Please check

A number m decreases by 4
m-4
A number d divided by k,minus 6
D/k-6
A number b less 8
B-8
The sum of a number m and 10
M+10
18 divided by a number r
18/r
32 decreased by a number n
32-n
A number k increased by itself
K+k

they are all correct.

the sum of a number and the quotient of three and seven

To check the expressions, we will substitute some values and simplify the expressions.

1. A number m decreases by 4:
If we assume m = 10, the expression becomes: 10 - 4 = 6.

2. A number d divided by k, minus 6:
If we assume d = 20 and k = 5, the expression becomes: (20 / 5) - 6 = 4 - 6 = -2.

3. A number b less 8:
If we assume b = 15, the expression becomes: 15 - 8 = 7.

4. The sum of a number m and 10:
If we assume m = 12, the expression becomes: 12 + 10 = 22.

5. 18 divided by a number r:
If we assume r = 6, the expression becomes: 18 / 6 = 3.

6. 32 decreased by a number n:
If we assume n = 7, the expression becomes: 32 - 7 = 25.

7. A number k increased by itself:
If we assume k = 9, the expression becomes: 9 + 9 = 18.

By substituting values and simplifying the expressions, we can check if they are correct.