Answer:
the radius is 13
the diameter is 40.82 inches squared
the area is 530.66
Step-by-step explanation:
Answer:
How old are you exactly?
Step-by-step explanation:
(7t-2) - (-3t+1) = -3*(1-3t)
First distribute:
7t-2+3t-1 = -3+9t
Now get all the terms with 't' on the same side by subtracting/adding:
7t+3t-9t = -3+2+1
Combine the terms:
1t=0
t=0
Check:
Plug in 0 for t and see if both sides of the equation come out the same:
Does (7(0)-2) - (-3(0)+1) = -3(1-3(0)) ?
(-2) - (1) = -3(1) ?
-3 = -3 ?
Yes! It works, so t=0!
Answer:
Step-by-step explanation:
We have been given an equation 
. We are asked to find the solutions of our given equation.
First of all, we will cross multiply our given equation as:
Subtract 
from both sides:
Now we will factor out 
.
Now we will factor by splitting the middle term.
Now we will use zero product property and solve for x as:
Now, we will check for extraneous solutions.
We can see that 
will make both denominators zero because our function is not defined at .
Therefore, the solution for our given equation is .
Answer:
The owner's profit for a ten-day period is $4675
Step-by-step explanation:
Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.
Let's find the revenue.
Revenue = 200($1.50) + 85($3.50)
= $300 + $297.50
Revenue per day = $597.50
Revenue for 10 days = 10($597.50) = $5975
Business expenses per day = $130
Business expenses for 10 days = 10($130) = $1300
Now let's find the profit.
Profit for 10 days = Revenue - Expense
= $5975 - $1300
= $4675
So the owner's profit for a ten-day period is $4675
