Answer:
Required number is 4.
Step-by-step explanation:
Let the required number be a.
Given,
 Sum of ten times the integer and seven times it’s square is 152.
= > Ten times of a + seven times of it's square = 152
= > 10( a ) + 7( a )^2 = 152
= > 10a + 7a^2 - 152 = 0 
= > 7a^2 + 10a - 152 = 0 
= > 7a^2 + ( 38 - 28 )a - 152 = 0 
= > 7a^2 + 38a - 28a - 152 = 0 
= > a( 7a + 38 ) - 4( 7a + 38 ) = 0 
= > ( a - 4 )( 7a + 38 ) = 0 
= > a = 4 or - 38 / 7 
Hence the required number is 4.
 
        
             
        
        
        
Answer:
x = - 2
Step-by-step explanation:
Given
- 1.2x + 2.5 = 0.8x + 6.5 ( subtract 0.8x from both sides )
- 2x + 2.5 = 6.5 ( subtract 2.5 from both sides )
- 2x = 4 ( divide both sides by - 2 )
x = - 2
 
        
             
        
        
        
76, 84, 93, 67, 82, 87, & 76
The mean is just the middle number of the data set,
Start by rewriting the set in order from smallest to biggest:
67, 76, 76, 82, 84, 87, 93
Determine which is the number in the middle,
67, 76, 76, *82*, 84, 87, 93
So, in this case, the median is 82.
        
                    
             
        
        
        
Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
<h3>What is a Hemisphere?</h3>
A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere. 
Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.
Therefore, the diameter of a full sphere = side length of cube.
Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
Learn more about hemisphere on:
brainly.com/question/9280450
 
        
             
        
        
        
Answer: 56/33
Step-by-step explanation: