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umka21 [38]
3 years ago
8

Marie can read 22 pages in 30 minutes. How long would it take to read a 100 page book?

Mathematics
2 answers:
san4es73 [151]3 years ago
4 0
136 minutes

22/30 = 100/x

22*4.54 = 100
30*4.54 = 136

136 minutes (2.27 hours)

Hope this helps!
True [87]3 years ago
3 0
136 minutes or 2 hours, these are both rounded to the nearest whole number
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Answer:

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Step-by-step explanation:

Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

<u>Diagram</u><u> </u><u>:</u><u>-</u><u> </u>

\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture}

Step 1: <u>Using</u><u> the</u><u> </u><u>formula </u><u>of</u><u> </u><u>cone </u><u>:</u><u>-</u><u> </u>

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\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h

Step 2: <u>Substitute</u><u> </u><u>the </u><u>respective</u><u> </u><u>value </u><u>:</u><u>-</u><u> </u>

\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2

As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step 3:<u> </u><u>Simplify</u><u> the</u><u> </u><u>RHS </u><u>:</u><u>-</u><u> </u>

\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\

\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\

Step 4: <u>Move</u><u> </u><u>all </u><u>the </u><u>constant</u><u> </u><u>nos.</u><u> </u><u>to </u><u>one</u><u> side</u>

\rm\implies h  =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\

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