Xian and his cousin Kai both collect stamps. Xian has 56 stamps and Kai has 72. The boys recently joined different stamp collecting clubs. Xian's club will send him 12 stamps per month. Kai's club will send him 8 stamps per month. After how many moths will Xian and Kai have the same number of stamps? How many will each have?

After how many moths will Xian and Kai have the same number of stamps?

4 months

How many will each have?

104 stamps

Step-by-step explanation:

Let the number of stamps that they collect be represented by x

Xian and his cousin Kai both collect stamps.

Xian has 56 stamps . Xian's club will send him 12 stamps per month.

= 56 + 12× x

= 56 + 12x

Kai has 72 stamps. Kai's club will send him 8 stamps per month.

= 72 + 8 × x

= 72 + 8x

After how many moths will Xian and Kai have the same number of stamps?

56 + 12x = 72 + 8x

Collect like terms

12x - 8x = 72 - 56

4x = 16

x = 16/4

x = 4

Therefore, after 4 months, Xian and Kai would have the same number of stamps.

How many will each have?

x = 4

56 + 12x = 72 + 8x

56 + 12 × 4 = 72 + 8 × 4

56 + 48 = 72 + 32

104 = 104

Each of them will have 104 stamps.

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.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.