Answer: the cost of a milkshake is $2.59
Step-by-step explanation:
Let x represent the cost of a banana split.
Let y represent the cost of a milkshake.
At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as 
x + 5y = 16.24- - - - - - - - - - - - -1
If three banana splits and two milkshakes cost $15.05. This is expressed as 
3x + 2y = 15.05- - - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 1, it becomes
3x + 15y = 48.72
3x + 2y = 15.05
Subtracting, it becomes
13y = 33.67
y = 33.67/13
y = 2.59
Substituting y = 2.59 into equation 1, it becomes
x + 5 × 2.59 = 16.24
x + 12.95 = 16.24
x = 16.24 - 12.95
x = 3.29
 
        
             
        
        
        
Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area: 
Volume: 
Therefore, the height of a cylinder given its volume would be  , thus:
, thus:

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:






If ![0If [tex]r>5.848](https://tex.z-dn.net/?f=0If%20%5Btex%5Dr%3E5.848) , then the surface area of the cylinder increases
, then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is  , making the minimum height
, making the minimum height  .
.
In conclusion, the 2nd option is correct.
 
        
             
        
        
        
Answer:
25
Step-by-step explanation:
To get the area you multiply length and width. The length and width are both 5. 5 times 5 equals 25.
Hope this helped!
 
        
             
        
        
        
The principal loan amount will be 250000. P is denoted by the principal loan amount 
<h3> What is the amount?</h3>
The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the principal loan amount
r is the rate of interest = 2.49% 
n is the time period= of 30 years
The formula for the principal loan amount  is found as;


Hence the principal loan amount will be 250000. 
To learn more about the amount, refer to the link;
brainly.com/question/12184047
#SPJ1
 
        
             
        
        
        
Answer:
Distance Maria had to walk in the afternoon is 
Step-by-step explanation:
Lets take that Maria walked  miles in the afternoon.
 miles in the afternoon.
Distance walked in the morning + distance walked in the afternoon = 
⇒






