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Snezhnost [94]
3 years ago
14

Ms. Canton has a book case. On three of the shelves there are the same amount of books. On another shelf there are four of her f

avorite books. Write an expression to represent all of the books in Ms. Canton's book case. Explain your answer
Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

Answer:

y = 3x + 4

Step-by-step explanation:

According to the given question, the expression to represent all the books in Ms. Canton's bookcase is shown below:-

y indicates the total amount of books

x indicates the equal cost of books on 3 bookshelves

while

+4 indicates 4 other books on the fourth bookshelf

So, the expression will be

y = 3x + 4

Therefore the correct answer is y = 3x + 4

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The area of a circle is 80.86cm2.<br> Find the length of the radius rounded to 2 DP.
weeeeeb [17]

Answer:

Solution given:

The area of a circle =80.86cm²

we have:

The area of a circle =πr²

substituting value of area of circle we get

80.86cm=3.14*r²

dividing both side by 3.14

80.86/3.14=3.14*r²/3.14

25.75=r²

doing square root on both side

\sqrt{25.75}=\sqrt{r²}

r=5.07cm

<u>The</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>radius</u><u> </u><u>is</u><u> </u><u>5</u><u>.</u><u>0</u><u>7</u><u>cm</u>

5 0
2 years ago
if the product of 4 and a number is decreased by 12, the result is twice the opposite of the number. Find the number. EXPLAIN PL
ELEN [110]
Answer:  The number is:  "2 " .
__________________________________________
Explanation:
__________________________________________
Write the expression; which is an equation, as follows:
__________________________________________
     " 4x <span>− 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .
___________________________________________
Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;
</span>___________________________________________
Rewrite as:  " 4x <span>− 12 = -2x " ;
</span>_____________________________________________
     →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                      4x − 12 + 12 + 2x = -2x + 12 + 2x ;

           to get:    6x  = 12  ;
____________________________________________________
 Now, divide each side of the equation by "6" ; 
     to isolate "x" on one side of the equation; & to solve for "x" ;
____________________________________________________
                         6x / 6  =  12 / 6 ;

                    to get:    x = 2 .
____________________________________________________
Answer:  The number is:  "2 " .
____________________________________________________
Let us check our answer, by plugging in "2" for "x" in our original equation:
_____________________________________________________
        →   " 4x − 12 = 2(-x) " ;

  Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

        →   " 4(2) − 12 = ?  2(-2) ?? 

        →    8 − 12 = ?  -4 ? ;
 
        →    -4 = ? -4 ??  Yes!
 __________________________________________________    
6 0
3 years ago
Evaluate (x + y)for x= -3 and y= 5.<br> A.-1/2<br> B.0<br> C.1<br> D.2
bazaltina [42]
It’s D
Proof:
(-3 + 5 = 2)
7 0
2 years ago
Read 2 more answers
5 (x minus 6) = 2 (x + 3)?
deff fn [24]

Answer:

12

Step-by-step explanation:

5(x-6)=2(x+3)

multiply

5*x and 5*6. 2*x and 2*3

5x-30=2x+6

minus 5x and 2x

3x-30=6

add 30 to 6

3x=36

divide both sides by 3 and the 3x cancels so 36÷3

x=12

6 0
3 years ago
Write 34 13/20 as a decimal please help!
Alex777 [14]
The fraction part of a mixed numeral is added to the whole number.

Use a calculator to divide 13/20.
13/20 = 0.65

34 13/20 = 34 + 13/20 = 34 + 0.65 = 34.65
6 0
3 years ago
Read 2 more answers
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