Answer:
165 Students Have No Made Plans For Lunch.
Step-by-step explanation:
According To the Question,
- Given,On a school trip to a theme park, 4 busses each carry 70 students Then Total Number Of Students on a trip is 70×4=280 Students.
- And,35% of the students are bringing their own lunch. Thus,35% Of 280 Students is 98 Students. Then Remaining 182 Students not bring their own lunch.
Now, 17 of the students are buying lunch when they get to the theme park. Thus students Who have not made plans for lunch is 182-17⇒165Students
 
        
             
        
        
        
Answer:
The value of f(0) is Option (A) : - 2
 
        
             
        
        
        
Answer:
29.24
Step-by-step explanation:
p= 27
b= 48
now finding the value of x,
tanx°= p/b
=27/48
=0.56
now,
x°= tan-¹ 0.56
= 29.24
 
        
             
        
        
        
Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom, 
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours 
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴



By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours
 
        
             
        
        
        
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
                                  x² + x² + 88x + 1936= 8080 Combining the right terms 
                                  2x² + 8x - 6144 = 0 dividing by 2
                                     x² + 44x - 3072 =0 solving for x
                          x = 37.6 or -81.6
Therefore, the positive number is 37.6