A pan has an original price of $32 but is marked down by 15 percent. Which equation shows the new price of the pan?
A. ($32) (100% - 15%) =($32)(85%)=($27.20)
B. ($32) (15%) =$4.80
C. ($32) (15%) +$32=$4.80+$32=$36.80
D. ($32) (185%) =$59.20
The correct equation is A. ($32) (100% - 15%) =($32)(85%)=($27.20)
is (-2, 6) the intersecting point of these two linear equations? x+2y=10 3x+y=0
To determine if (-2, 6) is the intersecting point of these two linear equations, we substitute x = -2 and y = 6 into both equations and check if the equations are satisfied.
For the first equation, x + 2y = 10:
-2 + 2 * 6 = 10
-2 + 12 = 10
10 = 10
The first equation is satisfied.
For the second equation, 3x + y = 0:
3 * (-2) + 6 = 0
-6 + 6 = 0
0 = 0
The second equation is also satisfied.
Since both equations are satisfied by substituting x = -2 and y = 6, (-2, 6) is the intersecting point of these two linear equations.
The correct equation that shows the new price of the pan is:
A. ($32) (100% - 15%) =($32)(85%)=($27.20)
To find the new price of the pan after it is marked down by 15 percent, you need to subtract 15 percent from the original price. Let's look at each equation to see which one represents the correct calculation.
A. ($32) (100% - 15%) = ($32) (85%) = ($27.20)
This equation correctly subtracts 15 percent from the original price of $32. It gives us the new price as $27.20. This equation represents the correct calculation.
B. ($32) (15%) = $4.80
This equation calculates 15 percent of the original price ($32) and gives us $4.80. This represents the reduction amount, not the new price.
C. ($32) (15%) + $32 = $4.80 + $32 = $36.80
This equation adds the reduction amount ($4.80) to the original price ($32), resulting in $36.80. This represents the original price plus the reduction amount, not the new price.
D. ($32) (185%) = $59.20
This equation multiplies the original price ($32) by 185 percent, resulting in $59.20. This calculation does not represent a 15 percent reduction or the new price.
Therefore, the correct equation that shows the new price of the pan after a 15 percent discount is option A: ($32) (100% - 15%) = ($32) (85%) = ($27.20).