Instructions: Drag each tile to the correct location on the algebraic problem. Not all tiles will be used.
2 answers:
The steps involving properties of equality are shown in painful detail.
For Step 4, you add 7 to both sides of the equation (with the goal of cancelling the -7 on the left). So you have
6x -7 +7 = 12 +7 . . . . . . . showing 7 added to both sides
In the next step, this is simplified to the way you might have written it to start with:
6x = 19
There should be no confusion in any of this. All solutions of all equations make use of the properties of equality like this. Addition is used to cancel subtraction, division is used to cancel multiplication. (Root-taking cancels powers, and vice-versa; inverse trig functions cancel trig functions; and so on.)
For Step 4, you add 7 to both sides of the equation (with the goal of cancelling the -7 on the left). So you have
6x -7 +7 = 12 +7 . . . . . . . showing 7 added to both sides
In the next step, this is simplified to the way you might have written it to start with:
6x = 19
There should be no confusion in any of this. All solutions of all equations make use of the properties of equality like this. Addition is used to cancel subtraction, division is used to cancel multiplication. (Root-taking cancels powers, and vice-versa; inverse trig functions cancel trig functions; and so on.)
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Answer:
The pre-tax price of "smart fabric" warm-ups is $745 .
Step-by-step explanation:
Let us assume that the pre-tax price of the "smart fabric" warm-ups be x .
As given
arold paid 5% in sales tax on his new "smart fabric" warm-ups.
if harnold paid 37.25 in sales tax on the warm ups .
5% is written in the decimal form .
= 0.05
Equations becomes
0.05 × x = 37.25
0.05x = 37.25
x = $745
Therefore the pre-tax price of "smart fabric" warm-ups is $745 .