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2 years ago

Selling tickets to a

Mathematics

1 answer:

crimeas [40]2 years ago

8 0

Answer:

9 dollars

Step-by-step explanation:

Solve with a system of equations

Let adult tickets be a and student tickets be s

1. 8a + 13s = 176

2. 4a + 4s = 68

3. s = 17 - a

Equation 2 is friendlier, so let's divide all the numbers by 4.

a + s = 17

Equation is s = 17 - a

Substitute s in equation 1

8a + 13(17-a) = 176

8a + 221 - 13a = 176

221 - 5a = 176

5a = 45

a = 9

The price of an adult ticket is 9 dollars

Hope this helps :)

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nasty-shy [4]

Answer:

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Step-by-step explanation:

So since there are 10 items:

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So : 10 items x 9 possibilites = array of 90

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Hope I helped :)

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3 years ago

It takes Matt 6 minutes to swim 12 laps in the pool. How many laps could he swim in 9 minutes?

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Answer:

Step-by-step explanation:

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3 years ago

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Answer: a) c(x) = 0.124x + 1.1, b) 13 units

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Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

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Break even point is the point where total revenue equals total cost

R(x) = c(x)

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3 years ago

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Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

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and the radius of the circle be r

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The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

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A represent the total area of the square and circle.

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Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

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For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

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Again differentiating with respect to r

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$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

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$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

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2 years ago

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