Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
1/4
Step-by-step explanation:
Mrs. Lincoln has 15 girls and 10 boys in her homeroom. She randomly selects two students. The total number of students is 25.
The probability of choosing one girl is:
15 / 25 = 3 / 5
Now, 24 students are left.
The probability of choosing one boy is:
10 / 24 = 5 / 12
Therefore, the probability of choosing one girl and one boy is:
3 / 5 * 5 / 12
= 3 / 12
= 1/4
Answer:
could you maybe specify a little bit more
5x-8y=1...(1)
3x+6y=-21...(2)
(1)*3:
15x-24y=3...(3)
(2)*5:
15x+30y=-105...(2)
(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
Answer:
50% change in volume
Step-by-step explanation:
<h2>
This problem bothers on the mensuration of solid shapes.</h2>
In this problem we are to find the volume of the first cylinder and compare with the second cylinder.
Given data
Volume v = ?
Diameter d=
?
Radius r = ![10 in](https://tex.z-dn.net/?f=10%20in)
Height h= ![5 in](https://tex.z-dn.net/?f=5%20in)
we know that the volume of a cylinder is expressed as
![volume = \pi r^{2}h](https://tex.z-dn.net/?f=volume%20%3D%20%5Cpi%20r%5E%7B2%7Dh)
Substituting our given data we have
![volume = \pi*10^{2}*5\\ volume= \pi *100*5\\volume= 500\pi in^{3} \\](https://tex.z-dn.net/?f=volume%20%3D%20%5Cpi%2A10%5E%7B2%7D%2A5%5C%5C%20volume%3D%20%5Cpi%20%2A100%2A5%5C%5Cvolume%3D%20500%5Cpi%20in%5E%7B3%7D%20%5C%5C)
The first cylinder as a volume of ![500\pi](https://tex.z-dn.net/?f=500%5Cpi)
The change in volume is ![750\pi - 500\pi = 250\pi](https://tex.z-dn.net/?f=750%5Cpi%20-%20500%5Cpi%20%3D%20250%5Cpi)
percentage = ![\frac{250\pi }{500\pi } *100](https://tex.z-dn.net/?f=%5Cfrac%7B250%5Cpi%20%7D%7B500%5Cpi%20%7D%20%2A100)
![percentage=](https://tex.z-dn.net/?f=percentage%3D)
%