Question

Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3

Answer 1

The equation that accurately represents the statement "negative 3 less than 4.9 times a number, x, is the same as 12.8" is:

4.9 x - 3 = 12.8

This equation can be derived by replacing "negative 3 less than 4.9 times a number, x" with "4.9 x - 3" and "is the same as" with "=". The correct form of the equation is obtained by using the correct order of operations:

negative 3 less than 4.9 x

= 4.9 x - 3

= 12.8

The other equations listed do not accurately represent the statement. For example, the equation "Negative 3 minus 4.9 x = 12.8" would be incorrect because it does not use the correct order of operations. The correct order of operations would be to subtract 4.9 x from negative 3, which would give us 4.9 x - 3 = 12.8.

Answer 2

The 3 correct options are:
“4.9x minus (negative 3) = 12.8”,
“3 + 4.9x = 12.8”, and
“12.8 = 4.9x + 3”



Here is the information we are given:
The variable x is the unknown “number.”

“4.9 times a number, x,” is represented by 4.9x.

“Negative 3 less than…” means subtract the negative number: -(-3). Remember, negative multiplied by a negative makes a positive; (-1)(-3) = 3, so this can be written as +3 as well.

“The same as 12.8” means the equation should be set to equal 12.8 like this: =12.8.


Now we can put all of these together to find the equation!
4.9x - (-3) = 12.8
This can be rewritten as 3 + 4.9x = 12.8, which, when flipped (keeping all signs the same) is also 12.8 = 4.9x + 3.

The correct options are:
“4.9x minus (negative 3) = 12.8”,
“3 + 4.9x = 12.8”,
“12.8 = 4.9x + 3”