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Luda [366]
3 years ago
8

Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible that the

square root of a rational number can be irrational. Who is correct and why?
Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Jenna is correct because the square root of a rational number can still be irrational.

Take for example the square root of 2. It is an irrational number than goes 1.41421...

If you multiply just the first however many digits of the result by itself, you will never end up with a perfect 2, because the square root is irrational.

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The average of four different positive integers is 9. What is the greatest value for one of the integers?
nekit [7.7K]

Answer:

  • 30

Step-by-step explanation:

<u>Sum of those 4 integers is:</u>

  • 4*9 = 36

<u>If the smallest ones are 1, 2 and 3, then the greatest possible integer is:</u>

  • 36 - (1 + 2 + 3) = 30
3 0
2 years ago
Log 16 1 = x solve for x
Helga [31]

Answer:

x = Log(16)

Simplify both sides of the expression by isolating the variable.

8 0
1 year ago
Enter the missing numbers in the boxes to complete the table of equivalent ratios of time to distance.
andre [41]
Answer:  Here is the complete table, with the filled in values:
______________________________________________________________
Time (h)    Distance (mi)
    3                2 
    9                6
   12                8
   18               12
___________________________________________________

Explanation:
___________________________________________________
Let us begin by obtaining the "?" value; that is, the "distance" (in "mi.") ;
         when the time (in "h") is "18" ; 
___________________________________________________

12/8 = 18/?  

Note: "12/8 = (12÷4) / (8÷4) = 3/2 ;

Rewrite:  3/2 = 18/? ;  cross-multiply:  3*? = 2 * 18 ; 
                                                                        3*? = 36 ;

                                                                      Divide each side by "3" ;
                                                                            The "?" = 36/3 = 12 ;

So, 12/8 = 18/12 ;

The value: "12" takes the place for the "?" in the table for "distance (in "mi.);
                              when the "time" (in "h") is "18".
__________________________________________________________
Now, let us obtain the "? " value for the "distance" (in "mi.");
                when the "time" (in "h") is:  "9" .

12/8 = 9/? ;  Solve for "?" ;

We know (see aforementioned) that "12/8 = 3/2" ; 

So, we can rewrite:  3/2 = 9/? ;  Solve for "?" ; 

Cross-multiply:  3* ? = 2* 9 ;    3* ? = 18 ;  
                                                           Divide each side by "3" ;
                                                    to  get:  "6" for the "?" value.

When the time (in "h") is "9", the distance (in "mi.") is "6" .
____________________________________________________
Now, to solve the final "?" value in the table given.

9/6 = ?/2 ;  Note:  We get the "6" from our "calculated value" (see above problem). 

9/6 = (9÷3) / (6÷3) = 3/2 ;  

So, we know that the "?" value is:  "3" .

Alternately:   9/6 = ?/2 ; 

Cross-multiply:  6*? = 2*9 ;   6 * ? = 18 ;  Divide each side by "6" ;
                                                               to find the value for the "?" ; 
                                                                    "?" = 18/6 = "3" .

When the "distance" (in "mi.") is:  "2" ;  the time (in "h") is:  "3" .
____________________________________________________
Here is the complete table—with all the values filled in:
____________________________________________________

<span>Time (h)    Distance (mi)
____________________________________________________
    3                2 
    9                6
   12                8
   18               12
____________________________________________________
</span>
6 0
3 years ago
A customer from cavallaros fruit stand picks a sample of 4 oranges at random from a crate containing 60 oranges of which 5 are r
Nuetrik [128]
I honestly don't know if this is right but it may make sense:
x is the event of picking up a rotten orange.
Probability that x is more than or equal to 1
= 1 - p(x=0)
so use binomialpdf on calculator
where trial is 4, p = 1/12(5/60), x = 0
1 - binoomialpdf(4, 1/12, 0)
and u get 0.294
3 0
3 years ago
How do I multiply a number and a half (3.5) with a whole number.
Nataly [62]

Answer:

Turn the decimal into a fraction and the whole number into a fraction

Step-by-step explanation:

Example: 7/2x56/1

4 0
2 years ago
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