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Setler [38]
3 years ago
6

He ratio of the lengths of the corresponding sides of two rectangles is 8:3. the area of the larger rectangle is 320 ft2. what i

s the area of the smaller rectangle? 120 ft2 30 ft2 90 ft2 45 ft2
Mathematics
1 answer:
dusya [7]3 years ago
3 0
The answer is:  [A]:  " 120 ft² " .
_______________________________________________________
Explanation:
_______________________________________________________
Set up a ratio as a fraction:
_______________________________________________________

       8/3 = 320/x ;
_______________________________________________________
Cross-multiply:
_____________________________________________________

8x = 3 * 320  ;

8x = 960 ;

Divide each side of the equation by "8" ;
 to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________________
   8x / 8  =  960 / 8 ;

to get:  x = 120 .

The answer is:  [A]:  " 120 ft² " .
______________________________________________________
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7 0
2 years ago
Suppose y varies inversely with x. Write an equation if y=-3 when x=17
vodka [1.7K]

Answer:

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Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

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k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

6 0
3 years ago
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Svetlanka [38]

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6 0
2 years ago
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