Answer:7
Step-by-step explanation:
The logarithmic form of the equation y=loga x is equivalent to the exponential form x=ay. To rewrite one form in the other, keep the base the same, and switch sides with the other two values.
Answer:
The equation not represent a proportional relationship because the line don't passes through the origin
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have
This is the equation of the line in slope intercept form
where
the slope is m=5
the y-intercept is b=5
Remember that in a proportional relationship the value of b must be equal to zero (because the line passes through the origin)
therefore
The equation not represent a proportional relationship because the line don't passes through the origin
Answer:
75th term = 443
Step-by-step explanation:
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%
