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topjm [15]
2 years ago
10

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a cer

tain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?
Mathematics
1 answer:
aleksandrvk [35]2 years ago
8 0

Answer:

150 children attended the fair that day

Step-by-step explanation:

Let n represents the number of children attended.

Since there were 350 people attended, the number of adults is 350-n

Since the cost of admission is $3 per adult, the admission fee gained by adults is:

→ 3(350-n)  (1)

Since the cost of admission is $2 per child, the admission fee gained by children is:

→ 2n  (2)

Since the total admission fees were $900, the total of 1 and 2 must be equal to 900

→ 3(350-n) + 2n = 900

→ 1050 - 3n + 2n = 900

→ n = 150

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Trigonometry
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

For a triangle the area is

A=\frac{1}{2}bh

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

sin(20)=\frac{b}{4} and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it.  So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

cos(20)=\frac{h}{4} and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

A=\frac{1}{2}(2.736)(3.759) and

A = 5 meters squared.

7 0
3 years ago
If anyone knows please help me
pishuonlain [190]

Answer:

Step-by-step explanation:

Standard form of a circle is given by,

(x - a)² + (y - b)² = r²

Here, (a, b) is the center and 'r' is the radius of the circle.

For a circle having center (8, -4) and radius r = 1

Equation of the circle will be,

(x - 8)² + (y + 4)² = 1²

(x - 8)² + (y + 4)² = 1

Option (1) is the answer.

Question (2)

Circle with the center (-1, 0) and a point (2, -4) on it,

Radius of the circle = Distance between the center and the given point on                                         circumference

                                = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

                                = \sqrt{(-1-2)^2+(0+4)^2}

                                = \sqrt{9+16}

                                = 5

Therefore, equation of the circle will be,

(x + 1)² + (y - 0)² = 5²

(x + 1)² + y² = 25

8 0
3 years ago
I need help asap someone please help ​
Dvinal [7]

Answer:

c = 20

so , c >20 ...........

8 0
3 years ago
Select the correct answer.
katen-ka-za [31]

Answer: B

how close their measurements are to each other

Step-by-step explanation:

The students in a science class did not know the length of the board before taking turns to measure the length of a certain board.

The characteristic of their measurements that best indicates

their accuracy will be how close their measurements are to each other.

If the actual length is known before the carry out the measurements, there average value will be neccessarily to determine their accuracy.

Therefore, option B is the best option.

5 0
3 years ago
Find the output value of the function. f(x)=5x-8 for f(7)
Molodets [167]

Answer:

27

Step-by-step explanation:

f(x) = 5x - 8

f(7) = 5(7) - 8 = 27

3 0
3 years ago
Read 2 more answers
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