What are equivalent equations? How do you find them? Write a few sentences describing them.

What are they?

They are like same answer solutions. Some describe them as being equal to each other.

How to solve:

Step1 - Check for distributive property on each side of the equal sign. If present, complete the distributive property. There is no distributive property in our example.  

Step 2 - Check for combining like terms on each side of the equal sign. If present, combine all like terms on the same sign of the equal sign. There are no like terms present in our example.  

Step 3 - Collect all the variables on the same side of the equal sign. Do this by adding or subtracting (whichever is opposite of the current operation) the variable with its coefficient from both sides of the equation. By subtracting 7.50x (Subtracting is opposite of a positive 7.50 x), we can move the x's on the same side of the equation (what you do to one side of the equation you must do to the other side to keep the equation equal.  

Step 4 - Collect all constants on the opposite side of the equation as the variable. Accomplish this by adding or subtracting (whichever is the opposite of the current operation) the constant from both sides of the equation. The 12 is a positive 12 so we do the opposite operation which would be subtracting 12. What you do to one side of the equation you must do to the other.  

Step 5 - Isolate the variable by multiplying or dividing the coefficient (whichever is opposite of the current operation) of the variable on both sides of the equation. At this point, you should have the variable equals a number. The variable is being multiplied by -1.50, so the opposite operation is to divide by -1.50. This has to be done to both sides to keep the problem equal.

6.5

step-by-step explanation:

you said it was in the question

~courtney

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.