Mathematics: Jason is training to run in a marathon. His goal for this week is to run a minimum of 330 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the number of miles, m, he would need to run each day for 4 more days to achieve his goal? A- 4m + 15 ≥ 330 B- 4m + 15 330 C- 4m – 15 ≥ 330 D- 4m + 15 ≤ 330

Jason is training to run in a marathon. His goal for

kx85DirtbikeRider

08.01.2023

Dimension of the picture with 9ft strip of wood is

length = 2.25 ft and width =2.25 ft

Given :

you want to frame a collage of picture with a 9ft strip of wood.

the perimeter of the frame is 9 ft

Perimeter of rectangle = 2(length +width )

Let 'l' be the length and 'w' be the width

$Perimeter =2(l+w)\\9=2(l+w)\\Divide \; by \; 2\\l+w=4.5\\l=4.5-w$

Now we find the area

$Area = length \cdot width \\Area= l \cdot w\\A= (4.5-w)(w)\\A=-w^2+4.5w$

Now we find out 'w' where area is maximum

$w=-\frac{b}{2a} \\a=-1 and b=4.5\\w=-\frac{4.5}{2(-1)} =2.25$

Width =2.25 gives us maximum area

Now find out the length ,

$Length = 4.5 -w\\w=2.25\\Length = 4.5-2.25=2.25$

Dimension of the picture is length = 2.25 ft and width =2.25 ft

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