All categories

2 years ago

Tara would like to finish 2/5 of her book by next Friday.If the book has 203 pages,about how many pages does she need to read?

Mathematics

2 answers:

Sonja [21]2 years ago

7 0

2/5 of 100 is 40, multiply that by two and you get 80/200. 80 pages.

mariarad [96]2 years ago

4 0

To get the answer we can use proportion
2/5 ------------------ 203
3/5 ------------------ x
crossmultiply now
3/5*203=2/5*x
$\frac{609}{5} = \frac{2}{5} x \\ 609=2x \\ x=304.5$ - its the answer

You might be interested in

Check What is the slope of the line on the graph?

katen-ka-za [31]

Slope: the tilt. it equals rise over run. so 1/2

7 0

3 years ago

5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

What is the radius of a sphere with a volume of 1/6 pie

Yakvenalex [24]

Answer:

$\large\boxed{the\ radius\ R=\dfrac{1}{2}}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

We have

$V=\dfrac{1}{6}\pi$

Substitute:

$\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi$ divide both sides by π

$\dfrac{4}{3}R^3=\dfrac{1}{6}$ multiply both sides by 3

$3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}$

$4R^3=\dfrac{1}{2}$ divide both sides by 4

$R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}$

3 0

3 years ago

If 3* = 54, then which of the following must be true?

motikmotik

Answer: 3 < pi < 4

Step-by-step explanation:

6 0

3 years ago

Find x please 10.3 9.6 84 9

valentinak56 [21]

The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.

Because the 2 sides are the same the 2 bottom angles are also the same.

This means that 9x +3 = 84

Now we can solve for x:

9x +3 = 84

Subtract 3 from each side:

9x = 91

Divide both sides by 9:

x = 81 / 9

x = 9

4 0

3 years ago