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san4es73 [151]
3 years ago
14

Johnny bought 6 movie tickets and spent $54, of the tickets he bought 3/6 were children's tickets that cost $8 each. The other t

ickets. We're adult tickets . How much does on adult ticket cost?
Mathematics
2 answers:
Zielflug [23.3K]3 years ago
7 0
10$ each because 8*3=24    54-24= 30    30/3 = 10
Advocard [28]3 years ago
6 0
$10 for an adult ticket

$8 x 3 tickets = $24 total for kids

$54 - $24 = $30 (to find out war was spent on adults)

$30 / 3 tickets left = $10 per adult ticket
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eduard

Answer:

b

Step-by-step explanation:

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3 years ago
Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0
2 years ago
Max <br> p=3x+2y <br> subject to <br> 5x+y&lt;16 <br> 2x+3y&lt;22 <br> x&gt;0 <br> y&gt;0
garri49 [273]

Answer:For all the corner points, the maximum is at point (1, 3)

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For (0, 0): p = 0 + 2(0) = 0

For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67

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3 0
3 years ago
the manager of a symphony computes that the symphony will earn -40p^2+1100p dollars per concert if they charge P dollars for tic
cluponka [151]

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

<em>f(p) =-40p^2+1100p</em>

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

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Substitute p = 13.75 into the function

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f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

5 0
3 years ago
A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na
ira [324]

Answer:

Approximately 58.2\; \text{nautical miles} (assuming that the bearing is {\rm S$29^{\circ}$W}.)

Step-by-step explanation:

Let v denote the speed of the ship, and let t denote the duration of the trip. The magnitude of the displacement of this ship would be v\, t.

Refer to the diagram attached. The direction {\rm S$29^{\circ}$W} means 29^{\circ} west of south. Thus, start with the south direction and turn towards west (clockwise) by 29^{\circ} to find the direction of the displacement of the ship.

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\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}.

Substitute in \begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned} and t = 6\; \text{hour}:

\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}.

7 0
2 years ago
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