Answer:
The Inequality describing the situation is
.
Step-by-step explanation:
Let the number of laps he runs be 
Let the number of laps he swims be 
Now Given:
Time required to run each lap = 3 min
Time required to swim each lap = 2 min
Total minutes he need to exercise more than 45
we need to write the Inequality representing the same.
Solution:
Now we can say that;
Time required to run each lap multiplied by the number of laps he runs plus Time required to swim each lap multiplied by the number of laps he swims should be greater than Total minutes he need to exercise.
framing in equation form we get;

Hence The Inequality describing the situation is
.
The solutions are (0, - 6) ,(7, 8)
The given system of equations is expressed as
y = x² - 5x - 6- - - - - - - - - - - - (1)
y = 2x - 6- - - - - - - - - - - (2)
We would apply the method of substitution by substituting equation 2 into equation 1. It becomes
x² - 5x - 6 = 2x - 6
x² - 5x - 6 = 2x - 6
x² - 5x - 2x - 6 + 6 = 0
x² - 7x = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
x = 7 or x = 0
Substituting x = 0 into equation 2, it becomes
y = 2 × 0 - 6
y = - 6
Substituting x = 7 into equation 2, it becomes
y = 2 × 7 - 6
y = 14 - 6
y = 8
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Answer:
$18.15
Step-by-step explanation:
We have been given that In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
To find sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.

Now let us find county sales tax for handbag purchase.

Now let us add both amount to get total tax paid by Yuki.


Therefore, Yuki paid $18.15 sales tax for her handbag purchase.
Answer:
3.40 rad
Step-by-step explanation: