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Stella [2.4K]
3 years ago
8

What are the possible values of remainder r, when a positive integer 'a' is divided by 3​

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

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Jordan is studying whether or not race affects high school graduation in utah. in this example, high school graduation is the?
LenKa [72]

The high school graduation is the dependent variable.

In this question,

Jordan is studying whether or not race affects high school graduation in utah.

A dependent variable is a variable in an expression that depends on the value of another variable. It is a variable that represents a quantity that changes based on other quantities being manipulated in an experiment. It is the variable being tested, and therefore, it is called the dependent variable.

In the above statement, the high school graduation gets affected by race. So, the the high school graduation is the dependent variable.

Hence we can conclude that the high school graduation is the dependent variable.

Learn more about dependent variable here

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7 0
2 years ago
the shaded rectangle shown below is a scale drawing of a rectangle whose area is 288 scale feet. what is the scale factor of the
mrs_skeptik [129]
Area\ of\ rectangle:\ 288\ ft^2\\Area\ of\ shaded\ rectangle:\ 8\cdot4=32\ ft^2\\\\Ratio:\\\\32:288\ \ ->\ \ 1:9\\\\Small\ rectangle\ is\ drawn\ in\ 1:9
7 0
3 years ago
1. Qual é o número obtido ao se calcular
uysha [10]

Answer:

2021

201

21

+ 1

= 2244

step by step explanation

3 0
3 years ago
Does 8(3x + 4) = 24x + 4?
Andrei [34K]

no the answer is = 24 + 32

3 0
3 years ago
HELP What is the area of this figure?
Mademuasel [1]
The correct answer is:  [B]:  "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ; 

in which:  " A = area (in units 'squared') ;  in our case, " yd² " ; 

                 " b = base length" = 6 yd.  

                 " h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→  A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ; 
                                                                 
                                                                   =  " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

   A = s² ;

in which:  "A = area (in "units squared") ; in our case, " yd² " ;
                 
                 "s = side length (since a 'square' has all FOUR (4) equal side lengths);

 A = s²  = (4 yd)² = 4² * yd² =  "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
        →  " 24 yd²  +  16 yd² " ; 

to get:  " 40 yd² " ;  which is:  Answer choice:  [B]:  " 40 yd² " .
_________________________________________________
4 0
4 years ago
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