Given:
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480
let x be number of adults and y be number of kids
25x + 15y = 450
25x + 18y = 480
subtraction:
25x + 15y = 450
<u>-25x - 18y = -480</u>
0 - 3y = - 30
y = -30/-3
y = 10
There are 10 kids.
25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12
There are 12 adults.
All in all there are 12 adults and 10 kids.
to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450
25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480
Common figures with only rotational symmetry are the recycling sign and fan blades. If a figure coincides with the original twice in one full turn, it has two-fold rotational symmetry, or rotational symmetry order two. ... The square, for example, has four-fold rotational symmetry.
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
Answer:
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