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
Fofino [41]
3 years ago
12

If there are 150 students less than three times the number of teaches and together purchased 1778 tickets. How many students bou

ght tickets and how many teacher?
Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

Students purchased 1296 tickets and teachers purchased 482 tickets.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of tickets purchased by students and y be the number of tickets purchased by teachers.

Total tickets purchased = 1778

Thus, we can write the equation:

x+y = 1778

There are 150 students less than three times the number of teacher's tickets.

Thus, we can write the equation:

x = 3y - 150

Solving the two equations, we get,

3y-150 + y = 1778\\4y = 1928\\y = 482\\x = 3(482)-150=1296

Thus, students purchased 1296 tickets and teachers purchased 482 tickets.

You might be interested in
Write a polynomial that represents the area of the square.
Tema [17]

Answer:

The answer to your question is Area = 49n² - 70n + 25    

Step-by-step explanation:

Data

Length of the side = 7n - 5

Formula

Area of a square = side x side

Process

1.- Substitute values

Area = (7n - 5)(7n - 5)

2.- Expand

Area = 49n² - 35n - 35n + 25

3.- Simplify

Area = 49n² - 70n + 25    

4.- The polynomial is 49n² - 70n + 25  

6 0
3 years ago
Read 2 more answers
Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π
jolli1 [7]
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π  is equivalent to 180°. This plot could determine one variable if the other is given.

4 0
3 years ago
For the love of God help me !! I'm desperate for it tomorrow
Eduardwww [97]
Try to relax.  Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before.  But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.

Consider this:  (2)^a negative power = (1/2)^the same power but positive.

So: 
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.

What I just said in that paragraph was:  log₂ of(N) = <em>- </em>log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.

Now let's look at the problem:

log₂(x-1) + log(base 1/2) (x-2) = log₂(x)

Subtract  log₂(x)  from each side: 

log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0

Subtract  log(base 1/2) (x-2)  from each side:

log₂(x-1) - log₂(x)  =  - log(base 1/2) (x-2)  Notice the negative on the right.

The left side is the same as  log₂[ (x-1)/x  ]

==> The right side is the same as  +log₂(x-2)

Now you have:  log₂[ (x-1)/x  ]  =  +log₂(x-2)

And that ugly [ log to the base of 1/2 ] is gone.

Take the antilog of each side:

(x-1)/x = x-2

Multiply each side by 'x' :  x - 1 = x² - 2x

Subtract (x-1) from each side:

x² - 2x - (x-1) = 0

x² - 3x + 1 = 0

Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .

I think you have to say that <em>x=2.618</em> is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.


There,now.  Doesn't that feel better. 
 






4 0
3 years ago
I need help please!!!!!!!
k0ka [10]

Answer:

1 roll of ribbon, 1 package of buttons, and 3 packages of beads

Step-by-step explanation:

Use the information you found about how much each makes to answer the question.

Lynette will make 6 decorations.

Since 1 roll makes 6, she needs 1 roll.

Since 1 package of buttons makes 6, she needs 1 package.

Since 1 package of beads makes 2, she needs 3 packages.

5 0
3 years ago
Show how to compute 3+5 using a number line
scZoUnD [109]

Answer:

Step-by-step explanation:

divide the gap between 0 and 1 into 5 equal parts and take first 3 parts from 0

5 0
2 years ago
Other questions:
  • Choose the best definition for the following term: factor
    8·1 answer
  • Answer 2(4/3w + w)<br><br>the perimeter is 28 inches.<br>what is the area of the rectangle?
    6·1 answer
  • Order the numbers from least to greatest. -7/5, -1 5/11, -1.45, -1 91/200​
    12·1 answer
  • What's the answer for number 7?
    10·2 answers
  • A painter used 20 drops of red paint to make a certain shade of pink.How many drops of white paint should he add to 12 drops of
    7·1 answer
  • One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.
    11·1 answer
  • To join Ace Gym, one must pay a $180 membership fee plus dues of $35 per month. To join Best Gym, one must pay a $300
    7·1 answer
  • At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to th
    14·2 answers
  • What is x if 3x+6= 39
    8·2 answers
  • In a stock of 12 blouses, 90 are sleeveless. How many percent of the stock are sleeveless?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!