Answer: False
Nothing is 100% certain no matter how sure it seems. This is especially true with statistics. There's always going to be some amount of error. The goal is to minimize the error as much as possible in the best cost-effective manner.
The correct answers are B and C.
Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.
A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.
B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.
C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.
D does not work; 26 is not a multiple of 6.
E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.
Factor 11 x^2 y^2 out of both the numerator and the denominator to get 2(11 x^2 y^2)/11x^2 y^2, which is clearly equal to 2.
Answer:
x = 10
Step-by-step explanation:
Solve for x:
2 (x + 2) - 7 + x = 27
2 (x + 2) = 2 x + 4:
2 x + 4 + x - 7 = 27
Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):
(2 x + x) + (4 - 7) = 27
2 x + x = 3 x:
3 x + (4 - 7) = 27
4 - 7 = -3:
3 x + -3 = 27
Add 3 to both sides:
3 x + (3 - 3) = 3 + 27
3 - 3 = 0:
3 x = 27 + 3
27 + 3 = 30:
3 x = 30
Divide both sides of 3 x = 30 by 3:
(3 x)/3 = 30/3
3/3 = 1:
x = 30/3
The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:
Answer: x = 10
