First find the volume of the block(s):
A=s^3
s=side length
A=1^3
A=1 cubic inch
Next, find the volume of the shoe box:
12*6*5
360 cubic inches
Finally, divide the volume of the larger box by the volume of the block to get how many blocks will fit:
360/1 = 360 blocks
Answer:
8x -4
Step-by-step explanation:
Answer:
![\sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Step-by-step explanation:
At this point, we can transform the square root into a fourth root by squaring the argument, and bring into the other root:
![\sqrt x \cdot \sqrt[4] x =\sqrt [4] {x^2} \cdot \sqrt[4] x = \sqrt[4]{x^2\cdot x} = \sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%20x%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%5Csqrt%20%5B4%5D%20%7Bx%5E2%7D%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%20%5Csqrt%5B4%5D%7Bx%5E2%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Alternatively, if you're allowed to use rational exponents, we can convert everything:
![\sqrt x \cdot \sqrt[4] x = x^{\frac12} \cdot x^\frac14 = x^{\frac12 +\frac14}= x^{\frac24 +\frac14}= x^\frac34 = \sqrt[4] {x^3}](https://tex.z-dn.net/?f=%5Csqrt%20x%20%5Ccdot%20%5Csqrt%5B4%5D%20x%20%3D%20x%5E%7B%5Cfrac12%7D%20%5Ccdot%20x%5E%5Cfrac14%20%3D%20x%5E%7B%5Cfrac12%20%2B%5Cfrac14%7D%3D%20x%5E%7B%5Cfrac24%20%2B%5Cfrac14%7D%3D%20x%5E%5Cfrac34%20%3D%20%5Csqrt%5B4%5D%20%7Bx%5E3%7D)
Answer:
$210
Step-by-step explanation:
The first thing we can do is to add the $25 back on to the total cost.
25 + 115 = 140.
We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.
Now, to find the original price we can use this equation:

X represents the original price.
To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

Now you can solve:

We can check this answer by multiplying 210 by 2/3
(210)(2/3) = 140
Remember, Sam used a gift certificate for $25
140 - 25 = $115
Therefore, the original price of the skis is $210.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
N = 273
273 / 7 = 39
Dividend / divisor = quotient
Work Backwards:
n/7 = 39
n = 39 X 7
n = 273