Leo spent the same amount of time working on each of 5 different weight machines and then spent Two-thirds of an hour on the treadmill. If he spent a total of 1 and three-fourths hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines? 5 x + two-thirds = 1 and three-fourths; Leo spent 13 minutes at each machine. 5 x + two-thirds = 1 and three-fourths; Leo spent 29 minutes at each machine. Two-thirds x + 1 and three-fourths = 5; Leo spent 5 minutes at each machine. Two-thirds x + 1 and three-fourths = 5; Leo spent 10 minutes at each machine.

5x + 2/3 = 1 3/4 / Leo spent 13 minutes at each machine.

Step-by-step explanation:

There are 5 weight machines. Leo spent a equal amount of time at each weight machine, but we don't know how much time. (5x) We then learn that he spent 2/3 of his time on the treadmill. (5x + 2/3) Leo spent 1 3/4 hours at the gym. (5x + 2/3 = 1 3/4) Now that we have our equation, all that's left to do is solve for x. Change your fractions into numbers. (5x + 40 = 105) After solving for x, you will determine that Leo spent 13 minutes at each machine.

5x + 2/3 = 1 3/4 / Leo spent 13 minutes at each machine.

Step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: 20

step-by-step explanation: