A. The speed of train A is 6mph slower than the speed of train B. Train A travels 220 miles in the same time it takes for train B to travel 250 miles find the speed of each train
solve and check:
q+9/3 + 9-4/4 = 13/3
simplify by removing factors of 1 :
7y-14/7y
add:
x+6/x + x/x+6
Hat sizes are determined by measuring the circumference of the head in either inches of centimeters. Use ratios and proportion to complete the table
Hat size Head circ. head circ.
in in. in cm.
7 1/2 23 3/5 60
? ? 59
To solve the given problem, we need to set up equations based on the information given in the question statements.
1. Speed of Train A is 6 mph slower than the speed of Train B:
Let the speed of Train B be x mph.
Therefore, the speed of Train A would be (x - 6) mph.
2. Train A travels 220 miles in the same time it takes for Train B to travel 250 miles:
The time taken by both trains to travel their respective distances will be the same.
Let the time taken be t hours.
Using the formula: Speed = Distance/Time, we can set up the following equations:
For Train A:
(x - 6) mph = 220 miles / t
For Train B:
x mph = 250 miles / t
Now, we have two equations with two variables. We can solve them simultaneously to find the values of x (the speed of Train B) and (x - 6) (the speed of Train A).
To solve:
1. We can cross-multiply the first equation: (x - 6) * t = 220
2. We can cross-multiply the second equation: x * t = 250
By solving these equations, we can find the values of x and t, which in turn will give us the speeds of both trains.
For the next question about expressions, it seems there is no equation or question stated. Without a clear problem, it is not possible to provide meaningful guidance or solve anything.
Finally, for the table about hat sizes and head circumference, we can use ratios and proportions to find the missing values.
Given: Hat size 7 1/2 corresponds to a head circumference of 23 3/5 inches.
First, convert the given measurements to a common unit (either inches or centimeters):
Hat size 7 1/2 = 7.5 (since 1/2 = 0.5)
Head circumference 23 3/5 inches = 23.6 inches
Now, let's set up a proportion using the given information:
Hat size / Head circumference (in inches) = ? / Head circumference (in cm)
7.5 / 23.6 = ? / 59
Cross-multiply and solve for the missing value:
7.5 * 59 = 23.6 * ?
This will give us the value of the missing head circumference in centimeters.
Remember, proportions are solved by cross-multiplying and then solving the resulting equation.