Step-by-step explanation:
the intersection of the interval: (-∞, 7) and [-5, +∞)
is [-5,  7)
and the union of the interval: (-∞, 7) and [-5, +∞)
is (-oo,  +oo) 
 
        
             
        
        
        
Answer:
12¾
Step-by-step explanation:
x - ¾ = 12
x = 12 + ¾
c = 12¾ or 12.75
 
        
                    
             
        
        
        
Answer:
Volume of a cylinder = 653.12 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
Height, h = 13 cm
Radius, r = 4 cm
π = 3.14
Volume of a cylinder = πr²h
= 3.14 × (4cm)² × 13 cm
= 3.14 × 16 cm² × 13 cm
= 653.12 cm³
Volume of a cylinder = 653.12 cm³
 
        
                    
             
        
        
        
- you will need 2 busses to only transport the boys.
- Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>
We know that there are (3 + 1/2) groups, such that each group fill one bus.
2/5 of the students are boys, then the number of groups that we can make only with boys is:
(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5
Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.
<h3>How far is Mark from his house?</h3>
The original distance is:
D = (2 + 3/4) miles.
But Mark only covers 2/3 of that distance, then we have:
d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles
d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles
Mark is at (1 + 5/6) miles of his house.
If you want to learn more about mixed numbers:
brainly.com/question/21610929
#SPJ1
 
        
             
        
        
        
Answer:
t:

meaning any number can substitute t and it would be the same answer.