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My name is Ann [436]
3 years ago
7

a patio door is 72inches side. if a drawing of the door is made with a scale of 2 inches. = 3ft, what is the width of the door o

n the drawing?
Mathematics
1 answer:
bixtya [17]3 years ago
8 0
In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.

72 inches = 6 feet

With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.

3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.

3x=12
X=4 inches

Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.
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The above figure is:
kow [346]

Answer:

non-convex polygon

Step-by-step explanation:

5 0
2 years ago
Claire is 2 year younger than her sister. The
natta225 [31]

Given:

Claire is 2 year younger than her sister.

The  sum of ages is no less than 44 years.

To find:

Inequality and find the youngest age Claire can  be.

Solution:

Let the age of Claire be x.

Her sister's age = x+2

Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.

x+(x+2)\geq 44

2x+2\geq 44

2x\geq 44-2

2x\geq 42

Divide both sides by 2.

x\geq 21

It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can  be 21 years old.

Therefore, the required inequality is  2x+2\geq 44 and the correct option is B.

4 0
3 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
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