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2 years ago

If john run 2.5 miles everyday, how many miles will he run in a month of 30?

Mathematics

1 answer:

Lapatulllka [165]2 years ago

6 0

Answer:

2,250 miles per day.

Step-by-step explanation:

John runs 2.5 miles per day. In a period of 30 months, you can averagely take 30 days in each month.

So, 30 x 30 = 900 days in 30 months.

To find the number of miles ran in 900 days,

900 x 2.5 = 2,250 miles per day.

Hope this helps.

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If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

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2 years ago