Given :
Fresh Farm: $4.50 for 5 lbs
Fruit Garden: $1/5 for 1/3 lb
Mother Nature: $4 for 5 lbs
Country Market: $0.85 per pound
To Find :
Which store offers the lowest unit rate for cantaloupes, in dollars per pound.
Solution :
Dollar per pound of each store :
Fresh Farm : 4.50/5 = $0.9 per pound
Fruit Garden: (1/5)/(1/3) = $0.6 per pound
Mother Nature: 4/5 = $0.8 per pound
Country Market: $0.85 per pound
From above we can see that Fruit Garden offers lowest unit rate.
Hence, this is the required solution.
Answer:
The Figure for Right triangle is below,
Therefore , 15 unit length represents BC.
Step-by-step explanation:
Given:
Consider a right triangle ABC, Such that

To Find:
BC = ?
Solution:
In Right Angle Triangle ABC, Cosine and Tangent identity


BUT,
....Given
On Comparing,
Adjacent side to angle A = AB = 15
Opposite side to angle A = BC = 8
Hypotenuse = AC =17
Also Pythagoras theorem is Satisfies,



The Figure for Right triangle is below,
Therefore , 15 unit length represents BC.
use cross products
(3r+6) *2 = 9*(2r-4)
6r+12 = 18r-36 distribute
12 = 12 r -36 subtract 6r from each side
48 = 12r add 36 to each side
4=r divide by 12
Equate real part and imaginary part:
LHS:
real part -- 12
imaginary part -- 5y
RHS:
real part = 4x
imaginary part = 25
Equating::
12 = 4x
x = 12/4
x = 3
Again:
5y = 25
y = 25/5
y = 5
So,
x = 3
y = 5