I used Desmos to graph it but here are the coordinates used to graph it in the pictures below.
The chessboard is about 26.4 centimeters long. to find the answer you need to know the length of one side of a square, which is about 3.3 centimeters, because the area is 11, so the square root of 11 is about 3.3 centimeters. there are 8 squares, so you have to multiply 8 times 3.3 which equals 26.4.
Simplifying
10 + 5x = 5x + 10
Reorder the terms:
10 + 5x = 10 + 5x
Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x
Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Answer: 0 solutions
The unit rate is going to be calories per serving....calories / serving
Food A :
150 / (3/4) =
150 * 4/3 =
600/3 =
200 calories per serving
Food B :
250 / (2/3) =
250 * 3/2 =
750/2 =
375 calories per serving
Therefore, Food A has fewer calories per serving <==
As there are 6 friends then each friend gets an equal amount so the popcorn is 48:6 or 8:1 the unit rate is 154:6 or 24:1 so the answers are 8:1 and 24
