Answer: System 1 has an infinite number of solutions and System II has no solutions.
Step-by-step explanation:
If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.
If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.
Answer:
15.75 ft²
Step-by-step explanation:
6" is 0.5 ft, so the dimensions in feet are 4.5 ft by 3.5 ft. The area is the product of these dimensions:
A = (4.5 ft)(3.5 ft) = 15.75 ft²
Answer:
10 hours
Step-by-step explanation:
Let's set up a proportion using the following setup.
hours/laps=hours/laps
We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.
2 hours/12 laps=x hours/60 laps
2/12=x/60
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.
60*2/12=x/60*60
60*2/12=x
10=x
It will take Lebron 10 hours to run 60 laps.
The first one is correct, just match the numbers with the corresponding sides of each triangle