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. :)
I believe the first answer is c
Answer:
Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Step-by-step explanation:
Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:
Sonja = 8/12 = 0.666 x 12 = 8
Olga = 5/6 = 0.83333 x 12 = 10
Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.
Answer:
Step-by-step explanation:
Refer to the figure and match the theorem that supports the statement.
1. If chords are =, then arcs are =.
If BC = DE, then Arc BC = Arc DE
2. If arcs are =, then chords are =.
If Arc BC = Arc DE, then BC = DE
3. Diameters perpendicular to chords bisect the chord
If AX is perpendicular to BC, then BX = XC
Answer:
RHS
Step-by-step explanation:
It is given that XY is the perpendicular bisector of WZ. This means that it forms 90-degree angles at Y. (angle XYZ and angle XYW are 90 degrees). (R)
Since there is a right angle at Y, XZ and XW are the hypotenuses. (H)
There is a common line between triangle XYZ and XYW and that is XY. (S)
Therefore you can prove ΔXYZ ≅ΔXYW because of RHS
