Answer:
284.6 square yards
284.6 yd^2
Step-by-step explanation:
Base: 7 × 13 = 91
Rectangle Sides: 6.1 × 13 = 79.3 (x2 = 158.6)
Triangle Sides: 5 × 7 = 35 (÷2 ×2 = 35)
Add: 91 + 158.6 + 35 = 284.6
Answer:
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
This is the equation of the line in slope intercept form
where
The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
In this case, the numbers would be 5*7 and 4*7 which is 35 and 28 respectively
