Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
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<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.
I will show you how to do first one but it is simple addition and subtraction.
7y + 5 + (3 - y)
We just combine like terms
7y - y + 5 + 3
6y + 8
I will do the second one for subtraction
5 + 5q - (3q - 9)
since the subtracroon sign is outsiDr patenthesis you have to apply it to both terms
5 + 5q - 3q + 9
since it was -9 it became --9 which is +9
so:
5q - 3q + 5 + 9
2q + 14
Answer:
6x - 3
Step-by-step explanation:
Step 1: Write out expression
2 - 3x - 5 + 9x
Step 2: Combine like terms (x)
2 - 5 + 6x
Step 3: Combine like terms (constants)
-3 + 6x
Step 4: Rewrite
6x - 3
I guess the answer is 48 cup cakes
