The initial dimenssions of the park lot are:
length: 140 ft
width: 90 ft
initial area: 140 * 90 = 12,600 ft^2
Area increased 29% = 12,600 * 1.29 = 16,254 ft^2
width of the strips: x
New length: 140 + x
New width: 90 + x
New area: (140+x)(90+x) = 16,254
Solution of the equation:
12600 + 230x + x^2 = 16254
=> x^2 + 230x - 3654 = 0
Use the quadratic formula.
x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =
x = 14.92
The other solution is negative so it is discarded.
Answer: 15 ft
Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
- Variable x: Cost of a t-shirt.
- Variable y: Cost of a notebook.
Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:
- x + y = 8 -> y = (8 - x).
Hence, replacing the second equation into the first:
3x + 2(8 - x) = 19
x = 3.
y = 8 - x = 8 - 3 = 5.
The cost of a t-shirt is of $3 and the cost of a notebook is of $5.
More can be learned about a system of equations at brainly.com/question/24342899
#SPJ1
Answer:
= to
Step-by-step explanation:
Answer:
Rs 120
Step-by-step explanation:
Let MP = m
Discount = 25% of MP = m/4
SP = MP - Discount
= m - m/4 = 3m/4
If profit is 20%, CP = 3m/4 x 100/120 = 5m/8
=> Profit = 3m/4 - 5m/8 = m/8
Given Profit - Discount = Rs 15
=> |m/8 - m/4| = 15
m/8 = 15
m = Rs 120
the answer will be 0.092 as a decimal
