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3 years ago

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in

Mathematics

2 answers:

Art [367]3 years ago

7 0

6.75 miles per half hour !!!!!!!

Goryan [66]3 years ago

4 0

Answer:

13.5 miles or 13 1/2

Step-by-step explanation: because 27 divided by 27 is 13.5 or 13 1/2.

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Mamont248 [21]

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divide it by 7 we get 3 /7

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The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra

kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

$p-50 = \dfrac{50-52}{4000-3800}(x - 4000)$

$p-50 = \dfrac{-2}{200}(x - 4000)$

$p-50 = \dfrac{-x}{100}+ 40$

$p = \dfrac{-x}{100}+ 90$

R(x) = x . p

$R(x) = x (\dfrac{-x}{100}+ 90)$

$R(x) = \dfrac{-x^2}{100}+ 90x)$

$\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))$

$\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)$

at $\dfrac{d}{dx}(R(x)) = 0$

$\dfrac{-2x}{100}= -90$

x = 4500

$\dfrac{d^2}{d^2x}(R(x)) = -ve$

hence at x =4500 the revenue is maximum

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$p = \dfrac{-4500}{100}+ 90$

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3 years ago

What is the solution of x+4/2x-1<0

Vikentia [17]

Answer:

$\large\boxed{ -4$

Step-by-step explanation:

$Domain:\ 2x-1\neq0\to x\neq\dfrac{1}{2}$

$\dfrac{x+4}{2x-1}$

$(x+4)(2x-1)=(x)(2x)+....=2x^2+...\to 2>0\\\\\text{therefore the parabola is op}\text{en up}$

$\text{Look at the picture.}$

$\dfrac{x+4}{2x-1}$

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Solve the equation x² = 1.21 *

gogolik [260]

Answer:

x = 1.1, -1.1

Step-by-step explanation:

This is the answer because:

1) Take the root of both sides and solve.

$\sqrt{1.21}$ = 1.1

2) x can also equal -1.1 because -1.1 times -1.1 gives us a positive 1.21 because negative x negative = positive

Hope this helps!

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3 years ago