16. Alison uses a total of 94.5 cups of dog food each week to feed her three dogs. Each dog eats the same amount. How much does each dog eat in one day?
19. | x - 2 | = 2
Choose from -4, -3, -2, -1, 0, 1, 2, 3, 4. Find all of the numbers that are solutions of the equation.
each dog eats 94.5/3 cups/week
So, divide that by 7 for daily intake.
#19. You want all the numbers that differ from 2 by 2: 0,4
To find the answer to the first question, we need to divide the total cups of dog food (94.5 cups) by the number of dogs (3). This will give us the amount of dog food each dog eats in one week. To find the daily amount, we divide the weekly amount by 7 (since there are 7 days in a week).
So, to find how much each dog eats in one day, we can use the following equation:
Daily amount = (Total cups of dog food) / (Number of dogs) / (Number of days in a week)
Daily amount = 94.5 cups / 3 dogs / 7 days
Daily amount = 4.5 cups
Therefore, each dog eats 4.5 cups of dog food in one day.
To solve the second question, we have the equation |x - 2| = 2. The absolute value of a number is the distance from that number to zero on the number line. For this equation, we want to find the values of x that satisfy the equation.
Step 1: Take the positive case of the equation:
x - 2 = 2
To solve this, add 2 to both sides of the equation:
x = 2 + 2
x = 4
So, x = 4 is one solution.
Step 2: Take the negative case of the equation:
-(x - 2) = 2
To solve this, distribute the negative sign:
-x + 2 = 2
Add -2 to both sides of the equation:
-x = 2 - 2
-x = 0
Multiply both sides of the equation by -1 to isolate x:
x = 0
So, x = 0 is also a solution.
Therefore, the numbers that are solutions of the equation are x = 0 and x = 4.