X=number of books that cost 0.60
y=number of books that cost 0.75
x+y=16
0.6x+0.75y=10.95
solve
multiply second equation by 10 for nicity
6x+7.5y=109.5
multiply first equesiotn by -6 and add to second
-6x-6y=-96
<u>6x+7.5y=109.5 +</u>
0x+1.5y=13.5
1.5y=13.5
divide both sides by 1.5
y=9
sub back
x+y=16
x+9=16
minus 6
x=7
seven 0.60 books and nine 0.75 books
We define the variables first:
x = number of male cousins
y = number of females cousins
We write the system of equations:
x + y = 9
x = y-2
We solve the system:
Equation 1:
x + y = 9
(y-2) + y = 9
2y-2 = 9
y = 11/2 = 5.5
Equation 2:
x = 5.5-2
x = 3.5
Answer:
Although physically it does not make sense, mathematically the answer is:
number of male cousins = 3.5
number of females cousins = 5.5
24∠-6x+12
-12 -12
12∠-6x
---- ----
-6 -6
x∠-2
Answer: the perimeter is 40.9 ft
Step-by-step explanation:
The given figure is a trapezium. It is made up of a rectangle and a right angle triangle.
The perimeter of the trapezium is the distance around the figure. This means that the inner dimensions are not included.
Since the opposite sides of the rectangle are equal, it means that the base of the trapezium would be
10 + 4 = 14 ft
Therefore, the perimeter of the trapezium would be
8 + 10 + 8.9 + 14 = 40.9 ft
