kali runs 12 laps around a track each day. Each lap around the track is 400 meters. How many days will it take Kali to run the total of 12 kilometers?

2.5 days

Step-by-step explanation:

First we should convert 12 kilometers to meters so that is 12000 meter. Now we know that she runs 12 laps each day and each lap is 400 meters so lets find out how much she runs in one day. 12 laps*400meters= 4800 meters

So an easy way to figure out how many days is to divide 4800 meters she runs each day from the total 12,000 meters she needs to run so 12,000/400=2.5.

It will take kali a total of 2.5 ( two and a half days) to run 12000 meters or 12 kilometers

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions