Answer:
one-quarter times the number of pears, plus four and one-half is forty-four and one-half
Step-by-step explanation:
The total weight (44.5 lb) will be the sum of the empty weight (4.5 lb) and the number of pears multiplied by the pear's weight. That can be expressed as ...
one-quarter times the number of pears, plus four and one-half is forty-four and one-half
Answer: The word "ensures" implies that it is certain.
In the case of the study, they simply found that the average salary is greater for college graduates. This doesn't mean that in every case the college graduate makes more money.
The problem is the word "ensures". Our study doesn't show certainty only a general pattern.
Answer: D (5/2, -17/4)
Step-by-step explanation: Using elimination your goal is to get rid or 1 variable so you can solve for the one that's left. By adding the -2y and 2y you will get 0. You will also add the 3x+x (4x) and -1+11 (10). You have now gotten rid of the y and have 4x=10. By dividing each side by 4 we now know x =2.5. D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11
2.5-2y=11
-2y=8.5 Answer D (5/2,-17/4) y=-17/4 (4.25)
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.
Area of a rectangle=length x width.
Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)
Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x
Answer: the area of the shaded region would be: 38x²-12x
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