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Bumek [7]
3 years ago
12

What is 287 divided by 68 estimated

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

When you divide 287 by 68, when it is not rounded, you will get 4.22058823529... (repeated decimal), but when you round it, you can either get the following: 4.22, 4.2, or 4 (choose which ever you want to pick out of these rounded forms.)

Hope this helped!

Nate

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When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ? The equatio
umka21 [38]

Answer:

One Solution

Step-by-step explanation:

When she adds 2 to both sides, the equation  is

4x=3x

If you subtract 3x from both sides

x=0

So the equation has exactly one solution

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3 years ago
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Line CD passes through (0.1) and is parallel to x +y = 3. Write the standard form of the equation of line CD.
Drupady [299]

Answer:

y = -x + 1

Step-by-step explanation:

We are asked to find the equation of a line parallel to

x + y = 3

Step 1: find the slope

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y = mx + c

3 - x = y

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Step 2: substitute m = -1 into the equation

y - y_1 = m( x - x_1)

Using the point ( 0 , 1)

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y_1 = 1

y - 1 = m( x - 0)

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Open the bracket

y - 1 = -1x + 0

y - 1 = -x

y = -x + 1

The equation of the line is

y = -x + 1

3 0
4 years ago
The Clark family must pay $2,820 in property tax on their home this year. The house payment $752 per month. What is their paymen
Harlamova29_29 [7]
It's actually easier than it seems. if the tax is paid in equal payments every month and the total throughout a year (12 months) is $2,820, you have to find out how much they pay every month
so divide the total by the number of months
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they pay $235 in taxes every month
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8 0
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8 0
3 years ago
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Sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12cm3/s . if the radius of the funnel is 8
Bezzdna [24]

Answer:

h ≅ 16.29 cm

\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

tan  \theta= \dfrac{r}{h}

tan  \theta= \dfrac{8}{16}

tan  \theta= \dfrac{1}{2}

∴

\dfrac{r}{h} = \dfrac{1}{2}

r = \dfrac{h}{2}

The volume (V) of the cone is expressed as:

V = \dfrac{1}{3}\pi r ^2 h

V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h

V = \dfrac{\pi h^3}{3\times 4}

\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}

\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}

Given that:

\dfrac{dv}{dt} = 12 \pi

Then:

-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}

- \int 48 \ dt = \int h^2 \ dh

\dfrac{h^3}{3}= -48 t + c

At  \ t = 0 \  ; h = 0

∴

\dfrac{0^3}{3} = -48(0) + c

c = 0

So;

\dfrac{h^3}{3}= -48 t + 0

\dfrac{h^3}{3}= -48 t

t = 30

\implies h = (-48(30))^{1/3}

h = 16.2865

h ≅ 16.29 cm

Thus;

from -12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}

\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}

\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }

\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }

\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}

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