Abasket holds at most 15 pounds of apples and oranges. there are no more than 6 pounds of apples in the basket. this graph shows the system that represents this scenario, where  x  is the weight of the apples and  y  is the weight of the oranges. which point represents a viable solution?

Answer

(2, 12)

Explanation

The inequalities in this situation are:

x + y ≈ 15        ( almost 15)

x ≤ 6               (x is less or equal to 6)

y ≥ 0               (y is greater than or equal to 0)

From the graph shown the viable points should be inside the blue region.

This points are: (4, 10), (2, 12), (6, 8) and (0, 14)

From the choices the correct answer is: C. (2, 12)

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.