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2 years ago

Xpressions equivalent to 7 3/4 + 3 5/6 - 1 3/4

Mathematics

1 answer:

user100 [1]2 years ago

3 0

Answer:

125/6

(Decimal: 20.833333)

Step-by-step explanation:

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Find the slope 3x + 2y =4

viktelen [127]

Answer:

-3/2

Step-by-step explanation:

We need to get the line into

y=mx+b

Where m is the slope, and b is the y intercept

To do this, we need to isolate y

Subtract 3x from both sides

3x+2y=4

2y= -3x+4

Divide both sides by 2

y= -3/2x+2

Now it is

y=mx+b

And we can determine the slope.

y=-3/2x+2

Since -3/2 is being multiplied by x, it is the slope

Slope: -3/2

Hope this helps! :)

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2 years ago

Choose the correct transformation of the graph f(x) = |x + 8| - 3.

Dmitry_Shevchenko [17]

<span>The graph of f(x) = x| is shifted to the left 8 units, down 3 units.</span>

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3 years ago

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The area of a circle is 100 Pi inches squared what is the circumference in inches

ololo11 [35]

100 x 3.14 = 3140 inches

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2 years ago

Is 0.9 greater,least than, or equal to 95%

Vanyuwa [196]

Answer:

Less

Step-by-step explanation:

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2 years ago

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A conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base

Aliun [14]

Answer:

$2\ cm$

Step-by-step explanation:

$We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h$

$As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel$

$Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm$

8 0

2 years ago