Answer:
Option # C: 5
Step-by-step explanation:
Decision variables, as the name imply are entities that can have different values in the given scenario and which in turn produce different outcomes. For our question, the variables are the sizes of TVs available, as the production time and profit depend on the sizes. Hence, TV sizes (i.e. 5) are our decision variables.
Furthermore, it does not matter on which machine the TVs are being manufactured as they will take identical time for same TV size. Thus we do not consider the number of machines as our decision variables.
Its algebra. The original equation is

To solve for a variable, we reverse the order of operations, beginning with addition/subtraction, and then multiplication/division. To remove a number from one side, we must do the opposite to the other side. In this case, to get rid of the -121 we must add 121 to the -164. This gives us -43. Then, to get the x by itself, we must multiply the other side by 3. -43*3=129
When we are doing the opposite of an operation to the other side, we are really reversing the operation and, to keep both sides equal, we must do whatever we have done to one side to the other side. So when we have -121, we add 121 as it equals 0, therefore it is gone. Since a equation must be balanced, we have to do what we did to the other side (adding 121).
Answer:
20 and 3/16
Step-by-step explanation:
Answer:
578×176=20316
Solution with Steps
578×176=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
57×178×6=96948
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 969 and 48 using
GCF(969,48) = 3
969÷348÷3=32316
The fraction
32316
is the same as
323÷16
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
Solution by Formulas
Apply the fractions formula for multiplication, to
578×176
and solve
57×178×6
=96948
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(969,48) = 3
969÷348÷3=32316
Convert to a mixed number using
long division for 323 ÷ 16 = 20R3, so
32316=20316
Therefore:
578×176=20316
Answer:22
x-10=12
x= 10+12
x=22