Answer:
x=-4
Step-by-step explanation:
5x=3x-8 you subtract 3x from both sides.
2x=-8 then you divide by the number next to the x. meaning 2
x=-4
Although the terms might seem intimidating, this is a simple substitution problem.
X + Y = _______
Substitute the values of X and Y in terms of w
(7w^2 + 4w - 6) + (w^2 - 11w + 13) = ______
Now all you need to do is combine like terms (terms that have the same variables raised to the same power)
8w^2 - 7w + 7
Final Answer: 8w^2 - 7w + 7
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If the area of a square is 169, what is the length of its side?
13 = sqrt169
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Answer: The secretary's salary prior to the reduction was $42,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)
Mathematically speaking:
x (4.5/100)= 1890
Solving for x:
x (0.045)= 1890
x = 1890/ 0.045
x = 42,000
The secretary's salary prior to the reduction was $42,000.
Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is, 
Length is 15.75 inches shorter than twice the width. So, length is:
Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:
Plug in the values of 'l' and 'P' and solve for 'w'. This gives,
Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is, 
So, length of the picture is 45.37 inches and width is 30.56 inches.
