Answer:
7
Step-by-step explanation:
47 + 70 + 9p = 180
117 + 9p = 180
Subtract 117 from both sides
9p = 63
Divide both sides by 9
p = 7
The LCM of x+3 and x-4 is x² - x - 12
Working out gives;
Simplify further using equations calculator to get the answer as attached below:
Subtract the volume of the water from the volume of the tank to get the total volume of the marbles.
26 liters - 20.9 liters = 5.1 liters
He has 20.9 liters of water.
He has 85 marbles that add up to 5.1 liters of volume.
To find the volume of one marble, we divide 5.1 liters by 85.
(5.1 liters)/85 = 0.06 liters
The volume of each marble is 0.06 liters.
If he uses 200 marbles, the the marbles will occupy 200 * 0.06 liters = 12 liters.
The volume of the tank is 26 liters. 12 liters of volume is occupied by the marbles. The rest of the volume is water.
26 liters - 12 liters = 14 liters
Answer:
<u>If the width is 23 meters, the perimeter of the rectangle is 100 meters, or if the width of the rectangle is 0.23 meters, the perimeter is 54.46 meters.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Length of the rectangle = 27 meters
Width of the rectangle = 23 meters or 0.23 meters (it's not clear)
2. We will calculate the perimeter for any of the two possible values of the width of the rectangle, this way:
Perimeter of the rectangle = 2 * Length + 2 * Width
Replacing with the values we know:
Perimeter of the rectangle = 2 * 27 + 2 * 23
Perimeter of the rectangle = 54 + 46 = 100 meters
Perimeter of the rectangle = 2 * 27 + 2 * 0.23
Perimeter of the rectangle = 54 + 0.46 = 54.46 meters
