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krok68 [10]
2 years ago
5

Please Help Ill Give Brainliest

Mathematics
2 answers:
MaRussiya [10]2 years ago
8 0

Answer:

Equation:   32.75p + 16.75 = 311.50

Answer:   p = 9

Step-by-step explanation:

Given information:

  • $32.75 = Cost of a ticket (per person).
  • $16.75 = Cost of parking.
  • $311.50 = Maximum amount to spend.

<u>Defined variable</u>:

Let p = number of people who can go to the amusement park.

Create an equation from the <u>given information</u> and the <u>defined variable</u>:

32.75p + 16.75 = 311.50

Solve the equation:

⇒ 32.75p + 16.75 = 311.50

⇒ 32.75p + 16.75 - 16.75 = 311.50 - 16.75

⇒ 32.75p = 294.75

⇒ 32.75p ÷ 32.75 = 294.75 ÷ 32.75

⇒ p = 9

Therefore, 9 people can go to the amusement park.

shusha [124]2 years ago
3 0

Answer: 311.50=16.75+32.75p

p=9

Step-by-step explanation:

311.50=16.75+32.75p

311.50-16.75=32.75p

294.75=32.75p

p=9 people

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Answer:

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large yards: 1 = 30$

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Step-by-step explanation:

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3 years ago
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The point B lies on the segment AC.
svet-max [94.6K]

Answer:

(9, -5)

Step-by-step explanation:

The vector AC has coordinates (27, -18), because:

21 - (-6) = 27

-13 - 5 = -18

If the ratio of AB to BC is 5 to 4, it means that

AB = [5/(5+4)]AC = (5/9)AC

Therefore, we have

AB = (5/9)AC = (5/9) (27, -18) = (15, -10)

Which means that:

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So B has coordinates (9, -5).

4 0
3 years ago
Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
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Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

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y(x)=C_1*sin(x)-3a

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y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

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I need like a lot of help I’m bout to fail
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