Answer:
the nonlinear system of equations have D. three solutions
Answer:
100
Step-by-step explanation:
In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.
This can also be proven through cross multiplication. To set up a proportion put the percent over the number like,
. Then cross multiply to get the equation,
. Finally, divide both sides to get x=100.
Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
<u>Where</u>:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
Now, the speed of the larger gear is:
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
Yes, because no matter how many 0's are after the decimal, the number stays the same.
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