Write 36y divided by 9y in standard form .
1 answer:
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Answer: f(x) = 1.2(x/2) if 120 ≤ x ≤ 240
Step-by-step explanation:
Let, she made f(x) sundaes in x minutes.
Then according to the question,
She just makes sundaes for a single shift of at most 4 hours and at least 2 hours,
⇒ She can make sundaes for a single shift of at most 240 minutes and at least 120 minutes,
That is, 120 ≤ x ≤ 240
Now, She can prepare 1 sundae every 2 minutes,
⇒ She can prepare 1/2 sundae every 1 minutes,
⇒ She can prepare x/2 sundae every x minutes,
Also, she earns $1.20 for each sundae she makes.
Thus, her total earning in x minutes,
⇒
Where, 120 ≤ x ≤ 240
Which is the required function related her earnings to the number of minutes she works.
The factored form of 10xy - 15y is 5y(2x - 3)
<em><u>Solution:</u></em>
Given that, we have to write the given expression in factored form
<em><u>Given expression is:</u></em>
10xy - 15y
To find the factored form, let us first find the greatest common factor of 10 and 15
The factors of 10 are: 1, 2, 5, 10
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 5
Thus, factor out 5 from given expression
Now factor out the common term "y"
Thus the factored form is found