Answer:
A rational number.
Step-by-step explanation
A rational number is a ratio of whole numbers.
1/3 is the ratio of 1:3
3:1 becomes 3/1 = 3
32:10 can be written 32/10 or 16/5 or 3.2
16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.
Therefore, 3.2 which can be expressed as 16/5 is a rational number.
1) Final expression: 
2) Final expression: 
Step-by-step explanation:
1)
The first expression is
First, we remove the 2nd bracket by changing the sign of all the terms inside:
Now we group the terms with same degree together:
Now we solve the expression in each brackets:
So, this is the final expression.
2)
The second expression is
We apply the distributive property, so we rewrite the expression as follows:
Solving both brackets,
Now we group terms of same degree together:
And solving each bracket,
So, this is the final expression.
Learn how to simplify expressions:
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Answer: Yes.
Step-by-step explanation:
First ratio
5 : 15
Simplify (divide both sides by 5)
1 : 3
Second Ratio
3 : 9
Simplify (divide both sides by 3)
1 : 3
Answer: m² + 3m - 10 = 0
Step-by-step explanation:
From the expression, considering
6x + 5 = m
The original expression
( 6x + 5 )² - 10 = -18 - 15
Factorize the right hand expression,
-18 - 15 = -3( 6x - 15 )
Since m = 6x + 5 , we now substitute for m in that expression
m² - 10 = -3m
Now re arrange the equation in the form,
ax² - bx + c = 0
Now back to the equation,
m² + 3m - 10 = 0,
So the equivalent equation will be
m² + 3m - 10 = 0
