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There are several ways to do this.
We can choose either inches or feet as our base.
Let's do the case in inches.
Let's say the measurements are 5'2" by 2'4".
Step 1 - Convert everything into inches, so multiply the feet by 12 and add the inches. 5'2" becomes 5x12+2 = 62". Similarly, with 2'4" 2x12+4 = 28".
Step 2 - Calculate the area in square inches. 62" x 28" = 1736 square inches.
Step 3 - Convert square inches into square feet by dividing the number of square inches by 144 (12" x 12"). I get 12.06 square feet.
Let do the case in feet using the same measurements.
Step 1 - convert everything into feet. Since there are 12" in a foot, divide the inches by 12 and add to the feet. 5'2" becomes 5 + 2/12 = 5.16'. Similarly, 2'4" becomes 2 + 4/12 = 2.33'.
Step 2 - calculate the area in square feet. 5.16' x 2.33' = 12.02 square feet.
Step 3 - Convert the square feet to square inches by multiplying the answer in square feet by the number of square inches in a square foot (144). Imagine a square 12" by 12". 12.02 square feet x 144 = 1730 square inches.
Note that I have rounded my answers, thus, they are not equal. To avoid this, keep the answer in your calculator and round only at the end.
I'm going to use the method of elimination to solve for x and y.
Multiply 1) by 3 and 2) by 2 to allow the x's to be eliminated.
1) 6x + 15y = 21
2) 6x + 12y = 6
Now subtract line 2 from line 1.
0x + 3y = 15
---- ----
3 3 divide both sides by 3 to get y by itself.
y =5.
Substitute into 1) to calculate x.
2x + 5(5) = 7
2x + 25 = 7
2x + 25 -25 = 7 - 25
2x = -18
---- ----- divide both sides by 2 to get x by itself
2 2
x = -9
Check by plugging in answer into the other equation, in this case 2)
3 (-9) + 6(5) = 3
-27 + 30 = 3
3 = 3
We did it correctly and checked to prove that we did it right.
Use the rules for exponents and you will calculate it by hand
(1*10^-14)/(5*10^-12)=(1/5)*10^(-14+12)= 0.2*10^-2=2*10-3
To enter powers of 10 use the short-cut key [EE]
For example to enter 6.02*10^23 type in 6.02* [EE] 23. When you use the EE key, the base (10) should not appear.
Press 1 2 MATH left-arrow 4 / 5 MATH left-arrow 4 / 7 MATH left-arrow 4 ENTER to calculate the desired value. Alternatively, you can press 1 2 MATH left-arrow 3 5 ENTER or 1 2 MATH left-arrow 3 7 ENTER to calculate the same thing.
2nd [CLR TVM] (clear old data)
6 2 5 PV (present value) 8 I/Y (annual interest) 1 2 8 4 +/- FV (future value) CPT N / 1 2 = (compute number of months, divide by 12 to get number of years)
3(8)+3(5+3)=x(10+2) First add numbers in ()
3(8)+3(8)=x(12) Now multiply the numbers next to ()
24+24=12x Now add the 24 +24
48=12x Now we have to solve for x. 12x is actually 12 times x. in order to solve for x we have to do the opposite and divide by 12 48=12x
12 12
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