Answer:
John had $572 in his savings account.
Step-by-step explanation:
Let the total amount John took from his savings account be T.
He spent $52. That means he has $(T - 52) left.
He then spent 1/2 of what was left on presents for his friends. That is:
![\frac{1}{2} * (T - 52) = \frac{T - 52}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%20%2A%20%28T%20-%2052%29%20%3D%20%5Cfrac%7BT%20-%2052%7D%7B2%7D)
Which means he is left with another half of what was left, that is, ![\frac{T - 52}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BT%20-%2052%7D%7B2%7D)
Of the money remaining, John put 4/13 into checking account.
This means that he is left with 9/13 of
.
We are told that this is equivalent to the last remaining $180 that John left to charity.
=> ![\frac{9}{13} * \frac{T - 52}{2} = 108](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B13%7D%20%2A%20%20%5Cfrac%7BT%20-%2052%7D%7B2%7D%20%3D%20108)
Hence:
![\frac{9(T - 52)}{13 * 2} = 180\\\\9(T - 52) = 180 * 13 * 2\\\\9(T - 52) = 4680\\\\T - 52 = \frac{4680}{9} = 520\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B9%28T%20-%2052%29%7D%7B13%20%2A%202%7D%20%20%3D%20180%5C%5C%5C%5C9%28T%20-%2052%29%20%3D%20180%20%2A%2013%20%2A%202%5C%5C%5C%5C9%28T%20-%2052%29%20%3D%204680%5C%5C%5C%5CT%20-%2052%20%3D%20%5Cfrac%7B4680%7D%7B9%7D%20%3D%20520%5C%5C%5C%5C)
=> T = 520 + 52 = $572
Hence, John took $572 from his savings account. Since this is all he had in his savings account, John had $572 in his savings account.
The distance between him and school is 1.59 miles. Of course this distance is linear to make this problem simple. He walks with a speed of 3 miles per hour or 0.00083 mile per second.
To calculate time from distance and speed we use this formula:
seconds. To convert minutes we divide number of second by 60.
.
It will take him approximately 60 minutes to get to school.
This is all very simple math, divide the figures into 2 or more separate blocks. Next adjust the measurements, then calculate the volume of both boxes (LxWxH) and add them together to get the answer.
Find the missing side of the right triangle using Pythagorean Theorem:
10^2 =8.7^2 +x^2;
x^2=100-75.69=24.31
x= sqrt 24.31~ 4.93
Area of trapezoid is area of triangle+area of a rectangle.
A=(8.7x4.93/2)+(12x4.93)
A=80.6055 ~81 ft^2