answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pashok25 [27]
2 years ago
15

The MTC Theater holds 250 people, and last night's performance sold out! Children's tickets were $2.50 per ticket, while adults

paid $4.00 per ticket. Last nights show brought in $910. Write an equation or system of equations to find out how many children and how many adult tickets were sold.
Mathematics
1 answer:
olasank [31]2 years ago
6 0

60 children tickets and 190 adult tickets were sold.

<u>Step-by-step explanation:</u>

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,

a + c = 250

a = 250 - c

4a + 2.5c = 910

Substitute a value

4(250 - c) + 2.5c = 910

1000 - 4c + 2.5c = 910

1000 - 1.5c = 910

-1. 5c = -90

1.5c = 90

c = 90/1.5

c = 60

a + c = 250

a + 60 = 250

a = 190

60 children tickets and 190 adult tickets were sold.

You might be interested in
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room
Lynna [10]

Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

5 0
2 years ago
6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of
PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

a=\$4.25

b=\$2.25

c=\$4.00/lb

we know that

He wants to buy a tuna sandwich, a bottle of  apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

a+b+cx \leq 8

substitute the given values

4.25+2.25+4.00x \leq 8

Solve for x

Combine like terms

6.50+4.00x \leq 8

Subtract 6.50 both sides

4.00x \leq 8-6.50

4.00x \leq 1.50

Divide by 4 both sides

x \leq 1.50/4.00

x \leq 0.375\ lbs

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0
2 years ago
Today, the Great Pyramid at Giza near Cairo, Egypt stands 137 meters tall, coming to a point.Its base is a square with each side
Vlad1618 [11]
Hope you can see the picture and understand the drawings.

It can seem complex at first but you just have to think it through. 

I use pythagoras' theorem to find the diagonal of the base square and then use that information along with the height with the aid of that ever so handy pythagoras' theorem to find the length of the slope. 

8 0
2 years ago
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
7nadin3 [17]

The equation of the cone should be z=\sqrt{x^2+y^2}. Parameterize S by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+u\,\vec k

with 1\le u\le2 and 0\le v\le2\pi. Take the normal vector to S to be

\vec s_v\times\vec s_u=u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k

Then the integral of \vec F across S is

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_1^2(-u\cos v\,\vec\imath-u\sin v\,\vec\jmath+u^3\,\vec k)\cdot(u\cos v\,\vec\imath+u\sin v\,\vec\jmath-u\,\vec k)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_1^2(-u^2-u^4)\,\mathrm du\,\mathrm dv

=\displaystyle-2\pi\int_1^2(u^2+u^4)\,\mathrm du\,\mathrm dv=\boxed{-\frac{256\pi}{15}}

3 0
2 years ago
Read 2 more answers
Jerome and eric start their hike at point a and follow the trail in the counterclockwise direction. they stop at point w to eat
Delicious77 [7]

Answer:

16 miles

Step-by-step explanation:

make mw as brainleist

4 0
2 years ago
Other questions:
  • The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. There are 50 red tacks. How many blue tacks are on the boa
    10·1 answer
  • Hal, Zelda, Maya , and Jason each recorded the height and age of 5 classmates. They used the data to create the tables below.
    8·1 answer
  • The area of a triangle can be represented by the expression 14x^5+63x^2. If the base is 7x^2, write an expression to represent i
    8·1 answer
  • Write a function that represents the situation. Find the balance A in the account after the given time period t. $6200 deposit t
    6·2 answers
  • Vera uploaded a hilarious video of a squirrel to a funny videos website. It was viewed 320 times on the first day. Each day sinc
    12·2 answers
  • A pebble is tossed into the air from the top of a cliff. The height, in feet, of the pebble over time is modeled by the equation
    13·1 answer
  • Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
    14·2 answers
  • Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon
    13·2 answers
  • Which table shows a function that is decreasing only over the interval (–1, 1)? A 2-column table with 5 rows. The first column i
    5·2 answers
  • Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-s
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!