Answer: 3630
Step-by-step explanation:
Given that:
Volume of container = 98,000 cubic volume
Volume of cabinet = 27 cubic volume
The number of cabinets which the container will. Hold equals:
Volume of container / volume of cabinet
= 98000 cubic volume / 27 cubic volume
= 3629.6296
The container will hold approximately 3630 27 cubic volume of cabinet.
Answer:
17.5
Step-by-step explanation:
|-10.5| + 7 = their combined distance
=17.5
Step-by-step explanation:
For y/x to be as high as possible, y must have the highest possible value and x must have the lowest possible value. (12 and 6)
Hence, y/x < 12/6, which is 2.
For y/x to be as low as possible, y must have the lowest possible value and x must have the highest possible value (10 and 7)
Hence, y/x > 10/7.
Combining the 2 inequalities, we have 10/7 < y/x < 2.
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is

The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):


That's standard form; let's plug in the numbers:


Answer:
Length: x + 5
Step-by-step explanation:
x² + 8x + 15 = length × width
x² + 8x + 15
x² + 5x + 3x + 15
x(x + 5) + 3(x + 5)
(x + 5)(x + 3)
Width: (x + 3)
Length: (x + 5)