT WHATS THE EQUATION LOOK LIKE
The proportion that represents the relationship between the gallons of gas and the cost can be written as an equation in the following form:
15 gallons / $45 = 5 gallons / x
This equation sets up a proportion where the cost of 15 gallons of gas is equal to $45 and you are solving for the cost of 5 gallons of gas.