1.Write an equivalent ratio to 6/24?:
An equivalent ratio to 6/24 is 1/4.
To find an equivalent ratio to 6/24, you need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6.
Dividing 6 by 6, you get 1, and dividing 24 by 6, you get 4. Therefore, the simplified equivalent ratio to 6/24 is 1/4.
To find an equivalent ratio to 6/24, we need to simplify the given ratio.
Step 1: Find the greatest common divisor (GCD) of the numerator and denominator.
In this case, the GCD of 6 and 24 is 6.
Step 2: Divide both the numerator and denominator by the GCD.
6 ÷ 6 = 1
24 ÷ 6 = 4
The simplified ratio is 1/4, which is equivalent to 6/24.
So, an equivalent ratio to 6/24 is 1/4.
2. Car goes 420miles on a 10gallon tank. What is unit rate of miles per gallon?
To find the unit rate of miles per gallon, you need to divide the total miles by the total gallons.
In this case, the car goes 420 miles on a 10-gallon tank.
Unit rate = Total miles / Total gallons
Unit rate = 420 miles / 10 gallons
Simplifying this expression, we get:
Unit rate = 42 miles per gallon.
So, the unit rate of miles per gallon is 42 miles per gallon.
Dog runs 200 miles in 4 days. Write an equation to find miles in 14 days.
To find the number of miles a dog runs in 14 days, we can set up a proportion using the information given.
Let "x" represent the number of miles the dog runs in 14 days.
We know that the dog runs 200 miles in 4 days, so we can set up the following proportion:
200 miles / 4 days = x miles / 14 days
To solve for "x", we can cross-multiply and then divide:
4x = 200 * 14
4x = 2800
x = 2800 / 4
x = 700
Therefore, the equation to find the number of miles the dog runs in 14 days is:
x = 700 miles.
. What 2 things must a graph do to be a proportional relationship?:
To be a proportional relationship, a graph must satisfy the following two conditions:
1. The graph must be a straight line passing through the origin (0,0).
In a proportional relationship, the dependent variable (y) is directly proportional to the independent variable (x). This means that as x increases, y also increases, and the ratio of y to x remains constant. This constant ratio is represented by the slope of the line. Since the relationship is proportional, the graph will be a straight line passing through the origin (0,0).
2. The slope of the line must be constant.
In a proportional relationship, the ratio of y to x remains constant. This means that for any two points on the line, the slope (change in y divided by change in x) will always be the same. Therefore, in a graph representing a proportional relationship, the slope of the line will be constant and equal to this ratio.