M and n are both integers. Select all the statements that are true if m and n are also equal to each other.

The question is incomplete. The complete question is :

M and n are both integers. Select all the statements that are true if m and n are also equal to each other.

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

D. m + n = 0

Answer :

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

Explanation :

It is given that m and n are integers and they both are equal to each other.

i.e. m = n

Therefore for option (A),

m - n = n - m

m - m = m - m   (since m and n are equal)

0 = 0

Therefore, the statement (A) is true.

For option (B),

0 = m - n

0 = m - m      (since m and n are equal)

0 = 0

Therefore, the statement (B) is true.

For option (C),

m + (-n) = m - n

m + (-m) = m - m    (since m and n are equal)

m - m = m - m

0 = 0

Therefore, the statement (C) is true.

Now for option (D),

m + n = 0

m + m ≠ 0    (since m and n are equal)

2m ≠ 0

Therefore, the statement (D) is false.

Hence, the options (A), (B) and (C) are true.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.