Greater number would be = 9 x 6 = 54
Smaller number would be = 9 x 5 = 45
Step-by-step explanation:
Given that the Greatest Common Factor (GCF) of two whole numbers is 9.
Also the ratio is 6:5.
As we know that GCF is the greatest number that divides the two number.
So, if the ratio of two number is 6:5 then the greater number would be:
Greater number would be = 9 x 6 = 54
Smaller number would be = 9 x 5 = 45
Both the number have the ratio of 6:5 (54/45 = 6/5) and have a GCF of 9.
Keywords: Greatest Common Factor (GCF), ratio
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Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Equation
(x + 5)/(x² + 7x + 10) = (x - 4)/ (x² - 2x - 8)
Process
1.- Factor both denominators
x² + 7x + 10 = (x + 5)(x + 2)
x² - 2x - 8 = (x - 4)(x + 2)
2.- Substitute
(x + 5) / (x + 5)(x + 2) = (x - 4)/(x - 4)(x - 2)
3.- Simplify
1/(x + 2) = 1/(x - 2)
4.- Solve for x (cross multiplication)
x - 2 = x + 2
x - x = 2 + 2
0 = 4
5.- Conclusion
The solution is all real numbers except -5, -2 and 4.