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vfiekz [6]
3 years ago
10

Imagine a pond. In it sits one lilypad, which reproduces once a day. Each of its offspring also reproduces once a day, doubling

the number of lily pads in the pond every day. If the pond is full of lily pads on the 30th day, on what day is it half-full of lily pads
Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer: On the 29th day

Step-by-step explanation:

According to this problem, no lilypad dies and the lilypads always reproduce, so we can apply the following reasoning.

On the first day there is only 1 lilypad in the pond. On the second day, the lilypad from the first reproduces, so there are 2 lilypads. On day 3, the 2 lilypads from the second day reproduce, so there are 2×2=4 lilypads. Similarly, on day 4 there are 8 lilypads. Following this pattern, on day 30 there are 2×N lilypads, where N is the number of lilypads on day 29.

The pond is full on the 30th day, when there are 2×N lilypads, so it is half-full when it has N lilypads, that is, on the 29th day. Actually, there are 2^{30} lilypads on the 30th, and 2^{29} lilypads on the 29th. This can be deduced multiplying succesively by 2.  

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Find the difference 9 1/3 - 2/3
olga2289 [7]
Answer:  9 1/3 - 2/3 =  8  2/3 .
___________________________________

Note:  If the answer were "8 1/3" ; 

then:  "8 1/3 + 2/3 =? 9 1/3 ? "  

      → "8 1/3 + 2/3 = 8  3/3 = 8 + 1 = 9 = only "9" ;
____________________________________________
So the answer has to be MORE than "8 1/3"

Try "8 2/3"  → "8 2/3 + 2/3 =? 9 1/3?" ?? ; 
        
                  → "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
_________________________________________________
 So, the answer is:  "8  2/3" .
_________________________________________________
Another method:
_________________
Given the problem:  "<span>9 1/3 - 2/3 " ;
___________________________________
Note that:  "2/3 = 1/3 + 1/3"
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So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
 ________________________________________________
   Start with:  "</span>9 1/3 - 2/3" = 9.  Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
<span>______________________________________________________
</span>Another method:
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Given the problem:  
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  "9 1/3 - 2/3 = ?? " ;
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  Convert "9 1/3" into "28/3" ;  ("3*9 = 27"); ("27+1=28");
                                           (The "3" comes from the "3" in the: "1/3" portion.)
_________________________________________________________
  So, we rewrite as:  
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   28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8  2/3 .
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3 0
3 years ago
Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.
Andrew [12]

The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.

<h3>What is inequality?</h3>

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

y ≤ x - 3

Put x = 0

y ≤ 0 - 3

y ≤ -3

Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.

Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".

For more about inequality,

brainly.com/question/20383699

#SPJ1

4 0
1 year ago
Read 2 more answers
Help me ASAP I’ll mark you as a BL Question attached below
mojhsa [17]

Answer:

I think it might be A if not then its be

Step-by-step explanation:

sorry if its not right

8 0
3 years ago
Solve the system of equations.
guajiro [1.7K]

Answer:

<u>Option b. (x = 3, y = 20, z = -14)</u>

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]

∴A = \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1

Ax = \left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3

Ay = \left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\

Az = \left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14

∴ x = Ax/A = -3/-1 = 3

   y = Ay/A = -20/-1 = 20

   z = Az/A = 14/-1 = -14

<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>

4 0
3 years ago
Find the slope of the line shown on the graph to the right
damaskus [11]

Answer:

1

Step-by-step explanation:

We need two points to find the slope

( -1,0) and ( 2,3)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3-0)/(2 - -1)

  = (3-0) / ( 2+1)

  = 3/3

  = 1

The slope is 1

6 0
3 years ago
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