Answer: 17/18
Step-by-step explanation: You have to find the least common denominator first, since 1/9 and 5/6 have different denominators. The least common denominator is 18. Multiply both the numerator and the denominator of each fraction by the number that makes its denominator equal to the least common denominator.
The equation then becomes 2/18 + 15/18 which equals 17/18 ^-^
Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
Answer:
5 minutes to run 1 kilometer
Step-by-step explanation:
Alonzo takes 12 minutes to run 6 times around a 400-meter track.
6 times around a 400 m track
400 * 6 = 2400 meters
It take 12 minutes to run 2400 meters
2400 meters = 2400/1000 = 2.4km
distance = 2.4 km and time = 12 minutes
Now we find our constant speed

2.4 = speed * 12
divide by 12 on both sides
speed = 0.2
so speed is 0.2 km per minute
Now we find out time when distance = 1km
Distance = speed * time
1 = 0.2 * t
divide by 0.2 on both sides
5 = t
So it take 5 minutes to run 1 kilometer
Beginning Balance: 820.64
Add:
donations: 500 + 55 + 25 580.00
Deduct:
electric bill: 40.64
postage bill: 12.75
rental : 445.00 <u> (498.39)</u>
Ending Balance 902.25
The balance at the end of the month is $902.25