Answer:

Step-by-step explanation:
let the denominator of the original fraction be x, then
← is the original fraction
After the given changes, that is
=
( cross- multiply )
6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides
6x - 42 = 3x + 48 ( subtract 3x from both sides )
3x - 42 = 48 ( add 42 to both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
=
← the original rational number
Answer:

Step-by-step explanation:
The given expression is 
The distributive property is given by

Using the distributive property, distribute x^5 over the parenthesis

On simplifying, we get

Therefore, the equivalent expression is 
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Answer:
y = 5x + 2
Step-by-step explanation:
Standard form of Equation of line: y = mx + c
where m = slope or gradient,
c = y-intercept
From the question we know that:
x = - 1
y = - 3
m = 5
We will substitute these values into the equation to find c.
- 3 = (5)(- 1) + c
- 3 = - 5 + c
c = - 3 + 5 = 2
Therefore the equation of this line is: y = 5x + 2
A is the right one:
a. 3:4=9:12
3×3:4×3=9:12