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Anna11 [10]
3 years ago
5

Elise says, "If you subtract 17 from my number and multiply the difference by -3, the result is -61."

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

Elise's number is 112/3.

Step-by-step explanation:

You can form the equation: \left(x-17\right)\cdot -3=-61

Solution: \frac{\left(x-17\right)\left(-3\right)}{-3}=\frac{-61}{-3}

x-17=\frac{61}{3}

x-17+17=\frac{61}{3}+17

x=112/3

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Step-by-step explanation:

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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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