Tom is given the equation 10x + 15 = 20 to solve. He says the solution is 1/2. Which reason justifies his solution?
Tom says that to solve the equation you first divide by 10 and then subtract 15.
Tom says that to solve the equation you first add 15 and then divide by 10.
Tom say's that to solve the equation you first subtract 15 and then multiply by 10.
Tom says that to solve the equation you first subtract 15 and then divide by 10.
Tom says that to solve the equation you first subtract 15 and then divide by 10. This is the correct method to solve the equation 10x + 15 = 20.
Tom says that to solve the equation, you first subtract 15 and then divide by 10. This is the correct reasoning to find the solution to the equation 10x + 15 = 20.
To explain how Tom arrived at the solution, let's go step by step:
1. Start with the equation: 10x + 15 = 20.
2. The first step is to isolate the variable x. To do this, subtract 15 from both sides of the equation: 10x + 15 - 15 = 20 - 15. This simplifies to 10x = 5.
3. Next, we want to find the value of x. Since x is multiplied by 10, we need to divide both sides of the equation by 10: (10x)/10 = 5/10. This simplifies to x = 1/2.
So, Tom's reasoning of subtracting 15 first and then dividing by 10 is correct in this case.
Tom says that to solve the equation you first subtract 15 and then divide by 10.
Dr. Burrows is measuring the weight of a substance for a science experiment. He added a mystery substance (m) to his experiment. Dr. Burrows used the equation 13.93 + m = 18.0 to find out how much he added. How much of the mystery substance (m) did he add to his experiment?
5.17
5.07
4.07
4.17
To find out how much of the mystery substance (m) Dr. Burrows added to his experiment, we need to solve the equation 13.93 + m = 18.0.
To solve for m, we need to isolate the variable m by subtracting 13.93 from both sides of the equation:
(13.93 + m) - 13.93 = 18.0 - 13.93
Simplifying this, we get:
m = 18.0 - 13.93
m = 4.07
Therefore, Dr. Burrows added 4.07 units of the mystery substance (m) to his experiment. The correct option is 4.07.