What is the first step needed to solve 2 over 5 multiplied by x minus 6 equals negative 16?
a.) subtract 16 from both sides
b.)add 6 to both sides
c.) divide both sides by 5
d.) multiply both sides by 2

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  B.)  Add 6 to both sides

Step-by-step explanation:

Actually, the first step is to look at the given equation and at what is being asked. The next step is to formulate a strategy for finding what is asked.

Here, the equation is ...

As part of our assessment of this, we notice that ...

We are asked for the first step to solve this equation. The usual strategy for solving such an equation is to undo the steps done to the variable, in reverse order. In the above assessment, we notice the last step is subtracting 6 from the product. So, our first step in finding the value of x is to undo that subtraction:

  add 6 to both sides

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Additional comment

We also notice as part of our assessment that the equation contains the fraction 2/5, which has a denominator of 5. If we choose to eliminate fractions as a first step in our solution strategy, we would multiply both sides by 5. Notice that this is not one of the offered choices.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1