Crystal bought b boxes of cookies to bring to a party. Each box contains 18 cookies. She decides to keep two boxes for herself.
She brings 90 cookies to the party. Which equation can be used to find the number of b boxes Crystal bought?
A) 2b − 18 = 90
B) 18b − 2 = 90
C) 18b − 36 = 90
D) 36 − 18b = 90
A) 2b − 18 = 90
B) 18b − 2 = 90
C) 18b − 36 = 90
D) 36 − 18b = 90
2 answers:
You might be interested in
Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.
Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.
So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.
The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.
Then, conduct an experiment to check the location of the center of mass.
Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.
Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.
For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.
If this is so, then the tetrahedron is a fair tetrahedron otherwise not.
The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.
<h3>What is the volume of a cylinder?</h3>The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,
As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.
Substitute the values,
Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,
Further, the volume of the water that is inside the cylinder can be written as,
The volume of water = Volume of the cylinder - Volume of the sphere
= 1696.46 - 113.097
= 1583.36266 in³
Hence, the volume of the water in the cylinder is 1583.36266 in³.
Learn more about Volume of the Cylinder: