6.
2 answers:
Answer: The correct option is (C) Associative Property of Addition.
Step-by-step explanation: We are given to name the property that the following equation illustrates:
Let us consider that
a = -5, b = 8 and c = 10.
Then, equation (i) becomes
which is the associative property of addition for the real numbers a, b and c.
Thus, the given equation illustrates the associative property of addition.
Option (C) is CORRECT.
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Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
So, the numbers are,
Similarly,
And,
Therefore, the three unknown numbers are 52, 64, 96.