Question

Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient of that number and 5. 9x − x 5 Eight more than the quotient of twelve and a number n. n 12 + 8 The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number. x(6 − x) + 8 x Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4)

Answer 1

Answer: 1st , 2nd, and 3rd!

Explanation:

Answer 2

Explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

`=9 * x\\= 9x`

The quotient of that number and 5.

`= (x)/(5)`

The difference between both expression;

`9x - (x)/(5)`

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as
`9x - (x)/(5)`

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

`(n)/(12)`

Eight more than the resulting function is;

`(n)/(12)+8`

Hence eight more than the quotient of twelve and a number n is expressed as
`(n)/(12)+8`

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

`6-x`

product of a number x and the quantity 'six minus the number is;

`x(6-x)`

quotient of eight and the number is;

`(8)/(x)`

Taking the resulting sum of the last two expression

`x(6-x) + 8x`

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

`x(6-x) + 8x`

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

`= 2x +(2x+2)+(2x+2+2)\\= 2x+(2x+2)+(2x+4)`