Answer: 648 pull-ups
Step-by-step explanation:
Given
Max take 5.5 minutes to do 60 Pull-ups with a break in between
Similarly, it took 8 minutes for 120 pull-ups
Suppose the time taken for a single pull-up and break is x and y minutes
So, it can be written
![\Rightarrow 60x+y=5.5\quad \ldots(i)\\\Rightarrow 120x+y=8\quad \ldots(ii)\\\\\text{Solve (i) and (ii) we get}\\\\x=\dfrac{2.5}{60}\ min \ or\ \ 2.5\ s\\\\y=3\ min](https://tex.z-dn.net/?f=%5CRightarrow%2060x%2By%3D5.5%5Cquad%20%5Cldots%28i%29%5C%5C%5CRightarrow%20120x%2By%3D8%5Cquad%20%5Cldots%28ii%29%5C%5C%5C%5C%5Ctext%7BSolve%20%28i%29%20and%20%28ii%29%20we%20get%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B2.5%7D%7B60%7D%5C%20min%20%5C%20or%5C%20%5C%202.5%5C%20s%5C%5C%5C%5Cy%3D3%5C%20min)
Now, suppose max perform at this rate, and the total pull-ups are P in 30 minutes
![\therefore P\times \dfrac{2.5}{60}+3=30\\\\\Rightarrow P\times \dfrac{2.5}{60}=27\\\\\Rightarrow P=648\ \text{Pull-ups}](https://tex.z-dn.net/?f=%5Ctherefore%20P%5Ctimes%20%5Cdfrac%7B2.5%7D%7B60%7D%2B3%3D30%5C%5C%5C%5C%5CRightarrow%20P%5Ctimes%20%5Cdfrac%7B2.5%7D%7B60%7D%3D27%5C%5C%5C%5C%5CRightarrow%20P%3D648%5C%20%5Ctext%7BPull-ups%7D)
Answer:
24 square units
72 square units
96 square units
Step-by-step explanation:
In the figure attached, the complete question is shown.
One face is a rectangle with length = 12 and width = 8. Its area is: 8*12 = 96 square units
Another face is a rectangle with length = 12 and width = 10. Its area is: 10*12 = 120 square units
Another face is a rectangle with length = 12 and width = 6. Its area is: 6*12 = 72 square units
The other two faces are right triangles with base = 6 and height = 8. Their area is: (6*8)/2 = 24 square units
Answer:
5 ,a lot
Step-by-step explanation:
The speed of the windo is 217 mph in still air
Step-by-step explanation:
<u>Solve inside the first parentheses:</u>
![2(8 + 1)(7b + 4)](https://tex.z-dn.net/?f=2%288%20%2B%201%29%287b%20%2B%204%29)
![2(9)(7b + 4)](https://tex.z-dn.net/?f=2%289%29%287b%20%2B%204%29)
<u>Multiply:</u>
![18(7b + 4)](https://tex.z-dn.net/?f=18%287b%20%2B%204%29)
<u>Multiply using Distributive Property:</u>
![126b + 72](https://tex.z-dn.net/?f=126b%20%2B%2072)
Your simplified expression is 126b + 72.