Answer:
He'll be able to make 6 shelves.
Step-by-step explanation:
In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:
total amount = 83 1/2 inches = 83.5 inches
amount per shelve = 12 3/4 inches = 12.75 inches
amount of shelves = total amount/amount per shelve
amount of shelves = 83.5/12.75 = 6.55 shelves
Since he can't make half shelves he'll be able to make 6 shelves and have left over material.
Answer:
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.
First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
This can be mathematically expressed to
250 + X = 1075
where X represents the parts you produce before the shift ends
Transpose 250 to the other side by subtracting each side by 250
Thus, it goes like this
X = 1075 - 250
X = 825
You produced 825 parts in the middle of the shift.
