Twenty percent of a certain number is 16. find the number. And show your work.
1. Twenty percent of a certain number is 16. Find the number.
2.The length of a rectangle is 5 meters more than twice the width. The perimeter
of the rectangle is 46 meters. Find the length and width of the rectangle.
3. One angle of a triangle is 47 degrees of the other two angles, one of them
is 3 degress less than three times the other angle. Find the measures of the two angles.
Please show all work.
1. 0.2x = 16
5 * 0.2x = 16 * 5
x = 80
2. L = 2W + 5
P = 2L + 2W
46 = 2(2W + 5) + 2W
46 = 4W + 10 + 2W
46 = 6W + 10
36 = 6W
6 = W
L = 2W + 5
L = 2(6) + 5
L = 12 + 5
L = 17
P = 2L + 2W
P = 2(17) + 2(6)
P = 34 + 12
P = 46
3. a = 47
b + c = 180 - 47 = 133
b = 3c - 3
(3c - 3) + c = 133
4c - 3 = 133
4c = 136
c = 34
b = 3c - 3
b = 3(34) - 3
b = 102 - 3
b = 99
a + b + c = 180
47 + 99 + 34 = 180