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harina [27]
3 years ago
14

Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
15 {x}^{2}  = 20x
Divide both sides by 15:
{x}^{2}  =  \frac{20}{15}   \\  \\  {x}^{2}  =  \frac{4}{3}
Take the square root:
x =  \sqrt{ \frac{4}{3} }  \\  \\ x =  \frac{2}{ \sqrt{3} }  \\  \\ x =  \frac{2 \sqrt{3} }{3}
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Nghiep gave his mother half of his weekly earnings and then spent half of what was left on a new shirt. He then had $34. What we
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Answer:

Hence the weekly earnings of Nghiep= $136

Step-by-step explanation:

Let the weekly income of Nghiep be $ x.

As it is given that:

  • Nghiep gave his mother half of his weekly earnings i.e. the amount he gave to his mother= $ (x/2).

So now we will be left with= $(x/2).

  • Next he then spent half of what was left on a new shirt.

   so the amount he spent on his shirt= $ (x/4)

Now he will be left with = $ (x/4).

Now it is given that the amount he had after spending on his shirt and giving to his mother= $ 34

i.e. \dfrac{x}{4}=34\\\\x=34\times 4\\\\x=136

Hence, the weekly earnings of Nghiep= $136.

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3 years ago
You include $\frac{1}{2}$
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Cassie received a 25%-off coupon and a $10.00-off coupon from a department store. She visits the department store during a tax-f
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3 years ago
Part A: Factor x2y2 + 6xy2 + 8y2. Show your work. (4 points) Part B: Factor x2 + 8x + 16. Show your work. (3 points) Part C: Fac
skad [1K]

Answer:

Part A : y²(x + 2)(x + 4)

Part B: (x + 4) (x + 4)

Part C: (x + 4) (x - 4)

Step-by-step explanation:

Part A: Factor x²y²+ 6xy²+ 8y²

x²y²+ 6xy²+ 8y²

y² is very common across the quadratic equation , hence

= y² (x² + 6x + 8)

= (y²) (x² + 6x + 8)

= (y²) (x² + 2x +4x + 8)

= (y²) (x² + 2x)+(4x + 8)

= (y²) (x(x + 2)+ 4(x + 2))

= y²(x+2)(x+4)

Part B: Factor x² + 8x + 16

x² + 8x + 16

= x² + 4x + 4x + 16

= (x² + 4x) + (4x + 16)

= x( x + 4) + 4(x + 4)

= (x + 4) (x + 4)

Part C: Factor x² − 16

= x² − 16

= x² + 0x − 16

= x² + 4x - 4x - 16

= (x² + 4x) - (4x - 16)

= x (x + 4) - 4(x + 4)

= (x + 4) (x - 4)

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3 years ago
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4 years ago
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