Answer:
Number of student tickets were sold = 409
Step-by-step explanation:
Total number of tickets sold = 771
I.e Students ticket (S) + Non students ticket(N S) = 771
Total amount to be paid for tickets = $ 3037
Amount paid by students per tickets = $3
Amount paid by non-students per tickets = $5
So, according to question
S + NS = 771
3 S + 5 NS = 3037
Solve both equations
5 S + 5 NS = 771 × 5
3 S + 5 NS = 3037
so ,
(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037
Or, 2 S = 818
I.e S = 
= 409
Hence, The number of student tickets were sold = 409 Answer
Answer:
42.6cm
Step-by-step explanation:
The sum total of all the sides of the shape is the perimeter of the shape. Hence;
Perimeter = x+3 + 4 + x+9 + 2x+5
Perimeter = 4x + 21
Given
Area of the figure = 75cm^2
Area = (x+3)(2x+5) + (2x+1)(6)
75 = 2x²+5x+6x+15+12x+6
75 = 2x²+23x+21
2x²+23x+21-75 = 0
2x²+23x-54 = 0
x = -23±√23²-4(2)(-75)/4
x = -23±√529+600/4
x = -12±√1129/4
x = -12+33.6/4
x = 21.6/4
x = 5.4
Recall that;
Perimeter = 4x+21
Perimeter = 4(5.4) + 21
Perimeter = 21.6+21
Perimeter = 42.6cm
Hence the perimeter is 42.6cm
Answer:
x = 13 smaller integer
x + 2 = 15 the other integer
Step-by-step explanation:
x = the smaller integer
x + 2 = the next integer
7(x) = 61 + 2(x + 2)
7x = 61 + 2x +4
5x = 61 + 4
5x = 65
x = 13 smaller integer
x + 2 = 15 the other integer
Answer:
Step-by-step explanation:
area of rectangle=11×5=55 cm²
area of triangle=1/2×5×3=15/2=7.5 cm²
area of shaded region=55-7.5=47.5 cm²
Answer:
Step-by-step explanation:
Cost price of the article = Rs 400
Selling price of the article = Rs 420
As, S.P > C.P
Profit = S.P – C.P
= Rs( 420 – 400)
⠀⠀⠀= Rs 20
So,
Profit percent = (20/400 × 100)%
⠀⠀⠀⠀⠀⠀⠀⠀ = (20/4) %
⠀⠀⠀⠀⠀⠀⠀⠀ = 5 %
