Answer:
b) x+6
Step-by-step explanation:
The statement "unit cubes with side lengths of 1/2 foot are added to fill the prism with no space remaining" is useless information so you can disregard that. All you need to know to calculate the volume is the length, width, and height.
Volume = length x width x height
Volume = (5/2) x 3 x 11/2
Volume = 15/2 x 11/2
Volume = 165/4
Volume = 41.25 ft cubed
Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
![2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}](https://tex.z-dn.net/?f=2x-%5Cfrac%7B1%7D%7B4%7D%20-%5Cfrac%7B3%7D%7B5%7Dx%3D%5Cfrac%7B55%7D%7B4%7D)
Step 2: simplifying the coefficients of x:
![2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}](https://tex.z-dn.net/?f=2x%20-%5Cfrac%7B3%7D%7B5%7Dx-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D%5C%5C%5Cfrac%7B10x-3%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D%5C%5C%5Cfrac%7B7x%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B55%7D%7B4%7D)
Step 3: Adding 1/4 to both sides
![\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B5%7D%20-%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%20%3D%5Cfrac%7B55%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%5Cfrac%7B7x%7D%7B5%7D%3D%5Cfrac%7B55%2B1%7D%7B4%7D%5C%5C%20%5Cfrac%7B7x%7D%7B5%7D%3D%5Cfrac%7B56%7D%7B4%7D%5C%5C)
Step 4: Multiplying both sides by 5/7
![\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B5%7D%2A%5Cfrac%7B5%7D%7B7%7D%20%3D%5Cfrac%7B56%7D%7B4%7D%2A%5Cfrac%7B5%7D%7B7%7D%20%5C%5Cx%3D10)
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
Answer:
the answer would be C
Step-by-step explanation:
Answer:
50.24
Step-by-step explanation:
diameter is 8 inches
radius is 4
formula:
area = pi times radius squared
area = pi times 4 squared
area = pi times (4 times 4)
area = 3.14 times 16
area = 50.24