Answer:
The new price is 66% off the original not 75% off
Step-by-step explanation:
Let x be the original price
First take 60 percent off
x - x*60% = new price
x- .60x = .40x
The new price is .40x
Then take 15 % off
(.40x) - (.40x)*15%
.40x - .40x*.15
.40x - .06x
.34x
100 -.34 =.66
The new price is 66% off the original not 75% off
Answer:
The algebraic method is a collection of several methods used to solve a pair of linear equations with two variables.
Step-by-step explanation:
Answer:
Side length and perimeter of 1 face
Area of 1 face and surface area
Step-by-step explanation:
Suppose you are given cube with side length of x units.
Then
Side length = x units
Perimeter = 4x units
Area of 1 face
square units
Surface area
square units
Volume
cubic units
A linear relationship is any equation that, when graphed, gives you a straight line.
Consider all options:
A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function
is a straight line.
B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation
.
C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation
.
D. Area of 1 face and surface area is a linear relationship, because the graph of the function
is a straight line.
E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation
.
The caret (^) is the symbol conventionally used to indicate an exponent.
You have
area = 2.76·10^12
width = 4.6·10^5
You want to find the perimeter of the rectangle with these dimensions.
The perimeter of a rectangle is twice the sum of length and width.
perimeter = 2*(length + width)
The length can be figured from the area using the formula for area.
area = length*width
area/width = length . . . . . . . . . divide by width
Filling in the numbers, we have
perimeter = 2*((2.76·10^12)/(4.6·10^5) +(4.6·10^5))
perimeter = 2*(6.0·10^6 +0.46·10^6)
perimeter = 2*6.46·10^6 = 1.292·10^7
The perimeter of the rectangle is ...
1.292·10^7