Answer:
16 lb of fresh coffee.
Step-by-step explanation:
Let  x pound be the  amount of fresh coffee needed.
100 - 12 = 88%  is equivalent to 14 2/25  of roasted coffee.
By proportion  x = 14 2/25  /  88/100
= 352 / 25 * 100/88
= 35200 / 25 * 88
= 16 lb  (answer).
 
        
             
        
        
        
Answer:
24 blocks will be needed to make the tower that is 4 feet high
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Charlie knows that 3 blocks are needed to make a tower that is 
    0.5 foot high
∵ He needs to make a tower that is 4 feet high
→ By using the ratio method
→  Blocks  :  height (ft)
→   3          :   0.5
→   x          :   4
→ By using the cross multiplication
∵ x × 0.5 = 3 × 4
∴ 0.5x = 12
→ Divide both sides by 0.5 to find x
∵  =
 = 
∴ x = 24
∵ x represents the number of blocks
∴ 24 blocks will be needed to make the tower that is 4 feet high
 
        
             
        
        
        
48 : (17 - 15)³ - 5 = 48 : 2³ - 5 =
= 48 : 8 - 5 = 6 - 5 = <u>1</u>
 
        
             
        
        
        
<u>Answer</u>:- No.
<u>Explanation</u> :-
<u>Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.</u>
<u>Pythagoras theorem</u> :- sq. of hypotenuse (longest side) is equal to the sum of sq.s of other two sides.
<u>Here</u>,
hypotenuse = 12 (as it is the longest side)
and other two sides are 6 and 9.
----> 6^2 + 9^2 = 12^2
----> 36 + 81 = 144
----> 117 = 144
Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.