Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
Answer:
B
Step-by-step explanation: rational numbers include negative numbers as well. whole number only contains positive integers.
You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
A cone always contain a right angle.
To solve for the volume of a cone, we need to get the radius of the cone and its height.
Volume of a cone = π r² h/3
radius is the line from the center of the circle of the cone going to the edge of the circle.
height is the measurement of the cone from its pointy tip going downward.
Assuming the radius of the cone is 3 in. and its height is 6 inches.
Volume of a cone = π * r² * h/3
V = 3.14 * (3in)² * 6in/3
V = 3.14 * 9in² * 2in
V = 56.52 in³
