answer.
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
sveta [45]
2 years ago
11

For the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,6

64. How many adult tickets and how many senior tickets were sold?
?= adult tickets ?= senior tickets
Mathematics
2 answers:
PSYCHO15rus [73]2 years ago
8 0

We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equatin before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

topjm [15]2 years ago
7 0

Answer:

88 adult tickets, 52 senior tickets

Step-by-step explanation:

Write the equation by adding the total values of each type of ticket.

13a+10(140−a)=1,664

We can solve this equation for a  to find the number of adult tickets sold.

13a+10(140−a)=1,664

13a−10a+1,400=1,664

3a=1,664

3a=264

a=88

So, the number of adult tickets sold was 88. Since the total number of tickets was 140, the number of senior tickets sold was 140−88=52.

You might be interested in
The sum of 6 consecutive even numbers is <br> 270.<br> What is the second number in this sequence?
KonstantinChe [14]
Lets find all the numbers..

x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)

Now add all those expressions and set them equal to 270 because that is the total.

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40

Now we will substitute 40 for x in the expression of the second number.

x + 2
40 + 2
42

So the second number is 42

Hope this helps :)
4 0
2 years ago
A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she survey
zysi [14]

Answer:

z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

\hat p=0.30 estimated proportion of  people who  thought the economy is getting worse

p_o=0.32 is the value that we want to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:  

Null hypothesis:p=0.32  

Alternative hypothesis:p \neq 0.32  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

8 0
2 years ago
Jala put $600 in an interest bearing account with a annual compound interest rate of 5%. Jala determined that after seven years,
Arturiano [62]
The answer is 14.4 years
7 0
2 years ago
Read 2 more answers
in the drawing six out of every 10 tickets are winning tickets of the winning tickets one out of every three awards is a larger
Dafna11 [192]

Answer: P(\text{a ticket is randomly chosen will award a large prize)}=\frac{2}{21}

Since we have given that

Total number of tickets =10

Number of winning tickets =6

\text {Possibility of getting a winning ticket }=^{10}C_6

In which one out of every three awards is a large prize

so,

\text{ Possibility of getting a large prize }=^6C_3

Now,

P(\text{a ticket is randomly chosen will award a large prize)}=\frac{^6C_3}{^{10}C_6}\\\\=\frac{20}{210}\\\\=\frac{2}{21}

P(\text{a ticket is randomly chosen will award a large prize)}=\frac{2}{21}

8 0
2 years ago
Read 2 more answers
The graph shows the side view of a waterslide. dimensions are in feet.
Zinaida [17]

Two points on slide are (0, 80), (5, 40).

Step-by-step explanation:

The graph shows the side view of a waterslide and its dimensions are in feet.

First to find (0, ___) and then to find (____, 40).

In the first point <em>x</em>-coordinate is 0 and <em>y</em>-coordinate for the corresponding <em>x</em>-coordinate is 80.

In the second point <em>y</em>-coordinate is 40 and the <em>x</em>-coordinate for the corresponding <em>y</em>-coordinate is 5.

So, the two points are (0, 80), (5, 40).

3 0
2 years ago
Read 2 more answers
Other questions:
  • Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. on sunday sam hopes to make at least $150 pa
    9·2 answers
  • Gabriela will construct a line parallel to EF¯¯¯¯¯ through point G.
    7·2 answers
  • List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.
    14·2 answers
  • Data was collected about the amount of rainfall in inches according to temperature. Describe how to create a scatterplot of the
    9·2 answers
  • ((whoever gets this right gets brainliest))
    8·2 answers
  • 12,400 x one and one fifth = ________. Will the product of this equation be less than or greater than 12,400? Explain your reaso
    7·1 answer
  • A curious student asks his math teacher: "I heard you have three daughters. How old are they?" The math teacher says: "Well, the
    9·1 answer
  • The assistant manager of a surf shop estimates that 65% of customers will make a purchase. Part A: How many customers should a s
    5·1 answer
  • HELP PLEASE!!!!
    7·2 answers
  • Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!