The product of two consecutive negative even integers is equal to 30 more than the first. Find the integers. write the solutiojs
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Answer:
The value of x = 3.
Length = 4 feet and Width = 5 feet
Step-by-step explanation:
Height of the box = 2 ft
Length of the box = (3x-5) ft
Width of the box = (2x-1) ft
Volume of the box = 40 cubic feet
Now, VOLUME OF CUBE = LENGTH x WIDTH x HEIGHT
Now, solving for the value of x, we get:
⇒ Either x-3 = 0, or ( 6x+5) = 0
⇒ Either x = 3, or x = -5/6
As x = SIDE OF A CUBE ,so it CANNOT be negative.
⇒x = 3
So, length = (3x-5) = 3(3) -5 = 9-5 = 4 units
Width = (2x-1) = 2(3) -1 = 5 units