Answer:
they would get 3 1/2
Step-by-step explanation:
because if there's two friends and seven cookies one friend we get three and the other one will get three and they could split the other cookie in half so that each Friend can have three cookies and a half if they split
Answer:
B. ![\frac{67}{10} x + 9](https://tex.z-dn.net/?f=%5Cfrac%7B67%7D%7B10%7D%20x%20%2B%209)
Step-by-step explanation:
Simplify the expression. Remember to go by the order of operations, or PEMDAS.
1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.
![3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)](https://tex.z-dn.net/?f=3%28%5Cfrac%7B7%7D%7B5%7D%20x%20%2B%204%29%20-2%20%28%5Cfrac%7B3%7D%7B2%7D%20-%5Cfrac%7B5%7D%7B4%7D%20x%29)
![\frac{21}{5}x + 12 - \frac{6}{2} + \frac{10}{4} x](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B5%7Dx%20%2B%2012%20%20-%20%5Cfrac%7B6%7D%7B2%7D%20%2B%20%5Cfrac%7B10%7D%7B4%7D%20x)
![\frac{21}{5} x + 12 - 3 + \frac{10}{4} x](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B5%7D%20x%20%2B%2012%20-%203%20%2B%20%5Cfrac%7B10%7D%7B4%7D%20x)
2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.
![\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B5%7D%20x%20%2B%209%20%2B%20%5Cfrac%7B10%7D%7B4%7Dx%20%5C%5C%5Cfrac%7B84%7D%7B20%7Dx%20%2B%20%5Cfrac%7B50%7D%7B20%7Dx%20%2B%209%20%5C%5C%5Cfrac%7B134%7D%7B20%7Dx%20%2B%209%20%5C%5C%5Cfrac%7B67%7D%7B10%7Dx%20%2B%209)
Thus, the answer is
.
Answer:
11 yards
Step-by-step explanation:
The volume of a cone formula is:
![V=\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Where V is the volume,
r is the radius (half of diameter)
h is the height
Given,
h = 15
V = 475.17
We find the radius (r) first by substituting given values:
![V=\frac{1}{3}\pi r^2 h\\475.17=\frac{1}{3}\pi r^2 (15)\\475.17=5\pi r^2\\r^2=30.25\\r=5.5](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C475.17%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20%2815%29%5C%5C475.17%3D5%5Cpi%20r%5E2%5C%5Cr%5E2%3D30.25%5C%5Cr%3D5.5)
The radius (r) is 5.5 yards
We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:
Diameter = 5.5 * 2 = 11 yards
Answer:
53
Step-by-step explanation:
86 = 2x - 20
<u>+20 +20</u>
<u>106 </u>= <u>2x</u>
2 2
53 = x
Answer:
11
Step-by-step explanation:
Luke has a square patio, which means each side must have the same amount of tiles.
For example, he could have a 4 by 4 patio, 5 by 5, etc.
121 happens to be the square of 11. In other words, 11*11=121!
So, Luke can fit 11 tiles along each side of his patio.