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kogti [31]
3 years ago
13

Solve: -4x < 20 x < 5 x > 5 x < -5 x > -5

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
8 0
The answer is x > -5

olganol [36]3 years ago
7 0

To solve the inequality, you need to isolate/get the variable "x" by itself in the inequality:

-4x < 20      Divide -4 on both sides to get "x" by itself

\frac{-4x}{-4}   when you multiply/divide a negative number to both sides of the inequality, you have to flip the inequality sign

x > -5

Your answer is the 4th option

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What’s the geometric mean of 3 square roots of 5 and 5 square roots of 5
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Answer:

5√3

Step-by-step explanation:

The <em>geometric mean</em> (GM) of two numbers x and y is the square root of their product.

Thus, the GM of x and y is √(xy).

The GM of 3√5 and 5√5

= √(3√5 × 5√5)

= √[3 × 5 × (√5)²]

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8 0
3 years ago
another rectangle has length and width in the ratio of 3:2. If the length is increased by eight and the width is increased by 50
Andreyy89

Answer:

Area of the new rectangle  = 148.8 cm square

Step-by-step explanation:

Let x be the dimensions of the rectangle then the

Perimeter of the Original rectangle= 2(L+B)

                                                   = 2 ( 3x+2x) = 2(5x)= 10xcm

If the length is increased by eight the new length would be 3x+ 8

and width would be 2x+x= 3x after 50 % increase

Perimeter of the new rectangle= 2(L+B)

                                                     = 2 ( 3x+8 +3x)

                                                       = 2 (6x+8)

                                                       = 12x + 16

Ratio of the new perimeter to the original perimeter is

             New perimeter :   Original perimeter

                8                      : 5

           12x+ 16                   : 10x cm

80x= 60x + 16

20x= 16

x= 16/20= 4/5

Putting the value of length and breadth in place of x

Area of the new rectangle = L*B =  3 * (4/5) +8 *3(4/5)=

                                                                 = 12+ 40/5 * 12/5

                                                                   = 62/5* 12/5

                                                                     = 744/5

                                                                   = 148.8 cm square

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