The greatest common factor is 2z^3.
In order to find the greatest common factor, always start with the coefficient of the lowest term. Let's see what the factors of 14 are.
Factors of 10: 1, 2, 5, 10
Now we look to see which are also factors of the next highest number.
Factors of 14: 1, 2, 7, 14
Only 1 and 2 are similar factors. Since 2 is also a factor of 70, 2 in the coefficient of our greatest common factor.
Next we look for the term with the least number of z's. 14z^3 is the least number of z's. This means we can take out z^3. Giving us the final answer of 2z^3.
See, in these type of questions always first assume your original price to be x. And now try to write whatever information is given to you.
Now, you have that it has been sold for 12% profit, so basically it is sold at. (1 + (12/100))x = 1.12x
Now it is given that if it had been sold for 33₹ more. I.e. if it had been sold at. 1.12x + 33
Net gain would have been 14%.
So gain of 14%, means the cost to be (1+(14/100))x = 1.14x
And basically both 1.12x +33 and 1.14x are final costs, so
1.14x = 1.12x + 3
=> 1.14x - 1.12x = 3
=> 0.02x = 3
=> x = 3÷0.02
=> x= 1650₹
So original cost is 1650₹.
Hope you understand the solution and the way to tackle these type of problems if not then let me know.
hope it helps
pls mark my anwers as brainiest
The correct answer for the question that is being presented above is this one: "<span>A) The temperature only adds 14 to the damage index." </span>Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature.
A. 20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 8a + c = 100
B. 10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 8a – c = 100
C. 10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 8a + c = 100
D. 20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 8a – c = 100
hope it helped
