Answer:
You would have 1/6 of your money remaining.
Step-by-step explanation:
Let's write an equation for this.
1 - (2/3 + 1/6)
First, let's multiply the numerator and denominator of 2/3. You get 4/6!
1 - (2/3 + 1/6)
1 - (4/6 + 1/6)
Next, let's add 4/6 and 1/6. You get 5/6!
1 - (4/6 + 1/6)
1 - 5/6
Finally, let's turn 1 into 6/6 and do 6/6 - 5/6!
1 - 5/6
6/6 - 5/6
1/6
You would have 1/6 of your money remaining.
Kate needs to swim 40 laps to come complete 66 laps
Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
The series is 84(1+1/5+1/25+...)=84(1/(1-1/5)=84÷4/5=84×5/4=21×5=105. Upper limit is 105.
