Answer:
Adult Ticket Price = $13
Child Ticket Price = $13
Step-by-step explanation:
Let price of adult ticket be "a" and child ticket be "c"
13 adult and 14 child equals $351, so we can write:
13a + 14c = 351
and
2 adult and 7 child equals $117, thus we can write:
2a + 7c = 117
We multiply 2nd equation by (-2) to get:
-2 * [2a + 7c = 117]
= -4a -14c = -234
Adding botht he "bold" equations, we get:
13a + 14c = 351
-4a -14c = -234
------------------------
9a = 117
a = 117/9 = 13
Now to find b, we use the value of a gotten in the first equation:
13a + 14c = 351
13(13) + 14c = 351
169 + 14c = 351
14c = 182
c = 182/14 = 13
Hence,
<em>Adult Ticket Price = $13</em>
<em>Child Ticket Price = $13</em>
Answer:
x = 36˚
Step-by-step explanation:
- The 2 base angles in an isosceles triangle are equal
- Angles in a triangle sum to 180˚
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
<h3>What is a hexagon?</h3>
The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
More about the hexagon link is given below.
brainly.com/question/3295271
The area of the garden is 150 ft squared
Explanation:
The formula for perimeter is Length+length+width+width = 50 ft (in this case the perimeter is 50 ft, as stated in the question). We also know that the width of the garden is 10, so length + length + 10 + 10 = 50. Next we can turn it into an algebraic equation to find the length : x + x + 10 + 10 = 50
Solve the equation:
1) combine like terms
2x + 20 = 50
2) We want to isolate x by moving all of the other numbers to the other side of the equation. Since 20 is the only other number on the left side, we subtract 20 from both sides
2x + 20 - 20 = 50 - 20
2x = 30
3) Now, to find x, we want to just have one x on the left side instead of two, so we divide the equation by two to find that
2x/2 = 30/2
x = 15
Now we know that the length is 15 ft, and the width is 10 ft. Since the formula for finding area is length x width, we do 15 x 10 to get 150. Therefore, the area is 150 ft squared.
Have a nice day
