Answer: Commutative property of multiplication
Step-by-step explanation: The problem 6 · 1 = 1 · 6 demonstrates the commutative property of multiplication.
In other words, the commutative property of multiplication says that changing the order of the factors does not change the product.
So for example here, 6 · 1 is equal to 6 and 1 · 6 also equals 6.
Since 6 = 6, we can easily see that 6 · 1 must be equal to 1 · 6.
In more general terms, the commutative property of multiplication can be written as a · b = b · a where <em>a</em> and <em>b</em> are variables that can represent any numbers.
Answer:
$8.2225
Step-by-step explanation:
100% - 45% = 55%
then divide 55 by 100 to get .55
lastly multiply .55 to 14.95 to get 8.2225
Answer:
125 situps
Step-by-step explanation:
We can use a ratio to solve
25 situp x situps
--------------- = --------------
12 pushup 60 pushups
Using cross products
25 * 60 = 12x
Divide each side by 12
25*60/12 = 12x/12
125 = x
Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y = 
x + 5 ← in slope-intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
= - 
, hence
= - 1 / = - 
y = - x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 = 
+ c ⇒ c = - 
y = - x - ← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form
