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Harlamova29_29 [7]
3 years ago
14

At the Sunnyvale Play House, the price for an adult ticket is $12 and the price of a child's ticket is $6. For Saturday night's

play, 125 tickets were sold, totaling $1,140. Which system of equations correctly represents this situation where a represents the number of adult tickets sold for Saturday night's play and c represents the number of child tickets sold?
1. a + c= 125 and 12a+6c=1140

2. 12a+6c=125 and a+c=1140

3. a+c=125 and 6a+12c=1140

4. 6a+12c=125 and a+c=1140
Mathematics
1 answer:
Rzqust [24]3 years ago
4 0

Answer:

a + c = 125 & 12a + 6c = 1140

Step-by-step explanation:

adult ticket total + child ticket total = 125 total tickets

($12 x adult ticket total) + ($6 x child ticket total) = $1140

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What does 6x − 9 = 45 equal?
Westkost [7]

Answer:

9

Step-by-step explanation:

Add nine to both sides:

6x = 54

Divide by six:

\frac{6x = 54}{6}

x = 9

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In square ABCD, there are shaded regions bounded by arcs of circles with centers at A,B,C and D. Determine the area of the white
Alinara [238K]

Answer:

Area of the square = 36

We can assume that the total area of the 4 circle sections is equal to the area of one circle with a 3 inch radius.

Area of Circle = PI * 3 * 3

Area of white region = 36 - PI * 9

Answer is D

Step-by-step explanation:

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3 years ago
What is the approximate area of the triangle below?<br> 95 degrees 35 degrees 14cm.
svp [43]

By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)

<h3>How to calculate the area of a triangle by Heron's formula</h3>

Prior to using Heron's formula, we must find the lengths of the missing sides by law of the sines:

A = 180° - 95° - 35°

A = 50°

b = 14\,cm \times \frac{\sin 35^{\circ}}{\sin 50^{\circ}}

b ≈ 10.483 cm

c = 14\,cm \times \frac{\sin 95^{\circ}}{\sin 50^{\circ}}

c ≈ 18.206 cm

Now, we proceed to calculate the area of the triangle:

s = 0.5 · (14 cm + 10.483 cm + 18.206 cm)

s = 21.345 cm

A = \sqrt{(21.345\, cm) \cdot (21.345\, cm - 14\,cm)\cdot (21.345\, cm - 10.483\,cm)\cdot (21.345\,cm - 18.206\,cm)}

A ≈ 73.113 cm²

By utilizing the law of the sines and Heron's formula, we find that the <em>approximate</em> area of the triangle is approximately 73.1 square centimeters. (Correct choice: A)

To learn more on triangles: brainly.com/question/2773823

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4 0
2 years ago
The stem-and-leaf plot shows the points scored by Jason in nine basketball games.
Pepsi [2]

Considering the given stem-and-leaf plot, the outlier is given by:

A - 40

<h3>What is an stem-and-leaf plot?</h3>

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Outliers are usually the lowest or the highest value in the data-set. In this problem:

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Answer:

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Step-by-step explanation:

15 minutes is

15 minutes * 1 hour/ 60 minutes = 1/4 hour

15 minutes = 1/4 of an hour

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