2 1/4 case of crayons . Each case holds 24 boxes of crayons . Each box holds 8 crayons . How many crayons

Which equation finds the volume of a cube with a side length of 2n^6 units?

Taya2010 [7]

Given:

Side length of a cube is $2n^6$ units.

To find:

The equation for the volume of the cube.

Solution:

We know that, the volume of a cube is:

$V=a^3$

Where, a is the side length of the cube.

Putting $a=2n^6$ , we get

$V=(2n^6)^3$

$V=(2)^3(n^6)^3$ $[\because (ab)^m=a^mb^m]$

$V=8(n^{6\times 3})$ $[\because (a^m)^n=a^{mn}]$

$V=8n^{18}$

So, the volume of the cube is $(2n^6)^3=8n^{18}$ cubic units.

Therefore, the correct option is A.

6 0

3 years ago

Read 2 more answers

your mother gave you 13.32 with which to buy a present this covered 3/5 of the cost. how much did the present cost?

Marta_Voda [28]

13.32 = 3/5
1/5 = 13.32 / 3
1/5 = 4.44
Full cost = 4.44 * 5
= 22.20

3 0

4 years ago

Read 2 more answers

If A ( 3, 5) and B (1, 4) lie on the graph of the line mx+cy = 7, find m and c

Diano4ka-milaya [45]

Answer:

m = -1, c = 2

Step-by-step explanation:

if A ( 3, 5) and B (1, 4) lie on the graph of the line mx + cy = 7, then their coordinates satisfy the equation of the line:

A: $3m+5c=7$

B: $m+4c=7$

From the second equation:

$m=7-4c$

Substitute it into the first equation:

$3(7-4c)+5c=7\\ \\21-12c+5c=7\\ \\-12c+5c=7-21\\ \\-7c=-14\\ \\c=2\\ \\m=7-4\cdot 2=7-8=-1$

3 0

3 years ago

What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

= ( y2 - y1) / ( x2 - x1) 

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

3 0

3 years ago

The table below shows the relationship between the number of miles traveled X in the number of gallons used by which of the foll

Scrat [10]

Answer:

Number of miles = intercept + ___*gallons

Step-by-step explanation:

the table is not shown

3 0

3 years ago