Given:
On first day, the number of adult tickets sold, p=9.
On first day, the number of student tickets sold, q=3.
The total price of tickets sold on first day, t=$120.
On second day, the number of adult tickets sold, m=1.
On second day, the number of student tickets sold, n=1.
The total price of tickets sold on second day, T=$22.
Let x be the price of one adult ticket and y be the price of one student ticket.
Hence, the expression for the total price of tickets sold on first day is,
\(\begin{gathered} t=px+qy \\ 120=9x+3y\text{ ---(1)} \end{gathered}\)The expression for the total price of tickets sold on second day is,
\(\begin{gathered} T=mx+ny \\ 22=x+y\text{ ---}(2) \end{gathered}\)Now, multiply equation (2) by 3.
\(\begin{gathered} 3\times22=3x+3y \\ 66=3x+3y\text{ ---(3)} \end{gathered}\)Subtract equation (3) from equation (1) and solve for x.
\(\begin{gathered} 120-66=9x+3y-3x-3y \\ 54=6x \\ x=\frac{54}{6} \\ x=9 \end{gathered}\)So, x=9.
Now, substitute x=9 in equation (2) and solve for y.
\(\begin{gathered} 22=9+y \\ y=22-9 \\ y=13 \end{gathered}\)Therefore, the price of each adult ticket is $9 and the price of each student ticket is $13.
HELP ME PLEASEE IM NOT UNDERSTANDING THIS
Answer:
(10, 1), (15, 1), (20, 13), (25, 7)
IS a function
Step-by-step explanation:
The ordered pairs are (input, output). Essentially, the numbers in each ordered pair are the numbers at each end of an arrow. There are as many ordered pairs as there are arrows.
Working top-down on input values, the ordered pairs of this relation are ...
(10, 1), (15, 1), (20, 13), (25, 7)
None of the input values is repeated, so the relation is a function.
PLEASE HELP!!!!
The formula for the area of a trapezoid is
=12ℎ(1+2)
A=12hb1+b2
, where h is the height and
1
b1
and
2
b2
are the lengths of the two parallel sides.
Based on this formula, which of the following formulas are also true? Select three that apply.
Answer:
C, D, E
Step-by-step explanation:
You want to find equations for h and b1 or b2 given the formula for the area of a trapezoid is ...
A = 1/2h(b1 +b2)
RearrangementsDistributing the factor of 1/2, we get ...
\(A=h\left(\dfrac{1}{2}b_1+\dfrac{1}{2}b_2\right)\)
Dividing by the coefficient of h, we find ...
\(\boxed{h=\dfrac{A}{\left(\dfrac{1}{2}b_1+\dfrac{1}{2}b_2\right)}}\qquad\text{matches choice E}\)
Multiplying the original equation by 2 gives us ...
\(2A=h(b_1+b_2)\)
From here, we can solve for h or b2 as follows:
\(\boxed{h=\dfrac{2A}{b_1+b_2}}\qquad\text{divide by the coefficient of h; matches D}\\\\\\\\b_1+b_2=\dfrac{2A}{h}\qquad\text{divide by h}\\\\\boxed{b_2=\dfrac{2A}{h}-b_1}\qquad\text{subtract $b_1$; matches C}\)
What is the measure of angle GXI?
Answer: is there supposed to be a picture for it?
The measure of ∠GXI is equal to 60°.
What is a radian?The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given is the figure as shown.
We can write the measure of angle subtended by a single arc as -
α = 360°/12
α = 30° ... Eq{ 1 }
So, the measure of ∠GXI = 2α = 2 x 30° = 60°
∠GXI = 60°
Therefore, the measure of ∠GXI is equal to 60°.
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GEOMETRY FIND LENGTH OF THIRD SIDE
The other side length is √20 after applying the Pythagoras and other two sides are 2 and 2√3.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
One side length = 2
Other side length = 2√3
Apply Pythagoras
x^2 = 2^2 + (2√3)^2
x^2 = 4 + 12
x = √20
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4+6x64 please i have to go to school tomorrow
Answer:
388
Step-by-step explanation:
4+6x64
multiply 6 and 64
6 times 64 = 384
Add 4 to 384
384+4=388
Answer:
Easy
problem: 4+6x64
and next: multiply 6 and 64 = = 384
Add 4 to the answer 384 + 4 = 388
384+4=388
Step-by-step explanation:
Hopes this helps and brainlest please!
Chyra redeemed 175 shares of stock she owned in the fund shown below. Name of Fund NAV Offer Price CAH Group $15. 83 $16. 27 What were Chyra’s proceeds? a. $77. 00 b. $2,770. 25 c. $2,847. 25 d. $5,617. 50.
Chyra's proceeds from redeeming 175 shares of CAH Group stock amount to $2,770.25.
To calculate Chyra's proceeds, we need to multiply the number of shares she redeemed by the offer price per share. In this case, Chyra redeemed 175 shares and the offer price per share is $16.27.
Proceeds = Number of shares * Offer price per share
Proceeds = 175 * $16.27
Proceeds = $2,847.25
Therefore, the correct answer is option c: $2,847.25.
It's important to note that the answer provided in option c has a small discrepancy compared to the calculated value of $2,847.25. It is likely due to rounding differences or a typographical error in the options. Nonetheless, the closest option to the calculated value is option c, which is $2,847.25.
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Which sign makes the statement true?
16
1
16
Answer:
The multiplication symbol or ×, i know this because anything times 1 = that number, so like 7x1 would equal 7
A) NO CHANGE
B) famous and well-known
C) famous and commonly known
D) famous, commonly known
The correct option is B. Famous and well-known.
A person who is widely known is said to be famous, renowned, celebrated, noteworthy, notorious, distinguished, prominent, or illustrious. Being extensively and well known, even for a little period of time, is all that being famous really means. A known actress suggests greater honor and acclaim.
Celebrated, distinguished, eminent, illustrious, notable, notorious, and renowned are some popular synonyms for famous. All of these phrases refer to being "known far and wide," while "famous" only refers to the reality of having a large and widespread following.
Disclaimer
8 famous images showed Tweed with a bag of money in place of his
A) NO CHANGE
B) famous and well-known
C) famous and commonly known
D) famous, commonly known
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a company has purchased a policy that will compensate for the loss of revenue due to severe weather events. the policy pays 1000 for each severe weather event in a year after the first two such events in that year. the number of severe weather events per year has a poisson distribution with mean 1. calculate the expected amount paid to this company in one year.
The standard deviation, A = -1 is the expected amount paid to this company in one year.
What is standard deviation?
The variability in your dataset is measured by its standard deviation.It reveals the average deviation between each result and the mean.A low standard deviation denotes that values are grouped closely to the mean, while a large standard deviation denotes that values are often spread widely from the mean.The required payment random variable is given by
1000(x - 2 )
where x posses poison distribution with mean 1.
the expected value to be paid in the one year is given by
= 1000 ∑x=3 ( x - 2 ) e!/x!
= 1000 ( ∞∑ x= 0 ( x- 2 ) e⁻¹/x! - 2∑x = 0 ( x - 2 ) e⁻¹/x!
= 1000 ( A - B )
the expected value to be paid in the one year is given by
= 1000 ∑x=3 ( x - 2 ) e!/x!
= 1000 ( ∞∑ x= 0 ( x- 2 ) e⁻¹/x! - 2∑x = 0 ( x - 2 ) e⁻¹/x!
P ( K=x ) = e⁻¹/x!
so
∑ x=0 x p( k = x ) = ∞∑x = 0 x e⁻¹/x! = 1
and ∞∑x = 0 e⁻¹/x! = 1
∵ A = ∞∑X = 0 (x - 2 )e⁻¹/x!
A = 1 - 2 * 1
A = -1
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If you know any of these please help!
Answer:
5: 13
6: 7
7: 26
8: 18
9: x=11 , y=3
Step-by-step explanation:
5:
9x + 2 = 119
9x = 117
x = 13
6:
12x - 8 + 104 = 180
12x - 8 = 76
12x = 84
x = 7
7:
5x + 7 = 8x - 71
3x = 78
x = 26
8:
7x - 61 = 4x - 7
3x = 54
x = 18
9:
9x + 25 = 13x - 19
4x = 44
x = 11
13(11) - 19 + 17y - 5 = 180
143 - 24 + 17y = 180
119 + 17y = 180
17y = 61
y = 3
According to Hooke's Law, the force needed to stretch a spring is proportional to the distance the spring is stretched. If a force of 180 newtons stretches a spring 6 cm, what is the direct variation equation for this spring? If a force of 420 newtons was applied, what is the distance the spring will be stretched? Select all answers that apply.
[mark all correct answers]
a) f=6x
b) f=30x
c) f=70x
d)x=14
e) x=31.5
f) x=2.6
The direct variation equation is: b) f = 30x.
The distance 420 newtons will stretch is: d) x = 14.
How to Write a Direct Variation Equation?The direct variation equation can be defined as y = kx, where k is the constant of proportionality, which is k = y/x, while x and y are the variables.
Let y represent the distance the spring is stretched, while x represents the force that is applied to the spring.
If a force (f) of 180 newtons is applied to stretch a distance of the spring (x) to 6 cm, therefore:
Constant of proportionality, k = 180/6
Constant of proportionality, k = 30
To write the direct variation equation, substitute k = 30 into f = kx:
f = 30x.
To find the distance (x) the spring will be stretched when 420 newtons was applied, substitute f = 420 into y = 30x:
420 = 30x
420/30 = 30x/30
14 = x
x = 14
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If 8n = 128, n equals:
Answer:
8n is the same as 8 times a number.
That means...
Continuation:
\(8 * n = 128\)
\(128 \div 8 = n\)
\(128 \div 8 = 16\)
Therefore, n is 16.
Which two of the following are not characteristics of surveys?
A. Data are gathered during the course of the study.
B. Two or more treatments are compared imthe study.
C. The results of the study are analyzed statistically.
D. One or more treatment groups and a control group are included in
the study
Answer:
B and D
Step-by-step explanation:
Surveys are only tested with one group.
Which pair of undefined terms is used to define the term parallel lines?
Answer:
The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines
Step-by-step explanation:
Helppppp pleaseeee I will mark brainliest
Let P be the poset with vertices {A,B,C,D,E,F,G,H}, and comparisons A≤B≤C≤D≤E, F≤D, G≤H≤D, along with all reflexive comparisons V≤V for every vertex V, and all transitive comparisons formed from these (for example, A≤C, since A≤B and B≤C; or F≤E, since F≤D and D≤E). How many linear extensions does the poset P have?
The final answer is 16 - 1 = 15 linear extensions of the poset P.
The poset P has 8 linear extensions. We can determine the number of linear extensions by counting the number of topological sorts of the poset. A topological sort of a poset is a linear ordering of its vertices that respects the partial ordering. There are two ways to obtain a topological sort of the poset P:
1. Start with vertex A, then choose either B or F, then choose either C or G, then choose either D or H, and finally choose E. This gives us a total of 2 x 2 x 2 x 1 = 8 topological sorts.
2. Start with vertex F, then choose either A or G, then choose either B or H, then choose either C or D, and finally choose E. This also gives us a total of 2 x 2 x 2 x 1 = 8 topological sorts.
Therefore, the total number of linear extensions of the poset P is 8 + 8 = 16.
However, we need to subtract the number of topological sorts that are counted twice. These are the topological sorts that start with A, then choose F, then choose G, then choose H, and finally choose E. There are 1 x 1 x 1 x 1 x 1 = 1 of these topological sorts.
So the final answer is 16 - 1 = 15 linear extensions of the poset P.
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the function f(x)=-3 cos(2x+pi/4) has ___
The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] will be [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3].
What are domain and range?Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The range of the function we can see from the graph of the function will be from [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3]
The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).
Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] will be [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3].
The complete question is given below:-
what is the domain and range of the function
F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] .
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What is the solution to the linear equation? 2/4x - 1/2 = 1/3 + 5/6x
Answer:
x=-60/24 or -5/2
Step-by-step explanation:
u have to find X
2/4x - 1/2 = 1/3 + 5/6x
subtract 2/4x from both sides
to do that u need to have common denominator
2/4= 6/12
5/6=10/12
-1/2=1/3+4/12x
subtract 1/3 on both sides and u need common denominator
-1/2=-3/6
1/3=2/6
-5/6=4/12x
multiply 12/4 on both sides
x=-60/24
Answer:
x=-5/2
Step-by-step explanation:
2/4x-1/2=1/3+5/6x
-5/6x -5/6x
2/4x-5/6x-1/2 =1/3
+1/2 +1/2
6/12x-10/12x=2/6+3/6
-4/12x=5/6
x=5/6:(-4/12)=5/6*(-12/4)=-5/2
x=-5/2
2^3×(9-2)+12/4-|-5|
Answer:
54
Step-by-step explanation:
1- 2^3 =8
2-9-2=7
3- 8*7=56
4- 12/4=3
5-56+3=59
6- 59-5=54. (the req.)
Answer:
Answer is 57.3 recc..Step-by-step explanation:I have used a principle of BODMAS.
BracketOfDivisionMultiplicationAdditionSubstraction.hope it helps.
Find the area of the triangle. Round the answer to the nearest tenth. Triangle is SSA. a= 3.7 b= 3.7 β= 70° ----- A.4.4 square units B.5.2 square units C.6.8 square units D.8.8 square units
Answer:
A. 4.40 square units
Step-by-step explanation:
The triangle is isosceles with base angles of 70°. The a.pex angle will be ...
180° -2(70°) = 40°
The area of a triangle can be computed from two sides and the angle between them as ...
A = (1/2)ab·sin(γ)
A = (1/2)(3.7)(3.7)sin(40°) ≈ 4.40 . . . square units
1) Which graph shows different numbers of tickets that Elena can sell to raise more than $180?
2) I would like to know who to mark people the brainiest!!! :)
Answer:
It is the top right
Step-by-step explanation:
I got it right
Researchers are experimenting with various techniques
for preventing the accumulation in water of high levels
of nitrogen, which can kill plants and animals.
(A) nitrogen, which can kill plants and animals
(B) nitrogen; plants and animals can be killed
(C) nitrogen, that is what can kill plants and animals
(D) nitrogen, they could kill plants and animals
(E) nitrogen, and they can kill plants and animals
Researchers are experimenting with various techniques for preventing the accumulation in the water of high levels of nitrogen, which can kill plants and animals.
Who are Researchers?A person performing research is known as a researcher, and they may have a formal work title to indicate this. Social scientists or scientists in the natural sciences work as researchers. One needs to have in-depth knowledge of the social science field in which they have chosen to focus in order to be a social researcher or social scientist. Similarly, someone who wants to work as a researcher in the subject of natural science needs to be knowledgeable in that field (Physics, Chemistry, Biology, Astronomy, Zoology and so on).
Other terms that could be used to describe a researcher include researcher (horse), racehorse, researcher (R103), and an American oceanographic research vessel.
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Gas prices are typically marked up for holiday travel. If the prices are marked up 10% and the regular price is $2.45, what will be the price after the mark-up?
If Gas prices are typically marked up for holiday travel. If the prices are marked up 10% and the regular price is $2.45, the price after the mark-up is $2.70.
How to find the price after markup?Frist step is to find the marked-up price using this formula
Markup price = Markup percentage × Regular price
Let plug in the formula
Markup price = 10% × $2.45
Markup price = $0.245
Now let find the price after markup using this formula
Price after markup = Regular price + Markup price
Let plug in the formula
Price after markup = $2.45 + $0.245
Price after markup = $2.695
Price after markup = $2.70 ( Approximately)
Therefore $2.70 is the price after marked-up.
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Which of the following strategies is helpful when solving the following word problem?
There were 52 lbs. of vegetables from four farmers in the area that were to be delivered to the local food bank. If Mr. Greenjeans provided 7 pounds of vegetables, Mr. Cowpatrick provided 12 pounds of vegetables, and Mrs. Chickenroost provided 10 pounds of vegetables, how many pounds of vegetables did Mrs. Turkeyroast provide?
According to the information, it can be inferred that the strategy that will help us solve the problem will be "solve algebraically" (option B).
What is an algebraic operation?An algebraic operation is a term that refers to any type of arithmetic operations such as:
AdditionSubtractionMultiplicationDivisionRaising to a power of a whole numberRoot extractionBased on the above, we can infer that the best strategy to solve the problem about the vegetables that will go to the food bank is an algebraic operation because we can add the amount contributed by Mr. Greenjeans, Mr. Cowpatrick, and Mrs. Chickenroost and then subtract the total number of pounds, to find the amount that Mrs. Turkeyroast contributed as shown below:
29lbs - 52lbs = 23lbs
Note: This question is incomplete because there is some information missing. Here is the complete information:
Question:
Which of the following strategies will help you solve word problems?
a. Draw an illustration
b. Solve algebraically
C. Make a table
d. all of the above
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Would appreciate the help :))
Answer:
blank one: -1 blank two: -15
Step-by-step explanation:
I'm not sure but I think its correct
Solve for x. Round to the nearest tenth, if necessary
Answer:
x = 2.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 26 = 1.2 /x
x tan 26 = 1.2
x = 1.2/ tan 26
x=2.46036
Rounding to the nearest tenth
x = 2.5
if a deli offers 10 fillings, 9 types of bread, and 6 condiments, and each sandwich consists of a filling, a type of bread, and a condiment, how many different sandwiches can the sandwich shop create?
540 and 5760 sandwiches can the sandwich shop create
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 6 possibilities
=540
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 64 possibilities
=5760
sandwich can have any no.of condiments,
let say A,B,C are condiment then possibilities are
A,B,C,AB,BC,AC,ABC , no condiment
i.e, \(2^{6}\) = 64 possibilities.
What do you mean by possibilities?A likelihood that something will or won't occur or exist: the condition or reality of being possible There is a chance of rain today. A potential event or object that might exist It's possible that life exists on other worlds. More about potential from Merriam-Webster.
An example of a probability that you will attend a party is if there is a 50/50 chance that you might do so. The green dress is an example of a potential option you may select from when given the choice between wearing a red dress or a green dress.
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Determine the relationship
A. Parallel because the slopes are the same
B. Perpendicular because the slopes are opposite reciprocals
C. Oblique because the slopes are different
Answer:
Oblique Because the slopes are different
Step-by-step explanation:
Answer:
i belive it oblique . Not sure tho but good luck !!
Step-by-step explanation:
How to solve for x also what is an equation that I could do?
Answer:
x=15
Step-by-step explanation:
5x+17+36=128
5x+53=128
5x=75
x=15
Name the orperation you should perform first. i need help pls and thank you!!
Answer:
For the first one on the left, you need to evaluate the expressions inside the parenthesis. For Question number 6, evaluate the exponent first.
Step-by-step explanation:
Think of PEMDAS, order of operations.
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction