Answer:
Step-by-step explanation:
1st way:
Solve directly
6p=0.6(5p+15)
Open bracket
6p = 3p + 9
Collecting like terms
6p - 3p = 9
3p = 9
Dividing by 3
p = 9/3
p = 3
2nd way:
6p=0.6(5p+15)
Convert the decimal to fraction
6p= 6/10(5p+15)
6p= 3/5(5p+15)
6p= 3/5(5p) +3/5(15)
6p = 3p + 9
Collecting like terms
6p - 3p = 9
3p = 9
Dividing by 3
p = 9/3
p = 3
Answer:
perimeter is sum of all four sides; two of which are '4j' and other two are 60 inches each
Step-by-step explanation:
P= 2(4j) + 2(60)
We know perimeter is 400 inches
400 = 8j + 120
8j = 280
j = 35
3/5/5
3/5/5/1
(3/5)(1/5) - flip when dividing
3/25
Answer:
4L +4W +16 square inches
Step-by-step explanation:
The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.
border midline length = 2((L+2) +(W+2)) = 2L +2W +8
Then the border area is ...
border area = (border width)(border length) = (2)(2L +2W +8)
border area = 4L +4W +16 . . . square inches
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You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:
border area = total area - canvas area
= (L+4)(W+4) -LW = LW +4L +4W +16 -LW
= 4L +4W +16 . . . . square inches
