1answer.
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
agasfer [191]
2 years ago
8

Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25

students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below
Mathematics
1 answer:
Nata [24]2 years ago
7 0

Answer:

$20

Step-by-step explanation:

Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.

30s+4a=720

25s+4a=620

What is the cost for each student ticket?

Solution:

30s+4a=720

(1)

25s+4a=620 (2)

Subtract (2) from (1)

30s - 25s = 720 - 620

5s = 100

Divide both sides by 5

s = 100/5

= 20

s = $20

Substitute the value of s into (1)

30s + 4a = 720

30(20) + 4a = 720

600 + 4a = 720

4a = 720 - 600

4a = 120

a = 120 / 4

= 30

a = $30

Each student tickets cost $20

You might be interested in
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.​
adell [148]
Length: w+4
Width:w
Perimeter:44
Area: L times w
P=44
44=2(w)+2(w+4)
44=2w+2w+8
44=4w+8
36=4w
w=9
L=w+4
L=9+4
L=13
Area should equal 117 cm squared
5 0
3 years ago
Part 4. Verbs
Pie

Answer:

MORE STUFF

Step-by-step explanation:

AD STUFF TO STUFF AND YOU GET MORE STUFF

8 0
3 years ago
During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

1000 = 300e^{24r}

e^{24r} = \frac{1000}{300}

e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

r = 0.05

So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
25 points
Gnoma [55]

Answer:

GJIH - WXYZ I guess I ryt

6 0
2 years ago
An ant walks 30 feet in 6 minutes.How long would it take the ant to walk 35 yards
pentagon [3]
You need to multiply 30 by 6 so 30times6 =your answer
4 0
3 years ago
Other questions:
  • Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
    12·1 answer
  • The perimeter p of a rectangle is related to the length l and width w through the equation p=2l+2w. determine the width in terms
    13·1 answer
  • Draw a quick picture to show the number 24. Then draw a quick picture to show 24 after you have regrouped ten as ones. Explain h
    5·1 answer
  • Lagrange Multiplier Million Dollar question. Anybody please Use the method of Lagrange multipliers to find the max and min value
    14·1 answer
  • Which graph represents the function f(x) = x1 - 22​
    7·1 answer
  • How to write 710,200 in word form
    13·2 answers
  • 2x+x+8=3x-2<br> Is this Infinitely Many Solution<br> One Solution <br> Or No Solution
    15·1 answer
  • enter an internet value that could be used in each of the blanks below to make the polynomial factorable
    7·1 answer
  • A group of adults plus one child attend a movie at AMC. Tickets cost $9 for adults and $6 for children. The total cost for the m
    10·1 answer
  • Chase plans to repaint some classroom bookcases. He has 1 4/7 ​ gallons of paint. All of the bookcases are the same size and eac
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!