What is the new length of

Convert the decimal to a fraction in simplest form:

Shkiper50 [21]

Answer:

Decimal 0.333 to a fraction in simplest form is: $\frac{333}{1000}$

Step-by-step explanation:

Given the decimal

$0.333$

Multiply and divide by 10 for every number after the decimal point.

There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

$0.333=\frac{0.333\cdot \:\:1000}{1000}$

$=\frac{333}{1000}$ ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction $\frac{333}{1000}$

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

Greatest Common Divisor (GCD) :

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333: 3 · 3 · 37

Prime Factorization of 1000: 2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is: $\frac{333}{1000}$

4 0

2 years ago

Patricia is separating 16 soccer cards and 22 baseball cards into groups.Each group will have the same number of cards ,and each

Art [367]

There would be 2 groups. The greatest amount in each pile is 2 cards.

7 0

2 years ago

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Solve 2x2 − 8x = −7.

leva [86]

$\sf 2x^2 - 8x = - 7 \\ \\ Subtract \ -7 \ from \ both \ sides \ of \ the \ equation. \\ \\ 2x^2 - 8x - (-7 ) = - 7 - (-7) \\ \\ 2x^2 - 8x + 7 = 0 \\ \\ Use \ quadratic \ formula \ a = 2, b = -8, c = 7 \\ \\ x = \dfrac{- b \pm \sqrt{b^2- 4ac} }{2a} \\ \\ \\ x = \dfrac{-(-8) \pm \sqrt{(-8)^2 - 4 (2) (7) } }{2(2)} \\ \\ x = \dfrac{8 \pm \sqrt{8} }{4} \\ \\ x = 2 + \frac{1}{2}\sqrt{2} \ or \ x = 2 + \frac{-1}{2} \sqrt{2}$

Ur answer is the fourth one

7 0

3 years ago

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Create an equation that matches this table

Radda [10]

The equation that matches the given table is

y = 10x + 40

Solution:

General equation of a line : y = mx + c

Let us find the equation of the table.

Common differences of X:

0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1

Common differences of Y:

50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10

$$m=\frac{\Delta y}{\Delta x}$

$$m=\frac{10}{1}$

m = 10

Substitute m = 10 in general equation of a line

y = 10x + c

To find the constant term, substitute x = 0 and y = 40.

40 = 10(0) + c

40 = 0 + c

40 = c

c = 40

Therefore the equation of a line is y = 10x + 40.

Hence the equation that matches the given table is y = 10x + 40.

6 0

2 years ago

What is the Square root of -5

lilavasa [31]

The square root of -5

2.23606798

or

-2.23606798

8 0

2 years ago

Read 2 more answers