Since the altitude started at 240 ft then that will be the constant, and, since it descends 30 ft/min, then 30 will be your slope.
y=30x+240<span />
Let a and b be the respective rates in bricks per minute for Alex and Bob separately.
Alex lays 4 bricks per minute more than Bob
a = b + 4
Working together, their rates scale by 3/4 and they achieve 15 bricks per minutes.
(3/4)(a + b) = 15
Two equations, two unknowns, we solve:
b = a - 4
(3/4)(a + a - 4) = 15
2a - 4 = (4/3) 15 = 20
2a = 24
a = 12
b = a - 4 = 8
Answer: Alex alone does 12 bricks per minute, Bob alone 8 bricks per minute
Check: a=b+4, good
(3/4)(12 +8)=(3/4)(20)=15, good
Answer:
The radius r of the circle is 44cm
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, a circular shape.
Given data
Circumference of circle C= 88πcm
Radius of circle r=?
The problem seeks to solve for the radius r.
To solve for the radius let us apply the formula for the circumference of a circle
C=2πr
Substituting our given data
88π=2πr
Making r subject of formula we have
r= 88π/2π
r= 44cm
