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When substituting, you want to take the y value from one equation and plug it into the y variable in the other equation to find the x value. When you find the c value, you plug the number into one of the equations to get your y value.
Answer:
37 miles per hour
Step-by-step explanation:
To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).
So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.
There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.
Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):
8 ÷ 13/60
Remember, a ÷ b/c = a × c/b. Using this:
8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.
Latoya had an average rate of about 37 miles per hour.
I hope this helps. :)
Answer:
2 Minutes
Step-by-step explanation:
the first ratio is 5:10 since it is easier to work with big numbers let's start by multiplying it by 2 to get something
Now we have 10:20 we can divide this by 10 and get the ratio 1:2
1:2 equals 1 mile:2 minutes which is 1 mile in 2 minutes!
Have a nice day and I hope this helps!
Answer:
y = 3x+2
Step-by-step explanation:
First find the slope using the slope formula
m= (y2-y1)/(x2-x1)
= ( -1 - -4)/(-1 - -2)
= (-1 +4)/ (-1 +2)
= 3/1
= 3
The slope intercept formula is
y = mx+b where m is the slope and b is the y intercept
y = 3x+b
Using the point (-1,-1) and substituting into the equation
-1 = 3(-1)+b
-1 = -3+b
-1+3 = b
2 = b
y = 3x+2
