The theoretical probability of an event is the likelihood that the event will occur. It is calculated by finding the ratio of the number of favorable outcomes to the number of total outcomes. In probability, the total outcomes are the total number of possible outcomes for the probability experiment. (Paraphrase this answer so you don’t get caught for plagiarism)
In 14 hours, the bakery's total expenses and receipts will both equal $448.
<h3>Definition of profit </h3>
Profit is total revenue less total cost. Total revenue is average receipts multiplied by total hours. Total cost is the average hourly operating costs multiplied by total hours.
Profit = total revenue - total cost
<h3>Determining total hours </h3>
The equation that would be used to determine the total hours when the amount used to buy the new equipment would be recovered is: $45h - $13h = $448
$32h = $448
h = $448 / $32
h = 14 hours
<h3>Total expenses and total receipts</h3>
Total expenses = $13 x 14 = $182
Total receipts = $45 x 14 = $630.
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Answer:
c = -2.5
Step-by-step explanation:
13/4 + c =3/4
2.5 + c = 0
c=-2.5
Answer:
x = 10/3
, y = 0
Step-by-step explanation:
Solve the following system:
{4.5 x - 2 y = 15
3 x - y = 10
In the first equation, look to solve for x:
{4.5 x - 2 y = 15
3 x - y = 10
4.5 x - 2 y = (9 x)/2 - 2 y:
(9 x)/2 - 2 y = 15
Add 2 y to both sides:
{(9 x)/2 = 2 y + 15
3 x - y = 10
Multiply both sides by 2/9:
{x = (4 y)/9 + 10/3
3 x - y = 10
Substitute x = (4 y)/9 + 10/3 into the second equation:
{x = (4 y)/9 + 10/3
3 ((4 y)/9 + 10/3) - y = 10
3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
In the second equation, look to solve for y:
{x = (4 y)/9 + 10/3
y/3 + 10 = 10
Subtract 10 from both sides:
{x = (4 y)/9 + 10/3
y/3 = 0
Multiply both sides by 3:
{x = (4 y)/9 + 10/3
y = 0
Substitute y = 0 into the first equation:
Answer: {x = 10/3
, y = 0