What is the answer to the problem?

30 = -5(m + 6) + m

30=−5(m+6)+m

Step 1: Simplify both sides of the equation.

30=−5(m+6)+m

30=(−5)(m)+(−5)(6)+m(Distribute)

30=−5m+−30+m

30=(−5m+m)+(−30)(Combine Like Terms)

30=−4m+−30

30=−4m−30

Step 2: Flip the equation.

−4m−30=30

Step 3: Add 30 to both sides.

−4m−30+30=30+30

−4m=60

Step 4: Divide both sides by -4.

−4m

−4

=

60

−4

m=−15

m=−15

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.

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5