The linear equation that represents the <u>number of tiles in figure x</u> is given by:
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A linear equation has the format:
In which:
- m is the slope, that is, the rate of change.
- b is the y-intercept, that is, the value of y when x = 0.
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- Figure 0 has 5 tiles, that is, when
, thus 
- Seven new tiles in each figure, that is, a rate of change of 7, thus
The number of tiles in figure x is given by:
A similar problem is given at brainly.com/question/16302622
Solution:
As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.
We consider a line , one dimensional if it's thickness is negligible.
So, Line is two dimensional if it's thickness is not negligible becomes a quadrilateral.
So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis)= Area of line segment between [,y=6 and y=1/2.]= 6-1/2=11/2 units if we consider thickness of line as negligible.
For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3
awnser: 42
step by step:
1. find the racio of both
2.multiply the awnsers by 7
3.finally subtract
