Translate the algebraic expression

−16

n

into words. Select all that apply.

The difference of –16 and a number

The quotient of –16 and a number

A number divided by –16

Negative 16 divided by a number

The quotient of a number and 16

The quotient of –16 and a number

Negative 16 divided by a number

Step-by-step explanation:

  We are required to translate the algebraic expression -16/n into words. Before we translate, it will be necessary to note that quotient is the outcome or result of division of a term by another term.

  For example, if the expression that we are faced with is 20/5, then the quotient of 20 and 5 is 4.

 If we are required to solve 12/2 then 6 which is the result is the quotient of 12 and 2.

 Now, if we are presented with the algebraic expression:

      -16/n

  Then, there are two ways we can successfully translate this expression and they are:

a. Negative sixteen divided by a number.

b. The quotient of negative sixteen and a number.

 Let us consider the options given to us:-

*** The difference of -16 and a number this is wrong because the expression doesn't entail subtracting a number from negative sixteen or vice versa

***The quotient of -16 and a number This is correct.

*** A number divided by -16 This is wrong. on the contrary, -16 is being divided by a number.

*** Negative 16 divided by a number This is correct

*** The quotient of a number and 16 This is wrong because one of the figures is negative 16 and not +16.

 The two options that successfully translated the algebraic expression are options B and D.

B/ The quotient of –16 and a number

D/ Negative 16 divided by a number

Step-by-step explanation:

i got it right

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

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