Answer:
x = - 7
Step-by-step explanation:
Given
3(x - 4) = 5x + 2 ← distribute left side
3x - 12 = 5x + 2 ( subtract 5x from both sides )
- 2x - 12 = 2 ( add 12 to both sides )
- 2x = 14 ( divide both sides by - 2 )
x = - 7
Large red ones= 16/78
33-16=17 small gumdrops
22 gumdrops are small
small red ones=17/22
Probability of large and small red ones:
prob. of large red ones: 16/78+22/22= 38/100=38%
prob. of small red ones: 17/22+78/78= 95/100=95%
58057, 58058, 58059 are the numbers!
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
Where, r is the radius of the hemisphere.
Volume of cylinder is:
Where, r is the radius of the cylinder and h is the height of the cylinder.
We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
Volume of cone is:
Where, r is the radius of the cone and h is the height of the cone.
Now, the volume of the combined figure is:
Therefore, the volume of the given figure is 2110.08 cubic units.
3. Three and four tenths. 3+0.4=3.4
4. Two and fifty-one hundredths. 2+0.51=2.51
5. 8/10
6. 0.05
7. 46/100
8. 0.6
9. 9/10
10. 0.35
1 and 2 are correct btw