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
zavuch27 [327]
4 years ago
10

A theater sold 980 tickets for a ballet. The orchestra seats cost $50 each and the

Mathematics
1 answer:
blondinia [14]4 years ago
3 0

Answer:

310 balcony tickets were sold

Step-by-step explanation:

Part 1:

X=the number of orchestra seats sold

Y=the number of balcony seats sold

980=the total of tickets sold

X+Y=980

Part 2:

Orchestra seats cost $50

Balcony Seats cost $35

Total money collected $44,350

50X+35Y=44,350

X+Y=980

Y=980-X (substitute y in your second equation)

50X+35(980-X)=44,350

50X+34,300-35X=44,350

50X-35X=44,350-34,300

15X=10,050

X=670

Y=980-X

Y=980-670

Y=310

Check

50X+35Y=44,350

50(670)+35(310)=44,350

You might be interested in
What principal invested at 8% compounded continuously for 4 years will yield $1190?
zhuklara [117]
For continuously compounded interest:

Amount = Principle * e^(rate * time)

A rate of 8% converted to a decimal value: r=0.08
With time t=4
and amount 1190

Plug all these values in,

1190 = Principle * e^(0.08 * 4)

And use your calculator to solve for the principle.
Maybe we'll call it P to make things easier.

1190 = P * e^(0.08 * 4)
1190 = P * 1.377

The principle is being multiplied by this 1.377,
divide by 1.377 to undo the multiplication.

864.11735 = P

7 0
3 years ago
The cost of tuition at a college is $12,000 and is increasing at the rate of 6% each year. Use exponential function to find the
Gnesinka [82]

Answer:

The cost of tuition fee after 4 years is $15,149.72.

Step-by-step explanation:

Exponential function:

A=P(1+r)^n

A= the amount after n years

P= Initial amount

r= rate of increasing

n= time in years

The cost of tuition at a college is $12,000. It is increasing at the rate of 6% each year.

Here, P= $12,000, r= 6%= 0.06, n= 4 years.

\therefore A=12,000(1+0.06)^4

\Rightarrow A= 12000(1.06)^4

        =$15,149.72

The cost of tuition fee after 4 years is $15,149.72.

7 0
4 years ago
Easy. Fraction. Foundation. Help
Vlad [161]

Answer:

3/10

Step-by-step explanation:

multiply 10k to 0.3125 and you get 3,125 but if you put it in decimal form its 3.125 (3,125 ÷ 10,000) you can round down to 3 since the numbers on the right side of the decimal does not go over 5. (Simplist Form)

4 0
3 years ago
Find 3/8 of 48 !!!!!!!!!!
zloy xaker [14]
48/1 x 3/8  = 144/8 =  18
  OR
Divide 48 in 8 parts   and then take 3 of those
48/8=6
6x3=18
4 0
3 years ago
Mr. Prieto gets 16 points on a CFA that has 20 points possible. What is his percent correct?
hram777 [196]

Answer:

80%

Step-by-step explanation:

16/20×100

0.8×100=80

5 0
3 years ago
Other questions:
  • 5. What is the solution of |3x-3|_<18?
    6·1 answer
  • You earned a 84% on a science test. You
    6·1 answer
  • What is the mode of this data?<br> 1.7 8.9 3 5.9 3.2 4.1 6.6 0.7
    13·1 answer
  • What is the exact value of x in the exponential equation 2^8x-3=7 in log
    13·1 answer
  • In a first -aid kit the ratio of large bandages is 3 to 2. Based on this ratio, how many large bandages are in the kit if there
    7·1 answer
  • The formula for finding the interest on a loan is I = prt. Jack borrows $2,000 for 2 years at a rate of 2%. How much interest wi
    11·1 answer
  • This number is the length of a vector. It is always positive
    8·1 answer
  • What is x if x + 2y = 10 and y = 3?
    8·2 answers
  • What is 5+5 please tell me the answer
    15·2 answers
  • BRAINLIEST!!!!!!!!!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!