Response:
.
Detailed explanation:
We have a set of equations provided. Our task is to find the solution for this system.
Starting from equation (2), we will derive:
Next, by inserting this value into equation (1), we will achieve:
After multiplying both sides by 3, we will arrive at:
Now substituting this back into equation (2), we will find:
Thus, the solution to our specified set of equations is .
Aubrey's dinner totaled $85. For excellent service, she tips the waitstaff 30%. The tip amount is $25.5. To calculate the tip, we start with the total cost of the dinner, which is $85, and apply the 30% tip rate. So, 30% of $85 is calculated as: Tip = 30% of 85. This results in Aubrey tipping the waitstaff $25.5.
There were 30 adults and 10 children, totaling 40 attendees. Just sum them together.
In each instance, when it sheds a shell, its size increases by a factor of 1 1/3. To determine the growth after the first molt, multiply 1 cm by 1 1/3 to get 1 1/3 cm. To find the next size, repeat the multiplication: 1 1/3 cm times 1 1/3 cm equals 16/9. This process will continue by multiplying by 1 1/3. We can express it mathematically as (initial size) * 1 1/3 *(number of shells) equals length or 1 cm * 1 1/3 * n equals L. Given that the final length is 10 cm, accordingly, 1 1/3 * n equals 10 cm, leading to n being 7.5 shells, which translates to either about 7 or 8 shells.
1 product = $65.00
20 products = 65 x 20 = $1300
Sales Tax is 3.5% of $1300 = 0.035 x $1300 = $45.50
Grand total = $1300 + $45.50 = $1345.50
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Response: $1345.50
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