Answer:
Company A is a better deal than Company B for the number of miles greater than 295 miles
Step-by-step explanation:
Let
y ----> the charge per week in dollars
x ----> the number of miles
we have
<em>Company A</em>
-----> equation A
<em>Company B</em>
-----> equation B
Solve the system by substitution
Equate equation A and equation B and solve for x


For x=295 miles the charge in Company A and Company B is the same
therefore
Company A is a better deal than Company B for the number of miles greater than 295 miles
Please consider the attached graph.
We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.
We will use trigonometric area formula to solve our given problem.
, where angle b is angle between sides a and c.
For our given triangle
and measure of angle b is 150 degrees.



Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.
Let x be the number of hours of nagging groceries spent by Ethan. With this representation, the number of hours for moving lawns will be x + 10. The equation that would let us solve this item is,
6x + 7.50(x + 10) = 129
The value of x from the equation is 4. Thus, the number of hours spent for moving lawns is 14 hours.
The answer to the problem is y^12