get a common denominator which is 24
3 7/8 = 3 21/24
6 /4 = 6 6 /24
3 21/24 - 6 6 /24
big number minus small number take sign of larger
6 6/24
- 3 21/24
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5 30/24
3 21/24
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2 9/24
2 3/8
the sign of the larger is negative
-2 3/8
x = 1 because -7(3x + 4) must be -49 so 3x + 4 must me 7 so x = 1
The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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<span>Actually the above equation can be solved by following the below steps to fins the value of x
Step1: 3(x-k)/w=4
Step 2: (3x-3k)/w=4
Step 3: (3x-3k)=4w
Step 4: 3x=4w+3k
So hence therefore by following the above steps we can conclude that the value of x is
Step 5: x=(4w+3k)/3</span>
