Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
Step-by-step explanation:
Let the two numbers be x and y.
From equations (1) & (2)
Thus, the two numbers are (4, - 2) or (-2, 4).
We can let x be the number of boxes sold for the first week. We can as well express the number of boxes for the second and third week through x using the statements provided.
Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:
first week: x
second week: x + 5
third week: 2(x + 5)
Given that the total number of boxes sold for the three weeks is 431. We have
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104
We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218
Answer:
first week: 104
second week: 109
third week: 218
Answer:
7t-14
Step-by-step explanation:
you have to distribute the 7 into the t and 2 and take the -with the 2
Answer:
A, B, C
Step-by-step explanation:
The total number of students is the sum of the students taken each course. Hence the total number of students is:
Total number = 6 + 10 + 18 + 4 + 12 = 50 students
A) The percentage of students offering chemistry = (number of students offering chemistry / total number of students) * 100%
percentage of students offering chemistry = (10 / 50) * 100% = 20%
Option A is correct
B) number of students taking health science = 12, while number of students taking physics = 6. Hence About twice as many students are taking Health Science than are taking Physics.
Option B is correct.
C) The percentage of students taking physic = (6 / 50) * 100% = 12%
Therefore for 150 students, the number of students taking Physics = 12% * 150 = 0.12 * 150 = 18
Option C is correct
D) The percentage of students taking earth science = (4 / 50) * 100% = 8%
Therefore for 25 students, the number of students taking earth science = 8% * 25 = 0.08 * 25 = 2
For every 150 students we could predict that 18 of the students are taking Physics.
Option D is correct
