Let the regular price be X
x\98.60 x 100=29%
100x\98.60=29(multiply both sides by 98.60 to remove the denominator
100x=2859.4(divide both sides by 100
x=28.594
regular price=$28.594
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
The straight line is perpendicular to y = -3x + 4.
Therefore, the gradient of the straight line must be 3.
The equation of the straight line is y = 3x + 2.
Answer:
23, 25, 27
Step-by-step explanation:
It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.
__
<h3>setup</h3>
Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...
2(x -2) +3x = 67 +2(x +2)
<h3>solution</h3>
5x -4 = 2x +71 . . . . . simplify
3x = 75 . . . . . . . . add 4-2x
x = 25 . . . . . . . divide by 3
The three integers are 23, 25, 27.
