Answer:
There are an infinite number of values satisfying the requirements; every couple of numbers satisfying the following conditions are valid:
base = 60-w meters
width = w meters
0 < w <= 22
Step-by-step explanation:
Since the playground has a rectangular shape, let us us call b the base of the rectangle and w its width. In order for the rectangle to satisfy the condition of P = 120, we need for the following equation to satisfy:
2b + 2w = 120
Solving for b, we get that b = (120 - 2w)/2 = 60 - w .
Given a particular value (w) for the width, the base has to be: (60-w).
Therefore, the possible lengths of the playground are (60-w, w), where 60-w corresponds to the base of the rectangle and w to its width. And w can take any real value from 0 to 22.
Answer:
100 miles
Step-by-step explanation:
Let
x ----> the number of miles driven
y ---> the total cost
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value
In this problem we have
<em>First Plan</em>
The slope is equal to 
The y-intercept is 
so
The linear equation is
-----> equation A
<em>Second Plan</em>
The slope is equal to 
The y-intercept is 
so
The linear equation is
-----> equation B
To find out for what amount of driving do the two plans cost the same, equate equation A and equation B
solve for x
Find the cost
for x=100 miles
substitute in equation A or equation B (the cost is the same)
Volume = base area x height
Base area = 6 (1/2 x 3 x 2.6) = 23.4 cm²
Volume = 23.4 x 7 = 164 cm³ (nearest wole number)
Answer: Volume = 164 cm³
