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hjlf
2 years ago
10

A group of friends wants to go to the amusement park. They have no more than $225 to spend on parking and admission. Parking is

$5, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine the number of people who can go to the amusement park.​
Mathematics
1 answer:
jok3333 [9.3K]2 years ago
8 0

Answer:

We want to write and solve an inequality to determine the number of people who can go to the amusement park.

The solution is p ≤ 11

The friends have a maximum of $225 to spend.

The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220

Each ticket costs $20, so the cost for p people is:

p*$20

And this must be equal to or smaller than $220, then we get the inequality:

p*$20 ≤ $220

To solve it for p, we need to divide both sides by $20, we will get:

p*$20/$20 ≤ $220/$20

p ≤ 11

This inequality gives the number of people that can go to the amusement park.

Step-by-step explanation:

Hope this helps you!!!!!!!!!!! :D

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ra1l [238]

Option B: FECBAD represents the Hamilton path

Explanation:

The vertices in the given graph are A,B,C,D,E and F

We need to determine the Hamilton path of the given graph.

By definition, we know that a Hamilton path touches each and every vertex in a graph exactly once.

Hence, we need to connect the vertices in such a way that the graph touches each and every vertex exactly once.

Option A: EFADECBA

From this description, we can see that the path starts from the vertex E and connects all the vertices but some of the vertices are repeated twice.

Hence, the path EFADECBA is not a Hamilton path.

Therefore, Option A is not the correct answer.

Option B: FECBAD

From this description, we can see that the path starts from the vertex F and connects all the vertices exactly once.

Hence, the path FECBAD is the Hamilton path.

Therefore, Option B is the correct answer.

Option C: ADEFBC

From this description, we can see that the path starts from the vertex A and connects all the vertices but the path from F to B has to touch the vertex A. Thus, the vertices are repeated twice.

Hence, the path ADEFBC is not a Hamilton path.

Therefore, Option C is not the correct answer.

Option D: ADECBAFE

From this description, we can see that the path starts from the vertex A and connects all the vertices but some of the vertices are repeated twice.

Hence, the path ADECBAFE is not a Hamilton path.

Therefore, Option D is not the correct answer.

6 0
3 years ago
Find the slope of the line that passes through (-11, 75) and (27, -9).
Marrrta [24]

Answer:

\frac{y__2-y__1}{x__2-x__1}

y = -9 + 75 = 66

x = 27-(-11) = 27 + 11 = 38

slope = 66/28

5 0
2 years ago
Tom wants to buy some protein bars and magazines for a trip he has decided to buy three times as many protein bars with magazine
kumpel [21]

Answer:12 Protein bar and 3 magazines

Step-by-step explanation:

Given

Tom purchases Protein bars 3 times as much as magazine

Each bar cost  \$ 0.7

Each magazine costs \$ 2.50

Sales tax is 6.5 %

suppose Tom buy x magazines so

Price of magazine is 2.5 x

Price of bars is 3\times 0.7x=2.1 x

Total Price=2.5 x+2.1 x=4.6 x

After sales tax =4.6x(1+0.065)=4.899 x

This must be less than \$ 20

so 4.899x < 20

x< 4.082

thus x=4

so he but 4 magazines and 12 protein bars

3 0
3 years ago
An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th
Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09

(2)

As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.

The <em>z</em> value for α = 0.09 is,

<em>z</em> = 1.69

(3)

Compute the 91% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

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(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0
3 years ago
Can someone help me please?
nata0808 [166]

Answer:

you would problely need to look it up on google

Step-by-step explanation:

5 0
3 years ago
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