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Alina [70]
3 years ago
9

the perimeter of a basketball court is 102 meters, and length is 6 meters longer than twice the width, what r length and width.

what is width _m.
Mathematics
1 answer:
stepladder [879]3 years ago
7 0
Perimeter = 2(l + w)

Thus,

102 = 2(l + w)

l = 6 + 2w

102 = 2( 6 + 2w + w)
102 = 12 + 4w +2 w
102 = 12 + 6w
90 = 6w

Thus, w = 15.

Length = 6 + 2w
= 6 + 30
= 36.

Thus, the length is 36 meters and width is 15 meters.
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A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti
fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}

Then the checking for maximum or minimum, again differentiate, we have

\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}

The value is less than zero hence maximum value will occur at d = 25.

Then maximum profit will be

P(d) = (− 4×25 + 40) (25 − 40)

P(d) = (− 100 + 40) (−15)

P(d) = (− 60) (− 15)

P(d) = $ 900

More about the differentiation link is given below.

brainly.com/question/24062595

#SPJ1

7 0
2 years ago
7.<br> Find the value of x. Round the length to the nearest tenth.<br> х<br> 40°<br> 11 cm
ivann1987 [24]

Answer:

x = 10.9 cm

Can i have brainliest i need 2 for virtuoso

Step-by-step explanation:

8 0
2 years ago
*6. Five brothers each bought two hot dogs &amp; a bag of chips. If the chips
Oxana [17]
D- 1.65 per hot dog

Take the amount of the bag of chips which is 1.25 and multiply it by 5 because that’s how many people there are and they each bought one bag
1.25 x 5= 6.25
Next you want to subtract that amount from the total so we can just have the amount of money spent on hot dogs
22.27-6.25=16.50
Then you want to divide 16.50 by 5 because they all bought the same amount of hot dogs and this will get us to the amount of to hot dogs
16.50/5=3.30
Finally you want to divide 3.30 by 2 which will get us the price for 1 hot dog
3.30/2=1.65

There you go!!
3 0
2 years ago
Read 2 more answers
How do you solve these?​
Vinil7 [7]
For the first one, the answer is -1 1/5

for the second one, the answer is 2.75


for the third one and fourth one,
To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one
6 0
2 years ago
What does this mean? please help
slavikrds [6]
If you're looking for the slope, the answer is 103.
4 0
3 years ago
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