Find the x value for point L such that JL and KL form a 3:1 ratio. A. 5.25
B. 2.33
C. 2.25
D. 4.33

C. 2.25

Step-by-step explanation:

The following information is missing: J is at (-3, 4). K is at (4,-2).

The x value for point L such that JL and KL form a 3:1 ratio is obtained as follows:

where ratio m:n givesfraction m/(m+n), run is the distance over x-axis between J and K, and xJ is the x-coordinate of J.

Replacing into the equation:

m/(m+n)*run + xJ = 3/4*7 + (-3) = 2.25

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.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls