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Semmy [17]
3 years ago
10

There were 430 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $890. Ho

w many adults and how many children attended?
Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

Step-by-step explanation:

Number of adults = a

Number of children = c

Total people  = 430

a + c = 430 --------------(I)

Total amount =$890

3a + c =890 -----------(II)

Multiply equation (I) by (-1)

(I)*(-1)    -a - c = -430

(II)         <u>3a + c = 890</u>    {Now add and thus c will be eliminated}

           2a        = 460

a = 460/2

a= 230

Plug in the value of a in equation (I)

230 + c = 430

c = 430 - 230

c = 200

Number of adults = 230

Number of children = 200

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Answer:

Step-by-step explanation:

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3 years ago
As a store manger you would like to find out the average time it takes to unload the truck which delivers the merchandise for yo
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Answer:

The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

Step-by-step explanation:

We have the standard deviation for the sample, but not for the population, so we use the students t-distribution to solve this question.

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95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.975([tex]t_{975}). So we have T = 2.0322

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The upper boundary of the 95% confidence interval for the average unload time is 264.97 minutes

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3 years ago
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Riley brought cupcakes to a party. by the end of the party 5/6 of the cupcakes were gone. what fraction of the cupcakes were lef
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1/6

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Answer:

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3. Y-intercept (b)

First, choose two pairs of coordinates to use for solving the slope of the line:

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(x2, y2) =  (1, 47)

User the following formula for slope

m = \frac{y2 - y1}{x2 - x1}

Plug in the values of the coordinates into the formula:m = \frac{y2 - y1}{x2 - x1} = \frac{47 - 46}{1 - 0} = \frac{1}{1} = 1

Therefore, the slope (m) = 1.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, 46) is the y-intercept. Therefore, b = 46.

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Upon completion of an experiment a student realizes that the technique used for measuring the length and width of a rectangle ha
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Answer:

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