Type the correct answer in each box. Use numerals instead of words.

1 answer:

3 0

To find the decimal expansion of a fraction, we put the denominator in proportion to 100. One fraction we can do this for is 2/5:

5 x 20 = 100, so now our denominator is 100. Because we multiplied 5 by 20, we also have to multiply 2 by 20. This means that 2/5 is equal to 40/100. 40/100 is representative as 0.4.

3/9 as a decimal can convert to 33/99, which would give us 0.3333 as a repeating decimal.

7/8 as a decimal expansion would give us 0.875 because 100 divided by 8 is equal to 12.5 (which is representative of 1/8), and 12.5 x 7 is equal to 87.5. Because we multiplied 1/8 x 7, we get 7/8 which is less than a whole. Therefore, the only number to the left of the decimal point should be 0. Hence, we divide 87.5 by 100 and we get 0.875. That is our decimal conversion.

4/6 as a decimal expansion would be 0.6666. Why? Well, first we would divide 100 by 6 to get approximately 16.6666. Then, because this represents 1/6, we can multiply it by 4 to get 4/6, which equals about 66.6664. Again, 4/6 is not a whole number and is less than a whole number. Because of this, the only digit to the left of the decimal point would be 0. When we divide 66.6664 by 100, we get 0.6666 as a repeating decimal.

If you need to better understand, let me know and I will gladly assist you.

You might be interested in

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z = xyi + 5zj + 7yk,

Helga [31]

The intersection can be parameterized by

$C:=\mathbf r(t)=\begin{cases}x(t)=6\cos t\\y(t)=6\sin t\\z(t)=5-6\cos t\end{cases}$

with $0\le t$ .

By Stoke's theorem, the integral of $\mathbf f(x,y,z)=xy\,\mathbf i+5z\,\mathbf j+7y\,\mathbf k$ along $C$ is equivalent to

$\displaystyle\int_C\mathbf f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r(t)=\iint_S\nabla\times\mathbf f\,\mathrm dS$

where $S$ is the region bounded by $C$ . The line integral reduces to

$\displaystyle\int_0^{2\pi}(36\sin t\cos t\,\mathbf i+(25-30\cos t)\,\mathbf j+42\sin t\,\mathbf k)\cdot(-6\sin t\,\mathbf i+6\cos t\,\mathbf j+6\sin t\,\mathbf k)\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}(54(\cos3t-\cos t)-30(3\cos2t-5\cos t+3)+(126-126\cos2t)\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}(36+96\cos t-216\cos2t+54\cos3t)\,\mathrm dt$
$=72\pi$

4 0

4 years ago

Which expression represents the calculation “subtract 4 from 12, then divided by 8”? A) 4 ÷ (12 − 8) B) (12 − 4) ÷ 8 C) (4 − 12)

Svetlanka [38]

The answer is B

As the question states that you need to "subtract 4 from 12" that means that you are taking 4 away from 12, so it would be 12-4.

Then it says to divide by 8. This means that for the subtraction to happen first, it must be withing parenthesis, so that would make the expression become

(12-4)÷8

6 0

3 years ago

Helpp i need the answer

Artemon [7]

Step-by-step explanation:

$h(0) =2 \times 0^{2} - 3 \times 0 + 10 = 10\\ h(4) = {2}^{4} = 16$