All categories

2 years ago

Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there

Mathematics

1 answer:

Alona [7]2 years ago

4 0

Answer:

Adult ticket is $60

Child ticket is $32

Step-by-step explanation:

Let x = price of adult ticket

y = price of child ticket

(1) 175x + 103y = 13796 (2) 2x + 2y = 184

x + y = 92

y = 92 - x

175x + 103(92 - x) = 13796

175x + 9476 - 103x = 13796

72x = 4320

x = 60 y = 92 - 60

y = 32

You might be interested in

Find the x-intercepts of the parabola with vertex (5,-4) and y-intercept (0,96). Write your answer in this form: (x1,y1),(x2,y2)

lesya692 [45]

Answer:

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

Step-by-step explanation:

we know that

The equation of the given parabola is

$(y-k)=a(x-h)^{2}$

we have

the vertex is the point (5,-4)

substitute

$(y+4)=a(x-5)^{2}$

The y-intercept is the point (0,96)

substitute and solve for a

$(96+4)=a(0-5)^{2}$

$100=a(25)$

$a=100/25=4$

The equation of the vertical parabola is equal to

$(y+4)=4(x-5)^{2}$

Find the x-intercepts

Remember that

The x-intercepts are the values of x when the value of y is equal to zero

For y=0

$4=4(x-5)^{2}$

Simplify

$1=(x-5)^{2}$

Rewrite

$(x-5)^{2}=1$

square root both sides

$(x-5)=(+/-)1$

$x=(+/-)1+5$

$x=(+)1+5=6$

$x=(-)1+5=4$

therefore

The x-intercepts are

(x1,y1)=(4,0)

(x2,y2)=(6,0)

4 0

2 years ago

-9 is____ units away from 0 on the number line.

Aloiza [94]

Answer:

My answer would be 9 unit away

Step-by-step explanation:

becuase you can subtract 0 from -9

0 + -9 would equal -9

then 9 - (-9) = 0

so 9 is my answer

sorry if i am wrong

7 0

3 years ago

What is the area of a trapezoid if the base is 5, 17, 5 and height is 4

Snowcat [4.5K]

Answer:

Step-by-step explanation:

Trapezoid

Solve for area

A=44

a Base

b Base

h Height

7 0

2 years ago

Every day Jack runs 3 km a) Find out how far he runs in 4 weeks

Dafna1 [17]

Answer:

84 km

Step-by-step explanation:

you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km

7 0

2 years ago

What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?

andreev551 [17]

Answer:

$V = 37.7cm^3$

Step-by-step explanation:

The formula for the volume of a cone is:

$V = \frac{1}{3} \pi r^2h$

Given:

- Radius = 2cm

- Height = 9cm

Let's plug these into the equation:

$V = \frac{1}{3} \pi (2)^2(9)$

Now solve:

$V = \frac{1}{3} \pi (4)(9)\\V = \frac{1}{3}\pi 36\\V = \frac{36}{3} \pi \\V = 12\pi \\V = 37.7cm^3$

Therefore, the volume of the cone is 37.7cm^3.

<em>I hope this helps!!</em>

5 0

2 years ago