7x=y, because you first multiply y by 7 so you then have to do the same to x, so that gives you 7x=y
Answer:
A) c = 16.5h
B) $74.25
C) 7 hours
Step-by-step explanation:
Bazinga charges $16.50 per hour to dog sit.
Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:
<h3><u>Part A</u></h3>
As explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50
⇒ c = 16.5h
where:
- h = number of hours worked
- c = total charge (in dollars)
<h3><u>Part B</u></h3>
To calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:
⇒ c = 16.5h
⇒ c = 16.5(4.5)
⇒ c = $74.25
<h3><u>Part C</u></h3>
To calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:
⇒ c = 16.5h
⇒ 115.5 = 16.5h
⇒ h = 115.5 ÷ 16.5
⇒ h = 7 hours
The expected profit for the gambler is $4,621
<h3>How to get the expected profit?</h3>
The possible outcomes are:
- Winning $6,500, with a probability of 0.81
- Winning $200, with a probability of 0.08
- Lossing $6,000, with a probability of 0.11
Then the expected profit is:
P = ($6,500*0.81 + $200*0.08 - $6,000*0.11) = $4,621
The expected profit for the gambler is $4,621
If you want to learn more about expected values:
brainly.com/question/15858152
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Answer:
x ≥ -1
Step-by-step explanation:
5(x + 8) = 5x + 40
40 + 5 + 5x ≥ 40
-40 -40
5 + 5x ≥ 0
-5 -5
5x ≥ -5
/5 /5
x ≥ -1