Answer: Total molding cost is $197.20.
Step-by-step explanation:
Since we have given that
Length of oil painting frame = 22 inch
Width of oil painting frame = 30 inch
Width for molding = 4 inches
So, Length after molding would be
4+22+4 = 30 inches
Width after molding would be
4+30+4 = 38 inches
So, Perimeter of molding would be

Cost per inch = $1.45
So, Total molding cost would be

Hence, Total molding cost is $197.20.
Answer:
12
Step-by-step explanation:
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
25 * 3 = 75
87 - 75 = 12
Let us check the transformations. The first step is regarding the argument of the function, the -2x part. So, first of all, the minus sign implies that the function is reflected along the y-axis since f(x) is replaced with f(-x). However, cosx is symmetric along that axis so there is no change on the graph. Also, the 2 factor means that the function is compressed along the x-axis, since now f(2) corresponds to f(1) etc. (if we substitute 1 in the cos(2x), it is as if substituting 2 in the origninal function cosx). Finally, we have that the factor 3 in front of cos, implies that the function is dilated along the y-axis; the highs become 3 times higher and the lows 3 times low.
Answer:
<h2><em><u>m</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>6.43</u></em><em><u> </u></em><em><u>(</u></em><em><u>approx</u></em><em><u>. </u></em><em><u>)</u></em></h2>
Step-by-step explanation:
49 - 3m = 4m + 4
=> 49 - 4 = 4m + 3m
=> 45 = 7m

=> 6.428571... = m
=><em><u> m = 6.43 (approx. ) (Ans)</u></em>