In the 2000 summer Olympics, the women’s 400-meter freestyle winner took 4 minutes 4 seconds to swim her race. The 200-meter freestyle winner took 1 minute 57 seconds. If the 400-meter winner had swum her whole race at the same average speed as the 200-meter winner, by how many seconds would she have reduced her time?

Step-by-step explanation:

so, the 200m winner's average speed was

200m/(60+57)sec = 200/117 m/s

so, 400m with the same speed would need x seconds :

200x/117 = 400

200x = 400×117

x = 2×117 = 234 seconds = 3 minutes and 54 seconds

(after seeing that a minute has 60 seconds, and that then 234/60 = 3 and 54 remainder).

so, she would have reduced her time by 10 seconds (from 4 minutes 4 seconds down to 3 minutes 54 seconds = 4 + 6 = 10).

55? i think maybe

step-by-step explanation:

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.