All categories

3 years ago

What is the equivalent decimal? Drag the answer into the box to match the fraction. 6/11

Mathematics

2 answers:

Naya [18.7K]3 years ago

5 0

Answer:

The answer is D

Step-by-step explanation:

pogonyaev3 years ago

5 0

Answer: D is the correct answer.

Explanation: 6/11 = 0.54_ as a decimal ( the decimal is repeating)

You might be interested in

A storage container for oil is in the shape of a cylinder with a diameter of 10 feet and a height of 17 feet which measurement i

strojnjashka [21]

The answer would be 1335.18

8 0

3 years ago

Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)

Murrr4er [49]

$\sqrt{x - 5} + 7 = 11$

$(\sqrt{x-5}) ^{2} = (4)^{2}$

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16 or x - 5 = -16

+5 +5 +5 +5

x = 21 or x = -11

Answer: x = {21, -11}

5 0

3 years ago

the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a

Furkat [3]

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

$\frac{dm}{dt} = -\frac{m}{\tau}$ (Eq. 1)

Where:

$\frac{dm}{dt}$ - First derivative of mass in time, measured in miligrams per year.

$\tau$ - Time constant, measured in years.

$m$ - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

$\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt$

$\ln m = -\frac{1}{\tau} + C$

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (Eq. 2)

Where:

$m_{o}$ - Initial mass of isotope, measured in miligrams.

$t$ - Time, measured in years.

And time is cleared within the equation:

$t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right]$

Then, time constant can be found as a function of half-life:

$\tau = \frac{t_{1/2}}{\ln 2}$ (Eq. 3)

If we know that $t_{1/2} = 5730\,yr$ and $\frac{m(t)}{m_{o}} = 0.35$ , then:

$\tau = \frac{5730\,yr}{\ln 2}$

$\tau \approx 8266.643\,yr$

$t = -(8266.643\,yr)\cdot \ln 0.35$

$t \approx 8678.505\,yr$

The wood was cut approximately 8679 years ago.

5 0

3 years ago

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If

Eduardwww [97]

Answer:

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

4 0

3 years ago

I need the answers to 9-12! Tysm!

loris [4]

Answer:

9) 5y

10) 10 x² - 4

11) 2a ∧5 + 5b

12) 8m +4n + 2

Step-by-step explanation:

9) 8 y - 3 y = 5y

10) 6x² + 4 (x²-1) = 6x²+ 4x²-4 = 10x²-4

11) 4a∧5 - 2a∧5 +4b + b = 2a∧5 +5b

12) 8m +14-12+4n = 8m+4n+2

3 0

3 years ago