45
36 to R AND B
36/5=7.2
7.2x2=14.4 for Roger
7.2x3=21.6 for Bethan
No, because if you substitute (4, -2) into x and y in each equation, they are not the same as the value on the right side of the equation.
2(4) + 4(-2) = - 2
8 + -8 = -2
0 = -2 <---- this is not correct.
-4(4) + -2 = -14
-16 + -2 = -14
-18 = -14 <----- this is not correct.
6 cases ordered
'p' jars in each case
Total number of jars is (6 cases) x (p jars/case) = 6p jars
Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.
I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
Answer:
2.8
Step-by-step explanation:
1) find the mean of the data set. = 15
2) find the abs value of the diff between each data value and the mean: |data value – mean|.
|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2
3) find the sum of the abs values of the diff = 14
4) divide the sum of the abs value by the number of data values = 14/5 = 2.8
Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)

Now we substitute x in the second equation:

Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:


Since this system of equations doesn't have a solution, the system has no point of intersection.