Mary draws the number line below to represent the solution set of the inequality 50 – 8t < 90. What mistake did Mary make? Us
2 answers:
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Answer:
t > - 5
Line is in the wrong side
Step-by-step explanation:
Given the inequality :
50 – 8t < 90
-8t < 90 - 50
-8t < 40
-8t / - 8 < (40/ - 8)
t > - 5 (sign changes)
During simplification, we should observe that the inequality sign changes due to negative sign. Hence, our final inequality equation read t > - 5 ; thus, arrow should point to the right
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Answer:
area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
Step-by-step explanation:
- let, the shape of the bulletin board is a rectangle,
- then the perimeter of it = sum of all sides
= 2[length+width] = 2[l+w]
(let l: length, w : width )
- so, 200 = 2[l+w]
100= l+w ( dividing both the sides by 2)
so, l= 100-w
- area = length*width=l*w=[100-w]*w
- therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-