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Mathematics

2 answers:

katovenus [111]3 years ago

7 0

So 2 miles per 1/2 hour
therfor 1 mile in 1/4 hour since 1/4 is 1//2 of 1/2

so
1 mile per 1/4 hour
2 mile per 2/4 hour
3 mile per 3/4 hour

basically 2 times 3/2=3 so
1/2 times 3/2=3/4=answer

SVEN [57.7K]3 years ago

5 0

$2 \ miles............ \frac{1}{2}h \\3 \ miles............x \\\\ x= \frac{ 3\ \not miles*\frac{1}{2}h}{2 \not miles} \\\\ x= \frac{ \frac{3}{2}h}{2} \\\\ x=\frac{3}{2}h*\frac{1}{2} \\\\ \boxed{x=\frac{3}{4}h} \\\\ x=\frac{3*\not60}{\not4} \\\\ x=3*15 \\\\ \boxed{\boxed{x=45 \ minutes}}$

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A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is $9000 ft^2$ then $9000=xy$

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

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$& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\$

On taking the first order derivative of A

$A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)$

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