<u>Answer:
</u>
An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. Time it will take to fill the pool = 748 hrs
<u>Solution:
</u>
Let x = time it will take to fill the pool
= work rate of inlet pipe
= work rate of drain pipe
Using the formulae
Volume of flow=work rate
time
Let us assume complete time of pool to fill = 1
Remaining fraction of pool to be filled = ![1-\frac{1}{3}=\frac{2}{3}](https://tex.z-dn.net/?f=1-%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![\begin{array}{l}{\frac{1}{33} x-\frac{1}{34} x=\frac{2}{3}} \\\\ {\frac{x}{33}-\frac{x}{34}=\frac{2}{3}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Cfrac%7B1%7D%7B33%7D%20x-%5Cfrac%7B1%7D%7B34%7D%20x%3D%5Cfrac%7B2%7D%7B3%7D%7D%20%5C%5C%5C%5C%20%7B%5Cfrac%7Bx%7D%7B33%7D-%5Cfrac%7Bx%7D%7B34%7D%3D%5Cfrac%7B2%7D%7B3%7D%7D%5Cend%7Barray%7D)
![\frac{34 x-33 x}{33 \times 34}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B34%20x-33%20x%7D%7B33%20%5Ctimes%2034%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![34 x-33 x=\frac{2 \times 34 \times 33}{3}](https://tex.z-dn.net/?f=34%20x-33%20x%3D%5Cfrac%7B2%20%5Ctimes%2034%20%5Ctimes%2033%7D%7B3%7D)
![\begin{array}{l}{x=\frac{2244}{3}} \\\\ {x=\frac{3168}{3}} \\\\ {x=748}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7Bx%3D%5Cfrac%7B2244%7D%7B3%7D%7D%20%5C%5C%5C%5C%20%7Bx%3D%5Cfrac%7B3168%7D%7B3%7D%7D%20%5C%5C%5C%5C%20%7Bx%3D748%7D%5Cend%7Barray%7D)
Time it will take to fill the pool = 748 hrs
The answer is 33417 423x79 =33417
When two lines intersect and they make a 90 degrees angle between them, then those lines are said to be perpendicular to each-other and all four angles between them are 90 degrees each.
In the given diagram we can see that two lines are intersecting and angle ∠2 is marked as 90 degrees. It means these two lines are perpendicular to each other and all angles would be Right angles i.e. 90 degrees each.
Hence ∠1 ≅ ∠2 = 90°
Hence, option B is correct.
To calculate the sales tax of an $11,900 purchase, we simply multiply the purchase prices by the sales tax rate.
8% is 8 parts of 100, which can be shown as a fraction with 8/100 or as a decimal with .08
Let's use the decimal in this case:
Sales Tax = purchase price x sales tax rate
Sales tax = 11,900 x .08
Sales tax = $952
So if the car was purchased at $11,900 in a state with an 8% sales tax rate, the sales tax would be $952 bringing the total cost of the car up to $12,852.
Answer:
Step-by-step explanation:
6x+3