Answer:
61.84%
Step-by-step explanation:
Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:
1.1x = 0.8(80 - x) + 28
We can simplify and solve:
1.1x = 64 - 0.8x + 28
1.9x = 92
x = 92/1.9
x = 920/19
The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).
The sum of these two can be written as a percent x of 80.
80x = 0.8(80 - 920/19) + 1.1(920/19)
80x = 64 - 0.8(920/19) + 1.1(920/9)
80x = 64 - 0.3(920/19)
80x = 64 - 276/19
80x = 940/19
x = 940/1520
x = 0.6184
This is 61.84%
Step-by-step explanation:
a) f(1) = -1 → x = -1
b) g(1) = Undefined
c) f(x) = 1 → x= Undefined
d) g(x) = 1 → x= 5
Answer:
6
Step-by-step explanation:
75−3.5y−4y=4y+6
Step 1: Simplify both sides of the equation.
75−3.5y−4y=4y+6
75+−3.5y+−4y=4y+6
(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)
−7.5y+75=4y+6
−7.5y+75=4y+6
Step 2: Subtract 4y from both sides.
−7.5y+75−4y=4y+6−4y
−11.5y+75=6
Step 3: Subtract 75 from both sides.
−11.5y+75−75=6−75
−11.5y=−69
Step 4: Divide both sides by -11.5.
−11.5y
−11.5
=
−69
−11.5
y=6
Hope this helps!
The point that is equidistant<span> to all sides of a </span>triangle is <span>called the incenter.
</span>
