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
puteri [66]
3 years ago
6

Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1

100, how many student tickets were sold? How many adult tickets were sold?
Mathematics
2 answers:
makkiz [27]3 years ago
8 0

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

\begin{aligned}\\&#10;x+y&=320\\&#10;y&=320-x\\&#10;\end                    .......1

Now as the total money with ticket selling is $1100. Thus,

2.5x+4y=110

Keep the value of u from the equation 1 in the above equation. We get,

\begin{aligned}&#10;2.5x+4(320-x)&=1100\\&#10;2.5x+1280-4x&=1100\\&#10;-1.5x&=1100-1280\\&#10;-1.5x&=-180\\&#10;x&=\dfrac{180}{1.5} \\&#10;x&=120\\&#10;\end

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

y=320-x\\&#10;y=320-120\\&#10;y=200

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

brainly.com/question/787279

notsponge [240]3 years ago
4 0

Answer:

adult tickets = 275

student tickets = 440

Step-by-step explanation:

You might be interested in
Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab
Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

\frac{14x}{14}=\frac{56}{14}\\x=4

Hence,

Audrey can afford 4 hours of lesson.

7 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0
3 years ago
Find all the powers of 4 in the range of 1000
Nikitich [7]
4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
<span>4 to the 4th is 256</span>
5 0
4 years ago
Mr Black. 32 kg mg jars of peanut butter for school snacks. he spread the peanut butter on Bagels to feed 60 students. How many
hoa [83]

Answer:

Amount of peanut butter each student get = 533.34 gram (Approx.)

Step-by-step explanation:

Given:

Amount of peanut butter Mr black has = 32 kg

Total number of students = 60 students

Find:

Amount of peanut butter each student get

Computation:

Amount of peanut butter Mr black has = 32 kg

Amount of peanut butter Mr black has = 32 x 1,000 gram

Amount of peanut butter Mr black has = 32,000 gram

Amount of peanut butter each student get = Amount of peanut butter Mr black has / Total number of students

Amount of peanut butter each student get = 32,000 / 60

Amount of peanut butter each student get = 533.33

Amount of peanut butter each student get = 533.34 gram (Approx.)

4 0
3 years ago
Find the measure of x in the figure. show your work. answer asap please
fenix001 [56]

Answer:

x=25

Step-by-step explanation:

2x+40=90

90-40=50

50 divided by 2 is 25

x=25

5 0
3 years ago
Other questions:
  • The diameter of a circle is 10 meters. What is the area, in square meters , of the circle
    8·1 answer
  • Someone please help me with this question I need it ASAP
    5·1 answer
  • Please help me answer this and the imagine might be a little Blurry just zoom in the help out. Thank you
    7·1 answer
  • If the circumference equals pi over 2, what is the area of a circle?
    14·1 answer
  • For what value of v is 3 ÷ (v - 3) undefined? A) 3 B) -3 C) Both A and B D) Neither A nor B
    13·1 answer
  • 5. Which equation does not represent a line
    5·1 answer
  • What is the value of x?
    14·2 answers
  • Nine people are evenly sharing 13 burgers.<br> How many burgers should each person get?
    9·2 answers
  • Given: <br> m∠1 = 95m∠2 = 36∠3 ≅ ∠ACE<br> please help
    9·1 answer
  • What is the equation, in slope-intercept form, of the line that contains the points (4, 11) and (-4, -5)? A. y = 2x + 3 B. y = -
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!