For the Bart and Sam question, Bart had 123 - 180 or -57 points. Sam had 185 - 255 or -70 points, so Bart won the game by 13 points. The other question about the integers will work with any two numbers where one is 8 larger than the other. Take the smaller number and make it negative. Two such number pairs would be 9 and -1 or 29 and -20.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add the -2x to both sides
5x + 3 = -2
Subtract the 3 to both sides
5x = -5
Divide both sides by 5
x = -1
First, we need to find the least common denominator. The LCD for 7/8 and 1/3 would be 24. 7*3/8*3 = 21/24. 1*8/3*8 = 8/24. So, how many 8/24 will go into 21/24? 8 goes into 21 two times, and we are left with a remainder of 5. The answer is: Karen can make 2 and 1/24 servings of 1/3 cups of ice cream.