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nekit [7.7K]
3 years ago
12

It takes 6 cubic inches of colored sand to fill a plastic cone. How many cubic inches will it take to fill a plastic cylinder wi

th the same base and height as the cone? 
A.18
B.24
C.2
D.12
Mathematics
1 answer:
frosja888 [35]3 years ago
5 0
The volume of a cone is equal to
Volume = pi * r^2 * h / 3

The volume of a cylinder is equal to
Volume = pi * r^2 * h

The cone is filled with 6 cubic inches colored sand.
As you observed, the volume of the cone is 1 / 3 of the volume of the cylinder.

Cone = Cylinder / 3
6 = Cylinder / 3
Cylinder = 18

So the answer is A. 18.
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What is -12(-3) + 7?
lys-0071 [83]

Hi!

This question is about math.

-12(-3) + 7

36+7

=43

Explanation: You had to used order of operations on this math problems. Then you can also used P-Parenthesis, E-Exponents, M-Multiply, D-Divide, A-Add, and S-Subtract. ("Please Excuse My Dear Aunt Sally".)  

For Example: (65+15*8/2)

15*\frac{8}{2}=60

65+60=125

Hope this helps! Thank you for posting your question at here on Brainly. Have a great day.

-Charlie

8 0
4 years ago
Read 2 more answers
Find an expression for the nth term ( tn ) in each of the following sequences:
Alexandra [31]

Answer:

The expression for the nth term is Tn = 8n -7

Step-by-step explanation:

Here, we are to find an expression for the nth term of the sequence.

Mathematically, the nth term of an arithmetic sequence can be expressed as;

Tn = a + (n-1)d

for T2, the equation is

a + d = 9

for T4, the equation is

a + 3d = 25

we can substitute the equation of T2 into T4 but we first need to rewrite T4

a + d + 2d = 25

9 + 2d = 25

2d = 25 -9

2d = 16

d = 16/2

d = 8

now since a + d = 9

a = 9-d

a = 9-8

a = 1

So the expression for the nth term would be;

1 + (n-1)8

1 + 8n - 8

= 8n -8+1

= 8n -7

6 0
3 years ago
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

8 years

Step-by-step explanation:

Let age of father be f

age of John be j

age of Alice be a

John's father is 5 times as old as John. We can write:

f = 5j

John is twice as old as Alice. We can write:

j = 2a

or

a = j/2

SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:

f+2 + j+2 + a+2 = 58

This becomes:

f + j + a + 6 = 58

f + j + a = 52

Now, we replace third equation with the first two (in bold) and get:

f + j + a = 52\\5j + j + \frac{1}{2}j=52\\6.5j=52\\j=8

So John is 8 years old

7 0
3 years ago
Find the domain <br><br><br><br> Please help
svetlana [45]
Number 3. -6 < x < 8
6 0
3 years ago
Read 2 more answers
Look at the pic Yea It's hard sorry but I didn't listen to the teacher
tekilochka [14]
This is a triangle 
To find the area, count the side (which is 5)
You can see that the peak opposite of the side is 7 units in length, that is the height
The formula for the area of the triangle is 
A = (b * h)/2
b = 5
h = 7
A = (5 * 7)/2
A = 35/2
A = 17.5

Hope this helps
7 0
3 years ago
Read 2 more answers
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