Answer:
52
Step-by-step explanation:
A cubical box without a top is 4 cm on each edge containing 64 identical 1 cm cubes.
We have to find the number of small cubes that actually touch the box.
Now, there are 4 layers of 16 cubes from bottom to top.
In the bottom-most layer, all the 16 small cubes will touch the bottom of the large cube.
Again, from the top three layers, only the outer small cubes will touch the sides of the large cube.
So, there are 12 small cubes in each top three layers that will touch the large cube.
Hence, in total there will be (16 + 12 ×3) = 52 small cubes that actually touch the large cube box. (Answer)
A right triangle :) to find the length of a missing side, you can use the pythagorean theorem (a^2 + b^2 = c^2)
Hello,
Please, see the attached files.
Thanks.
The <em>correct answer</em> is:
6 balloons.
Explanation:
Let x represent the number of balloons purchased.
We will call the function for Clowns R Fun c(x):
c(x) = 1.25x+6
We will call the function for Singing Balloons s(x):
s(x) = 1.95x+2
We want the amount for Clowns R Fun, c(x) to be less:
c(x) < s(x)
1.25x+6 < 1.95x+2
Subtract 1.25x from each side:
1.25x+6-1.25x < 1.95x+2-1.25x
6 < 0.7x+2
Subtract 2 from each side:
6-2 < 0.7x+2-2
4 < 0.7x
Divide each side by 0.7:
4/0.7 < 0.7x/0.7
5.7 < x
x > 5.7
She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.
Answer:
Step-by-step explanation:
When two variables say x and y are proportional let us assume y dependent variable and x independent variable
then we have y =kx
Here k is called the constant of proportionality.
Whenever x increases/decreases by 1 unit, the y value also increases/decreases by k units.
Whenever x=1, y =k
and always 
Thus we can fill up as
the constant of proportionality is always the point___(1.k)____, where k is the constant of proportionality. Additionally, you can find the constant of proportionality by finding the ratio of___y to x____, for any point on the___graph of the function.___.
