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liberstina [14]
3 years ago
13

Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs

99 pounds. If the elevator can carry a maximum of 300 pounds at a time, which inequality shows the maximum number of packages, n, that Jacob can carry with himself in the elevator if he is the only passenger
Mathematics
2 answers:
omeli [17]3 years ago
6 0
(300-99) /3 - the remainder =n
Luden [163]3 years ago
4 0
N ≤ 67 is your awnser i think hope it helps
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Answer:

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Step-by-step explanation:

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3 years ago
Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat
nirvana33 [79]

Answer:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}

And solving for \frac{dh}{dt} we got:

\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}

We need to convert the rate given into m^3/min and we got:

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

5 0
3 years ago
19 PTS!!!! PLZ HELP ASAP
Ira Lisetskai [31]

The number of muffin can yield is 18.

Step-by-step explanation:

Given:

The recipe needs  \frac{3}{4} cup chopped apple.

To find:

Umber of muffins when 1 \frac{1}{8} cup chopped apple is given.

Solution:

1\frac{1}{8} ÷  \frac{3}{4} = 1.5

1\frac{1}{8} cup apple is 1.5 times of \frac{3}{4} cup of apple

So, the number of muffins will be = 12 × 1.5

= 18

Thus 18 muffins can be yielded from a batch that contains 1 1/8 cups of chopped apple

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