Answer:
The width of the rectangle is <u>38</u>.
Step-by-step explanation:
I know this because if I divide the area by the length then I should get the width.
So 1824/48=<u>38</u>
Answer:
They are both the same at 3/4 of an hour
Step-by-step explanation:
We have a system of equations here. The first one is for Friday:
3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.
The second equation is for Saturday:
9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.
We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:
-9A - 15B = -18
9A + 7B = 12
You can see that the A's are eliminated, and adding what remains leaves us with
-8B = -6 so
B = 3/4 hour
Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:
9A + 7(.75) = 12 and
9A + 5.25 = 12 and
9A = 6.75 so
A = .75 which is also 3/4 of an hour
Answer:
u•u = 17
u•v = 13
v•u = u•v = 17
v•u/u•u = 13/17
Step-by-step explanation:
Given 2 column matrices
u = [-1 4] and v = [7 5]
Note that when computing product, we will multiply component wise.
To compute u times u, we will take the dot product of both column matrix.
u•u = [-1 4] • [-1 4]
u•u = (-1)(-1) + (4)(4)
u•u = 1+16
u•u = 17
To compute u times v, we will take the dot product of column matrix u and column matrix v.
u•v = [-1 4] • [7 5]
u•v = (-1)(7) + (4)(5)
u•v = -7+20
u•v = 13
v•u/u•u can be gotten by simply substituting the resulting values.
v•u/u•u = 13/17
The price would then be $12.25.
Answer:
1000
Step-by-step explanation:
Divide 300,000 with 300
300000/300 = 1000
1000 is your answer
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