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)

Step-by-step 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;

The quotient of that number and 5.

The difference between both expression;

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as

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

Quotient of twelve and a number n is expressed as:

Eight more than the resulting function is;

Hence eight more than the quotient of twelve and a number n is expressed as

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;

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

quotient of eight and the number is;

Taking the resulting sum of the last two expression

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

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;

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s