Answer:
The answer is 16.
Step-by-step explanation:
When you calculate the ratio of 42:28, you would get 3:2. divide 24 by 3, and you get 8. Then multiply 2 by 8 you get 16.
Answer:
23
Step-by-step explanation:
The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.
<h3>How to simplify a rational expression?</h3>
A rational expression is in the p/q form. Where p and q are polynomial functions.
To simplify this rational equation,
- Factorize the polynomials in both numerator and denomiantor.
- Cancel out common factors if any.
- If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.
<h3>Calculation:</h3>
The given rational equation is

Factorizing the expression in the numerator:
y² - 12y + 27 = y² - 9y - 3y + 27
⇒ y(y - 9) - 3(y - 9)
⇒ (y - 3)(y - 9)
Factorizing the expression in the denominator:
y² - 6y - 27 = y² - 9y + 3y - 27
⇒ y(y - 9) + 3(y - 9)
⇒ (y + 3)(y - 9)
Since they have (y - 9) as the common factor, we can simplify,

⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)
Here there are no more common factors except 1; this is the simplest form of the given rational expression.
Learn more about simplifying rational expressions here:
brainly.com/question/1928496
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Range: the set of all y-values of a graph or equation.
Y-intercept: the y-value where the graph intersects the y-axis.
Domain: the set of all x-values of a graph or equation.
X-intercept: the x-values where the graph intersects the x-axis.
Hope this helps! :)
<h2>Percent of speed the machine increase is 20%</h2>
<h2>Given that;`</h2>
Number of ice cream produced before = 45
Number of ice cream produced after = 54
<h2>Find:</h2>
Percent of speed the machine increase
<h2>Computation:</h2>
Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
<h2>Learn more:</h2>
brainly.com/question/15013012?referrer=searchResults