The volume of the prism = 14 ft³
Solution:
Number of cubes in the prism = 1750
Edge length of each cube (a) =
ft
<u>To find the volume of each cube:</u>
Volume of each cube = a³

Volume of each cube 
<u>To find the volume of the prism:</u>
Volume of the prism = Volume of each cube × Number of cubes

= 14 ft³
The volume of the prism = 14 ft³
Step-by-step explanation:
"Solutions to the equation" just means that they are points on the line. To find out if these two points land on this line, plug each one in, like this:
1.5 = (1/4)(1) + (5/4)
1.5 = (1/4) + (5/4)
1.5 = (6/4)
1.5 = 1.5
Since the expression is true, this point is on the line.
Do the same process for the second point (remember a point is formatted (x,y)) and see if it is also a point on the line.
To find the x-intercept, simply plug in 0 for y and see what you get. It should look like (x,0).
Answer:
2 3/6
Step-by-step explanation:
You must turn 1 2/3 and 1 1/2 into improper fractions. You then multiply them and get an answer of 15/6, but since 6 can go into 15 twice (6x2=12+3=15), you get a whole of 2 and 3/6.
Answer:
Step-by-step explanation:
Left
As near as I can tell, the question is x^(1/2) * x^(1/2) = The bases are the same, so all you do is add the powers.
x^(1/2 + 1/2) = x^1 which is just x.
Right
The is another one where the work is hard to show. The numerator (m) of the fraction is the power and the denominator (n) is the root. That sentence is all the work there is.
So you would write ![\sqrt[m]{x^{n} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5E%7Bn%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
Step-by-step explanation:
First, the pizza is 18 inches in diameter, so

and, because the radium is half of the diameter,

<u>Note that the units are inches.</u>
Using the equation

where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is

where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.