An integer x is divided by an integer y, and the quotient is 24. the sum of these two integers is 75.
which is the value of x?

x=72

Step-by-step explanation:

"An integer x is divided by an integer y, and the quotient is 24" mathematically sounds as

"The sum of these two integers is 75" has the equation

From the second equation

Substitute it into the first:

Now

x =72

Step-by-step explanation:

  equation 1

x+y=75   equation 2

using equation 2 we have:

x=75-y  equation 3

using equation 3 in equation 1 we have:

y=3

so we have:

x=75-y

x=75-3

x=72

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."