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
user100 [1]
3 years ago
6

Tickets for the karaoke talent show sponsored by the Speech Club were priced at $3 for adults and $2 for students. The club trea

surer counted 300 tickets sold for a total of $650. Write and solve a system of equations to determine how many adult and student tickets were sold.
Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

50 adults and 250 students tickets were sold

Step-by-step explanation:

Given data

Let the number of adults be x and students be y

3x+2y=650------1

x+y= 300---------2

from 2

x= 300-y

put the value of x in 1

3(300-y)+2y= 650

900-3y+2y= 650

900-y= 650

900-650= y

y=250

put the value of y in 2

x+250= 300

x= 300-250

x= 50

Hence 50 adults and 250 students tickets were sold

You might be interested in
PLEASE help I will mark you as brainy
larisa86 [58]

Answer:

Step-by-step explanation:

45

8 0
3 years ago
Read 2 more answers
A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0
3 years ago
Given the sequence 7, 12, 17, 22, ...
abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

Computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5

The difference between all the adjacent terms is the same

so

d=5

as

a_1=7

Thus, the nth term of the arithmetic sequence will be:

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, option D is true.

7 0
3 years ago
Help! I'm not sure how to set this up. Here is the question; Faye paid $16.00 for a pair of shorts that were 20% off. What was t
IrinaVladis [17]
80/100*n=16

80n=1600

n=1600/80=160/8=20

---------------------------------------

Original price: $20.00
6 0
4 years ago
Read 2 more answers
your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song
vichka [17]

Answer:

After 100 songs

Step-by-step explanation:

2.50x=1.50x+50

.50x=50

÷.50

X=100

4 0
3 years ago
Other questions:
  • Thats no right the answer chocies are <br> A.700<br> b.1,200<br> C.75<br> D.100
    13·1 answer
  • The points (7,r) and (8,9) fall on a line with a slope of 5. What is the value of r?
    8·1 answer
  • 25% of what number is 18
    15·1 answer
  • I need these numbers Least to greatest
    13·1 answer
  • Find the LCM of 12x³y² and 16x²y<br><br><br>i need help<br>first person is the brainliest
    9·1 answer
  • Kieran made 42 pizzas while working 7 hours at Sam's. If Kieran has made
    15·1 answer
  • Give one example of when you would make a frequency table to solve a problem
    8·1 answer
  • Please help i will give you 10 points
    15·1 answer
  • Can please someone do this❗️
    5·1 answer
  • Identify the linear function graph
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!