Answer:
11 games
Step-by-step explanation:
17+6=23
23/2=11.5
Victoria can play 11 games. You'd usually round up, but in this case you can't play half a game so she'll play 11 games and have one quarter leftover.
Answer: 1.4
Step-by-step explanation:
To calculate the grade point average you have to sum all the points of each course multiplying the hours and then diveded by the total number of hours she did.
She earned a grade B in her 4 hour topology course, so she has 3*4 points.
In her 11 hour gouvernment course, she earned a grade D, so she has 1*11 points. In the 2 hour biology course she earned a grade D, so she has 1*2 points and in her 3 hours studio art course she had also a grade D, so she has 1*3 points
She has done 3+2+11+4 hours of subjects=20.
The total average is (3*4+1*11+1*2+1*3)/20=28/20=1.4
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
Given:
x is a number between 8 and 12 exclusive.
To find:
The value of x.
Solution:
It is given that x is a number between 8 and 12 exclusive. It means the value of x lies between 8 and 12 but 8 and 12 are not included.
The whole numbers for range are 9, 10, 11.
Therefore, the values of x are 9, 10, 11 and the value of x in the form of inequality is .
The x-intercept is the point on the graph where it crosses the x-axis. It’s also the value of the x-coordinate when y = 0.
To find the x-intercept, set y = 0:
-5x + 1/5(0) = 15
-5x + 0 = 15
-5x = 15
Divide both sides by -5:
x = -3.
Therefore, the x-intercept is (-3, 0).
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