Question

write each decimal as a mixed fraction 95.8 and 15.78​

Answer 1

Answer:

Three tens and eight-tenths

(b) Fifteen point seven

Solution:

(a) Three tens and eight-tenths = 3 x 10 + 8 x = 30 + 0.8 = 30.8

(b) Fifteen point seven = 15.7

Answer 2

Answer:

9 5/8 and 15 7/8

Step-by-step explanation:

=>(2x+3)(5x−4)+(4x−2)(3x−2)

= > 2x(5x - 4) + 3(5x - 4) + (4x - 2)(3x - 2)=>2x(5x−4)+3(5x−4)+(4x−2)(3x−2)

= > 10 {x}^{2} - 8x + 15x - 12 + 4x(3x - 2) - 2(3x - 2)=>10x

2

−8x+15x−12+4x(3x−2)−2(3x−2)

= > 10 {x}^{2} + 7x - 12 + 12 {x}^{2} - 8x - 6x + 4=>10x

2

+7x−12+12x

2

−8x−6x+4

\bold{ = > 22 {x}^{2} - 7x - 8 = 0}=>22x

2

−7x−8=0

Now,it is in the form of a quadratic equation we will use quadratic formula to find out the equation:-

x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}x=

2a

−b±

b

2

−4ac

a=22,b=-7 and c=-8

x = \dfrac{ - ( - 7)\pm \sqrt{ {( - 7)}^{2} - 4(22)( - 8) } }{2 \times 22}x=

2×22

−(−7)±

(−7)

2

−4(22)(−8)

x = \dfrac{7\pm \sqrt{49 + 704} }{44} = \dfrac{7\pm \sqrt{753} }{44}x=

44

7±

49+704

=

44

7±

753