Answer: a=-0.75
Step-by-step explanation:
14a - (2a +9)=2/3 (12a-18)
14a - 2a -9=2/3 * 6(2a-3)
12a-9=2*6/3 (2a-3)
12a-9=2*2(2a-3)
12a-9=4(2a-3)
12a-9=8a-12
4a-9=-12
4a=-3
a=-3/4
a=-0.75
Solve for x. Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, multiply 3 to both sides
6(3) = ((x + 2)/3)(3)
18 = x + 2
Finally, isolate the x. Subtract 2 from both sides
18 (-2) = x + 2 (-2)
x = 18 - 2
x = 16
16 is your answer for x
hope this helps
Answer:
Explanation:
1. x represent the copybook while y represent the pen that is bought.
2. 2x + 3y = 9000 means that in order to buy 2 copybooks and 3 pen you have to pay 9000 LL.
3. Solve for the price of x and y
2x + 3y = 9000 (1)
4x + 2y = 8000 (2)
Multiply (1) by -2:
-2(2x + 3y = 9000)
4x + 2y = 8000
——————————
-4x - 6y = -18000
4x + 2y = 8000
—————————
-4y = -10000
y = -10000/-4
y = 2500
Substitute y value into (2):
4x + 2(2500) = 8000
4x + 5000 = 8000
4x = 3000
x = 3000/4
x = 750
Therefore, 1 copy book = 750LL and 1 pen = 2500 LL
Only if the individual doing the calculation makes a substantial mistake.
Any fraction with the same quantity in the numerator and denominator
always has the value of ' 1 ', (provided only that the quantity is not zero).
The goal is to get the volume as large as possible while the surface area is made as small as possible. Why? Because the volume is the amount of stuff you can hold and the surface area is the amount of material to make the container.
Consider an example of making a cup. The inside portion is the amount the cup can hold. The more liquid, the better. The cup makers want to use as little material as possible so that they reduce costs. If the cup makers produce a cup that has volume of 10 cubic inches and uses 10 square inches of material, then the surface area to volume ratio is 10:10 which reduces to 1:1. A more efficient cup is made if that same volume (10 cubic inches) can be made for less material say 5 square inches to make the ratio now 5:10 which reduces to 1:2.
So in summary, reducing the surface area to volume ratio will make more sense economically as the company makes more money while reducing costs (therefore increasing overall profit)