The price of an adult ticket is $14 and the price of a children's ticket is $8.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Let x be the price of an adult's ticket and y be the price of a children's ticket.
One family bought 1 adult ticket and 3 children's tickets for a total of $38.
x + 3y = 38
Another family bought 2 adult tickets and 4 children's tickets for a total of $60.
2x + 4y = 60
We have two linear equations in two variables here.
x + 3y = 38
2x + 4y = 60
Multiplying the first equation throughout by 2, we get,
2x + 6y = 76
Subtracting the second equation 2x + 4y = 60 from the multiplied first equation 2x + 6y = 76, we get,
2x + 6y - (2x + 4y) = 76 - 60
2y = 16
y = 8
x + 3y = 38 ⇒ x = 38 - 24 = 14
Hence the price of an adult's ticket and children's ticket is $14 and $8 respectively.
Learn more about Linear Equations here :
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Carmen is 62.5 inches tall. How many centimeters tall is she?
1 inch
=
2.54 cm
Answer:
158.75
Step-by-step explanation:
two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance?
Let's practice a little algebra and set the second distance to x.
9/4=270/x
solve
9x=270*4
x=30*4
x=120
The second distance is 120.
Done! any question about this just ask me in the comment.
Find the Area: 12 ft 12 ft
a=12 ft
Po=(0.25×π×a²)
Pc=a²+0.5×Po
Pc=a²+0.5×(0.25×π×a²)
Pc=a²×(1+0.5×0.25×π)
Pc=a²×(1+0.5×0.25×π)
Pc=144×(1+0.5×0.25×π)
Pc≈200.55 ft²
the following are scores of students:9,7,8,9,7,5,8,10,7,8 and 10. the value of the population variance is 4. true or false?
Answer:
yesStep-by-step explanation:
yyyyyyyyyyyyyyyyyyyyyy
a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent
Answer:
Probability = 0.088 ie 8.8%
Step-by-step explanation:
P (I) = 40% = 0.4
P (L) = 35% = 0.35
P (C) = 25% = 0.25
P (EV / I) = 40% = 0.4
P (EV / L) = 75% = 0.75
P (EV / C) = 65% = 0.65
P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]
[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)
[(0.4) (0.4)] / [ 0.4 + 0.75 + 0.65 ]
0.16 / 1.8
= 0.088 ie 8.8%
Nolan is 11
4
5
years old. Jillian is 1
1
6
years older than Nolan and Jane is 1
1
3
years older than Jillian. How old is Jane?
Answer:
Jane is 13.
Step-by-step explanation:
Nolan is 11
Jillian is 12 because Jillian is 1 year older than Nolan.
Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.
how to answer dissimilar and similar fraction using addition and subtraction?
Answer:
Make their denominators equal using the concept of least common multiple. Then subtract their numerators accordingly. Rewrite each fraction to its equivalent fraction with a denominator equal to the LCM = 30, then subtract their numerators. Make sure to reduce your answer to the lowest term.
Step-by-step explanation:
Algebra 2
How do I solve this problem
Answer:
Step-by-step explanation:
You cannot solve the problem because it doesn't have an equal sign, but I suppose you can simplify it. Look at this screenshot, it may help:
Step-by-step explanation:
-\fraction{4v^2}{m^2}
that is the answer or if u want u can search up on a calculator called symbolab or math-way
Hello - I'm trying to find the answer for $6,000 x 10% x (1/12) to find the monthly interest rate
Answer:600
Step-by-step explanation:
Make the number 6 x 1000
Take 10% of the 1000
Now put the 6 and the 100 together
Write the product in standard form.
(2.3 x 10^2). (1.5 x 10^3)
Please help
Someone help me on question 4 plsss
Answer:
I think C
Step-by-step explanation:
A total of 560 tickets were sold
They were either adult or Student
tickets. The number of student tickets
Sold was 3 times the number of
tickets. How many adult
tickets sold 2
Answer:
I think it's 70
Step-by-step explanation:
i did 560/2 and got 280 and then divided 280 by 4 and got 70
Pls help me I’ll give brainliest
Answer:
-2.7<4.5
Step-by-step explanation:
Please help, ill give brainiest
A penny is dropped from the top of a new
building. Its height in feet can be modeled by
the equation y = 256 − 16x2, where x is the
time in seconds since the penny was dropped.
How long does it take for the penny to reach
the ground?
Answer:
4? I could be wrong. Sorry.
Step-by-step explanation:
You may need to use the appropriate technology to answer this question. The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study.
Quality of Management Reputation of Company
Excellent Good Fair
Excellent 40 25 8
Good 35 35 10
Fair 25 10 12
Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company.
a. State the null and alternative hypotheses.
b. Find the value of the test statistic. (Round your answer to three decimal places.)
c. Find the p-value. (Round your answer to four decimal places.)
Answer:
Step-by-step explanation:
The null and alternative hypothesis:
[tex]H_o \text{: Quality of management and reputation of company are independent}[/tex]
[tex]H_a \text{: Quality of management is not independent of the reputation of company }[/tex]
The observed values:
Excellent Good Fair Total
Excellent 40 25 8 73
Good 35 35 10 80
Fair 25 10 12 47
Total 100 70 30 200
The expected values = (Row total/column total)/grand total)
Excellent Good Fair
Excellent 36.5 25.55 10.95
Good 40 28 12
Fair 23.5 16.45 7.05
O E (O - E)²/E
40 36.5 0.3356
35 40 0.6250
25 23.5 0.0957
25 25.55 0.0118
35 28 1.7500
10 16.45 2.5290
8 10.95 0.7947
10 12 0.3333
12 7.05 3.4755
9.951
[tex]X^2 = \sum \dfrac{(O-E)^2}{E} \\ \\ \mathbf{X^2 = 9.951}[/tex]
Degree of freedom [tex]df = (r-1)(c-1)[/tex]
[tex]df = (3 - 1 ) (3 - 1)[/tex]
[tex]df = (2)(2)[/tex]
[tex]df = 4[/tex]
Using Excel formula =CHIDIST(x²,d.f)
The P-value = 0.0413
hlep plees
hi i need to do a test for mi 1 grad clas
what 2-2=
3-1=
and for my hom work
what is
56-210=
300x 285
please help
Answer:
0, 2, 154, 85,500
Step-by-step explanation:
these are the anwsers to your question
The larger of two numbers on three times the smaller. if the sum of the two numbers is 36 find the number?
Answer:
9 and 27
Step-by-step explanation:
Let the smaller number be x.
The larger of two numbers is three times the smaller.
Larger number = 3x
ATQ,
x+3x = 36
4x = 36
x = 9
Smaller number = 9
Larger number = 3x = 3(9) = 27
So, the numbers are 9 and 27.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 5.6 ppm with a variance of 0.49. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
Test statistic | t| = |-2.0607| = 2.0607
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 6.0 parts / million
The mean of sample x⁻ = 5.6ppm
The variance of the sample = 0.49
The standard deviation of the sample (s) = √0.49 = 0.7
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.6 - 6.0}{\frac{0.7}{\sqrt{13} } }[/tex]
t = -2.0607
Final answer:-
Test statistic | t| = |-2.0607| = 2.0607
A market analyst is curious what proportion Los Angeles residents have a landline telephone. A survey of 200
randomly selected Los Angeles residents shows that 96 of those selected have a landline telephone. The analyst
wants to use this data to construct a one-sample z interval for a proportion.
Based on this sample, which of the following is a 90% confidence interval for the proportion of Los Angeles
residents who have a landline telephone?
Answer:
0.48 ± 0.058
Step-by-step explanation:
Right on khan
(2x+y=-2
5x + 3y = -8
Solve by elimination
Answer:
y = -6, x =2
Step-by-step explanation:
To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.
2x+y = -2
5x + 3y = - 8
There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.
-6x -3y = 6
5x +3y = -8
Imagine you are adding the two equations together. You end up with
-x = -2
Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.
x = 2
Finally, choose one of your beginning equations and plug your new-found x value back into the equation.
2(2) +y = -2
4 + y = -2
y = -6
How many feet are in 26 miles, 1155 feet ?
Answer:
The answer is 137,280
Step-by-step explanation:
5280 ft. = 1 mile
So....
26 x 5280 = 137,280
what is the value of X? (20 points)
Answer:
54.5
Step-by-step explanation:
[tex]x \degree = \frac{1}{2} (160 \degree - 51 \degree) \\ \\ x \degree = \frac{1}{2} \times 109 \degree \\ \\ x \degree = 54.5 \\ \\ x = 54.5 [/tex]
What is the reciprocal of 1,058
Answer:
0.00094517958
Step-by-step explanation:
this is a answer I think so
Last week, the Tasha Cola company had sales of $2,346.87. This week, the company had sales of $8,867.14. Which is the best estimate of the company’s total sales for both weeks?
Answer:
$11,200 or $11,000
Step-by-step explanation:
The amounts are approximately $2,300 and $8,900 which add up to $11,200.
Answer: $11,200 or $11,000
It seems there are choices for this problem, but you did not include them, so I can't tell the exact correct answer.
find domain (y-10)/y^2-3
Answer:
[tex] y 3 - 10 {y 2} - 3[/tex]
Find the area of the trapezoid
Answer:
1/2(l1+l2) is the area of trapezium
Answer:
A=a+b /2h
Step-by-step explanation:
Mr. Arnold's class children make hand prints in the round clay mold for their parents the mall has a diameter of 12 cm what is the molds radius
Answer:
6
Step-by-step explanation:
the radius is half of the diameter
hope this helped :)
3(x-4)=12x distributing or diving
using number line what is 4-5
Answer:
-1Step-by-step explanation:
4 - 5 = -1
Count:
4, 3, 2, 1, 0, -1
b. Find the value of x below:
Answer: 5
Step-by-step explanation: it is a supplementary angle so it has to add up to 80
Answer:
5
Step-by-step explanation:
line = 180
therefore 15x + 5 + 100= 180
15x + 105 = 180
15x = 180 - 105
15x = 75
x = 75/15
x = 5
HOPE THIS WILL HELP!