What you need to do is that you plug p=3 into the expression [(5.4p+5)+(8+3.2p)]/2 and you have:
[(5.4*3+5)+(8+3.2*3)]/2
= (21.2+ 17.6)/2
= 38.8/2
= 19.4
The average of the two boys' points is p=3 is 19.4 points~
There is only 1 remaining side
We have 2 sides and an included angle, we use the Law of Cosines to solve the third side:
c^2 = a^2 + b^2 -2ab *cos(C)
c^2 = .5^2 + .333333333...^2 - 2 * .5 * .3333333... * cos (95)
c^2 = .25 + .1111111111111111... -2*.5*.3333333333...* -0.087156
c^2 = 0.3611111111 + 0.029052
c^2 = 0.3901631111
c = 0.6246303796
A. To answer this question, we must consider two inequalities. The first inequality we will construct is regarding the number of tickets sold with respect to capacity. The theater cannot exceed the allotted 200 seats, so this would indicate we would use a less than or equal to inequality. The inequality we would construct to illustrate this using adult and child tickets is x + y <= 200.
The second inequality we will construct is based upon the ticket prices set and the theater’s goal. The problem indicates the theater wants to sell “at least $1,500 worth of tickets...” To create the inequality here, we will create it as follows: 12.5x + 6.25y >= 1,500.
To find the intersection point, we must isolate y. In order to do this, move x to the other side of both inequalities. Inequality 2 can be simplified to y >= -12.5x / 6.25 + 1,500 / 6.25. Graph and identify the solution from there.
Answer:
121 days; 30 full days
Step-by-step explanation:
to find how much days she takes you divide 2175 by 18
2175 / 18 is 120.833333
it will take her at least 121 days because you need to round up
the last portion of the hike would be a quarter of the hike
you would divide the final time by 4 and that is your answer
121 / 4 is 30.25
you have to round down because .25 is not a full day
she hiked 30 full days
