Answer: ( P - 10 )/12, (2x + 5)(4x + 1)
Step-by-step explanation:
The length of the rectangle = 4x + 1,
The breadth = 2x + 5
Formula for finding perimeter of a rectangle, = 2( L + B )
Now, substitute for L and B in the formula, open the formula and simplify,
= 2(4x + 1 + 2x + 5 )
= 2(6x + 5 )
= 12x + 10
Therefore, the perimeter (p)of the rectangle, = 12x + 10.
If P = 12x + 10
12x = P - 10
x = ( P - 10 )/12
Area of a rectangle = L x B
=( 4x + 1 )( 2x + 5)
We therefore open the brackets
(4x + 1)(2x + 5)= 4x X 2x + 4x X 5+ 1 X 2x + 1 X 5
= 8x² + 20x + 2x + 5
A = 8x² + 22x + 5
A = (2x + 5)(4x + 1)
1. 25 x 0.39 = $9.75
2. 5.56 + 5.81 = 11.37, 11.37/2 = 5.685
7.
10% = 6
25% = 15
50% = 30
20% = 12
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8.
a = 35
b = 105
c = 140
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9.
15 is 30% of 50.
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10.
The punch recipe contains 25% lemonade:
24/6 = x/100
x=1/4 x 100 = 25%
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11.
520
multiply 650 by 80 amd then divide by 100
or simply multiply 650 by 0.8
to get 520 students.
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12.
Number of items checked = 300
Defective items = 3%
Number of defective items =
Number of defective items =
Number of defective items = 9
Number of items worked = Total items - Number of defective items
Number of items worked = 300 - 9 = 291
291 items of checked items worked.
The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.
Answer:
12k+3n
Step-by-step explanation:
