The minimum revenue by selling tickets will be $363 thus there will be no solution.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Suppose x is the number of hot dogs sold and y is the number of hamburgers sold.
As per the given,
hot dog for 6$ and a hamburger for 8$
6x + 8y = total cost
6x + 8y = 1106
Total x + y = 106
By substitution,
6(106 - y) + 8y = 1106
636 - 6y + 8y = 1106
2y = 470
y = 235
And, x = -129
Since the number cannot be negative thus it will be an incorrect question.
Hence "There won't be a solution because the minimum revenue from ticket sales will be $363.".
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a six-sided die (with numbers 1 through 6) and an eight-sided die (with numbers 1 through 8) are rolled. what is the probability that exactly one 6 is rolled? express your answer as a common fraction.
When a six-sided die and an eight-sided are rolled then the probability that exactly one 6 is rolled is 1/4.
Given, a six-sided die (with numbers 1 through 6) and an eight-sided die (with numbers 1 through 8) are rolled.
we have to find the probability that exactly one 6 is rolled.
First we have to check the total number of outcomes on rolling both the dices.
Now, the total number of outcomes be, 48
As, we the favorable outcomes be, the outcome with exactly one 6 on the dices.
Favorable Outcomes = { (1,6) , (2,6) , (3,6) , (4,6) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,7) , (6,8)}
The total number of favorable outcomes be, 12
So, the probability that exactly one 6 is rolled is
P(E) = Number of favorable outcomes / Total number of outcomes
P(E) = 12/48
P(E) = 1/4
Hence, the probability that exactly one 6 is rolled is 1/4.
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need help asap please!
Answer:
[tex]\textsf{$f(1) = \boxed{1}$ , meaning when a $\boxed{1}$ is rolled on the die, the player is awarded}\\\\ \textsf{ $\boxed{1}$ point. This interpretation $\boxed{\sf makes \; sense}$ in the context of the problem.}[/tex]
[tex]\textsf{$f(4.5) = \boxed{8}$ , meaning when a $\boxed{4.5}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{8}$ points. This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}[/tex]
[tex]\textsf{$f(10) = \boxed{19}$ , meaning when a $\boxed{10}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{19}$ points. This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}[/tex]
[tex]\textsf{Based on the observations above, it is clear that an appropriate domain for the}\\\\ \textsf{function is $\boxed{ \{1, 2, 3, 4, 5, 6\}}$ .}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=2x-1[/tex]
where:
x is the value rolled on the six-sided die.The sides of the die are labelled 1 to 6.----------------------------------------------------------------------------------------------------
f(1) means the value of the function when x = 1.
Therefore, substitute x = 1 into the given function to find f(1):
[tex]\begin{aligned}x=1 \implies f(1)&=2(1)-1\\&=2-1\\&=1\end{aligned}[/tex]
[tex]\textsf{$f(1) = \boxed{1}$ , meaning when a $\boxed{1}$ is rolled on the die, the player is awarded}\\\\ \textsf{ $\boxed{1}$ point. This interpretation $\boxed{\sf makes \; sense}$ in the context of the problem.}[/tex]
----------------------------------------------------------------------------------------------------
f(4.5) means the value of the function when x = 4.5.
Therefore, substitute x = 4.5 into the given function to find f(4.5):
[tex]\begin{aligned}x=4.5 \implies f(4.5)&=2(4.5)-1\\&=9-1\\&=8\end{aligned}[/tex]
As the faces of the six-sided die are labelled 1 to 6, the only values of x that make sense are 1, 2, 3, 4, 5 and 6. Therefore, rolling a "4.5" does not make sense.
[tex]\textsf{$f(4.5) = \boxed{8}$ , meaning when a $\boxed{4.5}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{8}$ points. This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}[/tex]
----------------------------------------------------------------------------------------------------
f(10) means the value of the function when x = 10.
Therefore, substitute x = 10 into the given function to find f(10):
[tex]\begin{aligned}x=10 \implies f(1)&=2(10)-1\\&=20-1\\&=19\end{aligned}[/tex]
As the faces of the six-sided die are labelled 1 to 6, the only values of x that make sense are 1, 2, 3, 4, 5 and 6. Therefore, rolling a "10" does not make sense.
[tex]\textsf{$f(10) = \boxed{19}$ , meaning when a $\boxed{10}$ is rolled on the die, the player is awarded} \\\\ \textsf{ $\boxed{19}$ points. This interpretation $\boxed{\sf does \; not \; make \; sense}$ in the context of the problem.}[/tex]
----------------------------------------------------------------------------------------------------
The domain of a function is the set of all possible x-values.
As the faces of the six-sided die are labelled 1 to 6, the only possible values of x are 1, 2, 3, 4, 5 and 6.
[tex]\textsf{Based on the observations above, it is clear that an appropriate domain for the}\\\\ \textsf{function is $\boxed{ \{1, 2, 3, 4, 5, 6\}}$ .}[/tex]
The domain can also be written as:
[tex]\{x \in \mathbb{N} \; | \; 1 \leq x \leq 6 \}[/tex]
or [tex]\{x \in \mathbb{Z} \; | \; 1 \leq x \leq 6 \}[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
23°
(4x+19)
Answer:
x=12degrees
Step-by-step explanation:
1st Angle=23degrees
2nd Angle=(4x+19)
3rd Angle=(In order to find this angle we need to take this angle as angle3)
angle3+90=180
angle3=180-90
angle3=90degrees
Now lets start with the sum
Sum of angles of a triangle=180degrees
23+(4x+19)+90=180
113+(4x+19)=180
(4x+19)=180-113
(4x+19)=67
4x=67-19
4x=48
x=48/4
x=12degrees
Hope this helps you
How do you find the value of a table?
A table of values is a collection of ordered pairs that is often produced by replacing numbers in an equation (relation).
Given,
Table of value;
When numbers are substituted into an equation, they typically produce a set of ordered pairs called a table of values (relation). Each ordered pair of numbers in the values table's table of values is related to one another according to the equation.
The relationship between the various data points is displayed using tables of values. In scientific lesson, a table of values could be used. Tables of values are used by scientists and researchers to record their data, which is subsequently examined for patterns. Then, they can utilize this pattern to forecast outcomes.
Therefore,
The process of substituting numbers in an equation results in the creation of a table of values, which is a collection of ordered pairs (relation).
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Find the roots and the vertex of the quadratic on a calculator. Round all values to 3 decimal places (if necessary).
y = 3xsquared - 18x - 263
Please answer quickly I’ll mark you brainlist
The vertex of the equation is (3, -290). Then the solutions of the equation will be 99.67 and -93.67.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = 3x² - 18x - 263
Convert the equation into vertex form, then we have
y = 3x² - 18x - 263
y = (√3x)² - 2 · √3x · 3√3 + 27 - 27 - 263
y = 3(x - 3)² - 290
Then the solution of the equation will be given as,
3(x - 3)² - 290 = 0
3(x - 3)² = 290
x - 3 = ± 96.67
x = 3 ± 96.67
x = 3 + 96.67, 3 - 96.67
x = 99.67, -93.67
The vertex of the equation is (3, -290). Then the solutions of the equation will be 99.67 and -93.67.
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how many ways are there to select five players from a 10-member tennis team to make a trip to a match at another school?
The combination selecting five players from a 10-member tennis team to make a trip to a match at another school = 252
What do you mean by permutations and combinations?
A permutation is an act of arranging objects or numbers in order.
Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
given that
selecting five players from a 10-member tennis team to make a trip to a match at another school
we solve this by using combinations
=10[tex]C_{5}[/tex]
= [tex]\frac{10!}{5!(10-5)!}[/tex]
=[tex]\frac{3628800}{120*5!}[/tex]
=252
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In right traingle lmn, l and m are complementary angles and sin(l) is . what is cos(m)?
The cos(m) In the right triangle lmn is 19/20.
Complementary angles are formed when the total of two angles equals 90 degrees. 30 degrees and 60 degrees, for example, are complementary angles.
We have L + M = 90 because the angles L and M are complimentary.
Assuming that,
sin L = sin (90 - L) = sin M
sin (L) = 19/20.
As we know from our rule, the sine of angle L is equal to the cosine of L's complement, which is M.
This implies that the cosine of M is 19/20.
As a result, cos(M) equals 19/20.
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A nack bar ell 2 ize of nack pack. A large nack pack i $5 and a mall pack i $3. In one day the nack bar old 60 nack pack for a total of 220. How many mall mack pack did the nack bar ell
The supplied statement states that there are 20 large snacks and 40 little snacks.
In arithmetic, what are mixtures?When two separate answers to a problem are combined, a new, complete solution is produced. Setting up a table will facilitate resolving these issues.
What are combinations and mixtures?Alignment allows us to determine the ratio in which the ingredients/items have been combined and at what price they are offered to generate profit or face loss. A mixture, as the name implies, is combining two or more things together.
Briefing:
Total number of snacks = 60
Total earnings = $220
If only tiny snacks are sold, the total cost would be $180 (60 x 3).
Earnings difference = 220 - 180 = $40
$5 - $3 = $2 is the difference in the cost of the snack.
Number of Large snacks = $40 ÷ 2 = 20
Small snack count is 60 - 20 = 40.
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Barb was going to buy a shirt which was originally priced for $20. There was a price tag on the shirt that said $12. What percentage was the shirt marked down?
A. 40%
B. 60%
C. 1.33%
D. 1.67%
Answer:
60%
Step-by-step explanation:
The problem is basically saying:
12 is what percent of 20, which we can make this into a solvable equation:
12 is what percent of 20
12 = ?% x 20
Now to solve by dividing 12 by 20
12/20 = 0.6
Multiply 0.6 by 100 to get 60%
Nama
2
A store currently has a sale where all televisions are being sold with a discount of 30% of
addition, you have a coupon for $100 off any television. The store will allow you to use both EV
30% off discount and the $100 off coupon on your purchase.
Answer:
It sounds like the store is offering a sale on televisions where you can get a 30% discount on the original price of the television, as well as an additional $100 off with a coupon. This means that you can use both the discount and the coupon to save money on your purchase of a television. If you have a coupon for $100 off, you can use it to save an additional $100 on top of the discount you receive from the sale. This can help you save even more money on your purchase. It's always a good idea to check for sales and coupons when shopping for big-ticket items like TVs, as it can help you save a significant amount of money.
how many different three-letter words (including nonsense words) are there in which successive letters are different?
16250 many different three-letter words—including nonsense words—have different letters in the next position.
Given that,
We have to find how many different three-letter words—including nonsense words—have different letters in the next position.
We know that,
The number of alphabets are 26
First letter has 26 choices.
Second letter can not be same has first letter so 25 choices.
Third letter can not be same has second letter so 25 choices.
So,
Total words = 26×25×25=16250
Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.
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What is the length of the radius of a circle given the equation x² y² 8?
The length of the radius of a circle with the equation x² + y² = 8 is 2√2 units .
In the question ,
it is given that ,
the equation of the circle is ⇒ x² + y² = 8 ,
we know that the general equation of the circle is given as x² + y² = b² ;
and "b" is the radius of circle ,
On comparing both the equations ,
we get ,
b² = 8
Simplifying the above equation further ,
we get ,
b = √8 = √2 × 2 × 2
the radius "b" is
b = 2√2 units .
Therefore , the length of the radius of the circle is 2√2 units .
The given question is incomplete , the complete question is
What is the length of the radius of a circle given the equation x² + y² = 8 ?
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please help before i cry
Answer:
Don't overthink it.
[tex]V=\frac{1}{3} Ah[/tex] is the same as [tex]V=\frac{Ah}{3}[/tex]
Multiply both sides by 3
3V = A * h
Then get A by itself by dividing both sides by h.
[tex]A = \frac{3V}{h}[/tex]
Answer:
I think it's A= lw
Step-by-step explanation:
The question says to rearrange the formula to highlight the base area, and the formula to finding the base area of a pyramid is A = l w (length multiplied by width)
work out volume of prism 10cm 4cm 5cm 8cm 12cm
Answer:
19,200
Step-by-step explanation:
multiply them all together
julio invests 5360 in a retirement account with a fixed annual interest rate of 4% compounded 4 times per year. What will the account balance be after 17 years?
Answer:
To find the account balance after 17 years, we need to first calculate the annual interest rate. Since the interest is compounded 4 times per year, the effective annual interest rate is equal to (1 + 0.04/4)^4 - 1, which is about 4.169%.
To find the account balance after 17 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. Plugging in the values we know, we get:
A = 5360(1 + 0.04169/4)^(4*17)
A = $9,907.35
So the account balance after 17 years will be about $9,907.35.
Priya can type 575 words in 25 minutes. She starts typing a report at 1035 hours and finishes at 1128 hours. Assuming she types non-stop at her usual rate and does not make any mistakes, find the number of words in the report.
Answer:
128,340 words
Step-by-step explanation:
find how many hours he typed by subtracting 1035 from 1128. 1128-1035=93hoursthen turn the hours into minutes. 93*60=5,580minutesnext find out how many sets of 575 words she typed by dividing 5,580 by 25. 5,580/25=223.2then finally multiply 223.2 by 575 to get your answer of 128,340. 223.2*575=128,340words13. 6x + 2y = 14
please help
Help please im not the smartest kid
Answer:
No, it's doesn't mean you are not smart. Just maybe you need to focus on learning most of the things to solve in math, you need to start with what is given to you.
Here given to you that every scale of 2 in = 8ft in actual truck.
So in order to know what 6in equals. Break down 6 into something you can use which is 2in = 8ft
6 = 2 + 2 + 2
So 6in = 8ft + 8ft + 8ft
Which can be simplified to 6ft = 24 ft.
Answer:
24
Step-by-step explanation:
8 divided by 2 is 4 and 4 times 6 equals 24. Or you could do 6 divided by 2 equals 3 and 8 times 3 equals 24.
how many ways are there to make an r-arrangement of pennies, nickels, dimes, and quarters with at least one penny and an odd number of quarters? (coins of the same denomination are identical).
There are 26¹⁰ - 4 × (25)¹⁰ + 2 × (24)¹⁰ + 22¹⁰ exponential generating Function to make an arrangement of Pennies, nickels, dimes and quarters with at least one penny and an odd number of quarters.
Exponential generating Function:
An exponential generator provides a way to encode a sequence as the coefficients of a power series. This encoding helps in many ways.
Therefore, According to the Question:
The exponential generating function is,
G(x) = (x¹/1! + x²/2! + ...)(x¹/1! + x³/3! + x⁵/5! +...)(x°/0! + x¹/1! + x²/2! + ...)²
where the first factor describes the pennies, the second describes the quarters, and the last describes nickels and dimes.
We want the coefficient of Xˣ /r!.
Using exponential identities we get,
G(x) = [tex]e^{x} - 1 (\frac{e^{x} - e^{-x} }{2} ) (e^{x} )^2[/tex]
= [tex]\frac{1}{2} (e^{4x} -e^{2x} -e^{3x} + e^{x}[/tex]
and the coefficient is
[tex]\frac{1}{2} (4^r -2^r -3^r +1)[/tex]
The generating function is
G(x) = (x¹/1! + x²/2! + ...)⁴(x°/0! + x¹/1! + x²/2!+...)²² = ()⁴,
and we again want the coefficient of X¹⁰/10!.
Multiplying we get,
G(x) = [tex](e^{4x} - 4e^{3x} + 2e^{2x} + 1)e^{22x}[/tex]
= [tex]e^{26x} - 4e^{25x} + 2e^{24x} +e^{22x}[/tex]
so the coefficient of X¹⁰/10! is
26¹⁰ - 4 × (25)¹⁰ + 2 × (24)¹⁰ + 22¹⁰
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Solve the following system of equations. Show your work.
−2x+5y=−2
4x−10y=4
Solution:
Equations −2x+5y=−2 and 4x−10y=4 have no solution.
Define no solution.An inconsistent system is a set of equations that cannot be solved. Although a system of linear equations typically has a single solution, it occasionally may have infinite or no solutions (parallel lines) (same line). The solution set refers to all possible answers to an equation or inequality. The no solution symbol,, is used to indicate that there is no solution to an equation or inequality. None Found: There are no solutions when the lines that make up a system are parallel because the two lines have no points in common.
Given,
Equations,
−2x+5y=−2 .. Equation 1
4x−10y=4 .. Equation 2
Multiplying equation 1 by 2
-4x + 10y = -4
4x - 10 y = 4
-----------------
0
Equations −2x+5y=−2 and 4x−10y=4 have no solution.
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y(6.23x-4.81)-3.19y???
Answer:
6.23yx-8y
Step-by-step explanation:
simplified answer!
a drawer contains ten socks with one pair of each of the following colors: brown, black, blue, green, and white. how many socks must be removed from the drawer to guarantee that at least two socks of the same color have been removed?
6 socks must be removed from the drawer to guarantee that at least two socks of same color have been removed.
Given,
It makes no difference how many socks there are; what matters is how many different colours of socks there are, as there are five different colours.
So, if 6 socks are taken from the drawer, it is almost certain that at least two of them will be the same colour.
Because, after taking 5 socks, you will either have a match or a difference. To ensure a matching pair, add one more sock.
You have a pair if the first five are the same colour. If none of the first five socks match, the sixth sock will match one of the first five.
So with 6 socks, you are guaranteed that at least 2 of them will be the same color.
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For what values of x is the expression below defined?
√x+5+√1-x
A. -5
OB. 5> x≤-1
C. 5>x>1
D. 5≤x≤1
Answer:
The expression √x+5+√1-x is defined for all values of x such that the value under the square root sign is non-negative. We can find the values of x that satisfy this condition by considering each of the square roots separately.
For the first square root, the value under the square root must be non-negative, so we have the following inequality:
x + 5 ≥ 0
x ≥ -5
For the second square root, the value under the square root must be non-negative, so we have the following inequality:
1 - x ≥ 0
x ≤ 1
Therefore, the expression is defined for all values of x that satisfy both of these inequalities. This means that the expression is defined for values of x in the range -5 ≤ x ≤ 1. The correct answer is therefore option D.
What is 100-293?
I WILL GIVE BRAINLIEST
Answer: the answer is -193
What is the slope of the line that passes through the points (−4,−6) and (1,−6)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
The [tex]y[/tex] coordinates are the same, meaning the line is horizontal. Thus, the slope is 0.
Given right triangle def, what is the value of sin(e)? three-fifths three-fourths four-fifths four-thirds
The value of sin(e) in the given right angle triangle DEF is 3/5
Given the Right angle DEF,
It is not specified whether angle D= angle F =90°.
Based on the alternatives presented, either base and altitude =3 or 4 and
5 is the hypotenuse.
Case 1. When ∠D=90° In Δ E D F
Sin (E) =altitude/hypotenuse
= 3/5 OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]
Case 2. When ∠F=90°, In ΔEFD
Sin (E) =altitude/hypotenuse
= 3/5 or 4/5 [Depending on whether Base =3 then altitude =4, OR Altitude =3 , then Base =4]
Looking at all of the possibilities, 3/5 and 4/5 are accurate.
However, the solution is 3/5, so whether you pick angle D or angle F as 90°, take Altitude=3, Hypotenuse =5, and Base=4.
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Answer:
A. 3/5
Step-by-step explanation:
For right triangle, c^2 = a^2 + b^2
given c = EF = 10, a = DE = 8, b = DF
10^2 = 8^2 + DF^2
DF^2 = 100 - 64 = 36
DF = 6
sin(E) = opposite/hypotenuse = 6/10 = 3/5
Write an equation for the line that passes through the given point and is
parallel to the graph of the given equation.
3x + 4y = 12; (−4, 7)
I forgot how to do this. :|
Answer:
3x + 4y = 16
Step-by-step explanation:
3x + 4y = 12
3(-4) + 4(7) = -12 + 28 = 16
Answer: 3x + 4y = 16
A container has 2 cups of milk in it. How many cups of milk are in the container
Answer:
2 cups
Step-by-step explanation:
there should be two cups of milk in it. If I’m not correct I will redo this.
A certain fossil of a beetle contains 15% as much carbon as a living beetle. The age of the fossil can be found using carbon dating.
Calculate the age of this fossil given that the half life of carbon-14 is 5715 years.
Answer:
Hope this helps you!
Step-by-step explanation:
The age of this fossil can be calculated using the following formula:
Age = (5715 years) * ln(1/0.15) / ln(2)
Age = 81,922 years
which racing organization saw its television ratings increase 28% over 2021 to a season average of 1.2 million viewers?
Answer:
Formula 1 Racing
Step-by-step explanation: