USE PHOTOMATH , it will solve it and show you how to do it , I use it for maths questions like this !!!!!!
Answer:
Area of remaining cardboard is 224y^2 cm^2
a + b = 226
Step-by-step explanation:
The complete and correct question is;
A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?
Solution;
Mathematically, at any point in time
Area of the cardboard is length * width
Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2
Area of the cuts;
= 4 * (6y)^2 = 4 * 36y^2 = 144y^2
The area of the remaining cardboard will be :
368y^2-144y^2
= 224y^2
Compare this with;
ay^b
a = 224, and b = 2
a + b = 224 + 2 = 226
First, find the lowest common denominator. That is 12. You only have to change 3/4 into 12ths.
3/4 = 9/12
11/12 – 9/12 = 2/12 = 1/6
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.
Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)
For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.
So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.
Now just divide the size of the vat by that number, and you find your answer.
70 gallons / 3 gallons per hour = 23 1/3 hours.
In simplest form it should be 5/7