Answer:
x=15
Step-by-step explanation:
the angle 7x+12 and 63 are on opposite sides of complimentary, meaning they add to 180.
180-63 = 117
117-12 = 105
105/7 = 15
No because u would multiply to get a common denominator and it would be 4/6 5/6
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.
Answer:
B. 
Step-by-step explanation:
Let
, we proceed to find its equivalent expression by applying logarithm properties:
1)
Given.
2)
Definition of logarithm.
3)

4)

5)
Compatibility with addition/Existence of additive inverse/Modulative property
6)
Symmetrical property/Result.
Hence, the right answer is B.
If 12 donuts cost $8.50, you can divide $8.50/12 donuts (presumably with a calculator) to get $0.7083/donut which rounds to $0.71/donut. Make sense?