Answer:
x=25°, y=18°
Step-by-step explanation:
Solved! Here is the explanation. As we have supplementary angles, we have a total of 180° of angles. Angle BXD is a right angle, so 2x+40°=90°. 2x=50°, and then we have x=25°. Now, to figure out y, we have to look at angle BXA. In this case, 5y=90°. y=18°. So, x=25° and y=18°. Hope this explanation helps!
Answer: 20 and 22
The product of 20 and 22 is 440 and 22 is 2 more than 20.
Answer:
.094
Step-by-step explanation:
Long division is really annoying, so here we go. Have it written on your paper and follow along.
When doing long division, you want to ignore the decimal until the very end. So how many times does 37 fit into 34? It doesn't, so write a 0 on top. Instead ask how many times it can fit into 347. It can only fit 9 times, so write the 9 next to the 0. Now multiply 37 times 9, since it can fit in 9 times. Place that number (333) under the 347. Subtract that and write the new number underneath (14). Bring down the 8 and add it to the end of your new number (now 148). How many times does 37 fit into 148? It goes in 4 times perfectly. Write the 4 on top, and now multiply 4 times 37, since it goes in 4 times. Put that number (148) below the original 148, subtract, and they cancel out. You're done with the problem! Add the decimal back in. Since there 3 numbers after the decimal in 3.478, the decimal will go before 3 numbers in your answer. Hope this helped!
a)
V=p+prt
now we solve for P
V=P (1+rt)
Divide both sides by (1+rt)
P=V÷(1+rt)...answer
b)
P=V÷(1+rt)
P=3,000÷(1+0.06×5)
P=2,307.69
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. :)
