The inequalities that are the constraints for the situation are 12x + 8y ≥ 1000 and x + y ≤ 200 options (B) and (D) are correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.
Total collection = 12x + 8y
12x + 8y ≥ 1000
x + y ≤ 200
Thus, the inequalities that are the constraints for the situation are 12x + 8y ≥ 1000, and x + y ≤ 200 options (B) and (D) are correct.
The missing options are:
12x+8y≤100012x+8y≥1000x+y≥1000x+y≤200x+y≥20012x+8y≤200Learn more about inequality here:
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Which is a source of bias in a survey question?
a multiple-choice question that does not list commonly known options
a question that is so difficult most students will miss it
a question that asks a student to give an example of a concept in the lesson
a question that is so easy all students give the right answer
The source of bias in a survey question is D. a question that is so easy all students give the right answer.
What is a bias?Source bias is the propensity to favor sources of information that corroborate or contradict a certain set of views or values.
When systematic inaccuracy is added to sampling or testing during research, bias emerges. This happens when one outcome or response is preferred over others. Bias can appear at any stage of the research process, including study design, data collection, data analysis, and publication.
It should be noted that when the question is so easy, it ilustrates bias since it was intentional.
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Aschool playground is rectangular and has a length of50 m and
a width of 30 m as shown. A safety eone of uniform width surrounds
the playground. lfthe area ofthe safety zone equals the area ofthe
playground, what is the width of the safety zone, to 2 decimal places?
The most appropriate choice for quadratic equation will be given by
Width of safety zone is 7.84 m
What is equation and Quadratic equation?
A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=) sign is called equation.
A two degree equation is known as quadratic equation.
Let [tex]ax^2+bx +c[/tex] be a quadratic equation (a ≠ 0)
Then
[tex]x = \frac{-b \pm \sqrt{b^2 -4 \times a \times c}}{2\times a}[/tex]
Here,
Let the width of the safety zone be x metre
Length of rectangular park = 50m
Breadth of rectangular park = 30m
Area of rectangular park = [tex]50 \times 30[/tex]
= [tex]1500[/tex] [tex]m^2[/tex]
Length of rectangular park with safety zone = (x + x + 50) m
= (2x + 50) m
Breadth of rectangular park with safety zone = (x + x + 50) m
= (2x + 30) m
Area of rectangular park with safety zone = (2x + 50)(2x + 30) [tex]m^2[/tex]
= [tex]4x^2 +60x + 100x + 1500[/tex]
= [tex](4x^2 + 160x +1500) m^2[/tex]
Area of safety zone = [tex]4x^2 +160x+1500-1500[/tex]
= [tex]4x^2 +160x[/tex]
By the problem,
[tex]4x^2 +160x=1500[/tex]
[tex]4x^2 +160x-1500=0[/tex]
[tex]4(x^2 +40x-375)=0[/tex]
[tex](x^2 +40x-375)=0[/tex]
[tex]x = \frac{-40 \pm \sqrt{40^2 -4 \times 1 \times (-375)}}{2\times 1}[/tex]
[tex]x = \frac{-40 \pm \sqrt{1600 +1500}}{2\times 1}[/tex]
[tex]x = \frac{-40 \pm \sqrt{3100}}{2}[/tex]
[tex]x = \frac{-40 \pm 55.68}{2}[/tex]
[tex]x = \frac{-40 + 55.68}{2}[/tex] or [tex]x = \frac{-40 - 55.68}{2}[/tex]
[tex]x =7.84[/tex] or [tex]x = -47.84[/tex]
[tex]x = -47.84[/tex] is not possible as width cannot be negative
so [tex]x = 7.84[/tex] m
Width of safety zone is 7.84 m
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i am less then 10. i am not a multiple of 2. i am a composite number what am i?
Answer:
9
Composite numbers under 10:
4,6,8, and 9.
The only one of those 4 that is not a multiple of 2 is 9
Step-by-step explanation:
Hope it helps! =D
a + b - 8 = p solve for a
Answer:
a = −b + p + 8
Step-by-step explanation:
a + b - 8 = p solve for a
a + b - 8 = p
subtract b from both sides:
a + b - 8 - b = p - b
a - 8 = p - b
add 8 to both sides:
a - 8 + 8 = p - b + 8
a = p - b + 8
rearrange for alphabetical order:
a = −b + p + 8
Answer:
a = p + 8 - b
Step-by-step explanation:
Step 1: Add 8 both sides
[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]
Step 2: Subtract b both sides
[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]
Note: You can also subtract b both sides first then add 8 both sides.
Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].
Please let me know if you have any questions!
Jose made this table to show the relationship between his age and his cousin Mario's age.
Jose wants an equation he can use to find his own age (j) given Mario's age (m).
Complete Jose's equation:
y=_____
Thanks so much have a good day!
The equation that can be used to determine Jose's age given Mario's age is j = [tex]3\frac{1}{3}[/tex]m
What is the equation?Th relationship between Jose's age and Mario's age can be modelled as a linear equation. A linear equation is an equation that when graphed is a straight line. The straight line can either slope upward or downward.
A linear equation is an equation that increases at a constant rate. It has a single variable that is raised to the power of one.
Looking at the table, there is a proportional relationship between Jose's age and Mario's age.
A proportional relationship has this form: j = bm
Where:
j = Jose's age m = Mario's age b = constant of proportionality10 = b3
b = 10 / 3
b = 3 1/3
j = [tex]3\frac{1}{3}[/tex]m
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Answer:
j=m+7
Step-by-step explanation:
write the equation of a line that passes through the point (2,-1) and has a slope of -3
Finding the equation using slope-intercept form.
[tex]y=-3x+7[/tex]
OR
Finding the equation using point-slope form.
[tex]y-1=-3[/tex] × [tex](x-2)[/tex]
Hope this helps!
Select all of the TRUE statements
A.
Dilations of a triangle are congruent to the original triangle.
B.
Dilations always increase the length of line segments.
C.
Dilations of a triangle are similar to the original triangle.
D.
Dilations of perpendicular lines remain perpendicular lines.
E.
Dilations increase the measure of angles.
F.
Dilations of an angle are congruent to the original angle.
The statements which are true include the following:
C. Dilations of a triangle are similar to the original triangle.
D. Dilations of perpendicular lines remain perpendicular lines.
F. Dilations of an angle are congruent to the original angle.
The types of transformation.In Geometry, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is dilation?Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
In this context, we can reasonably infer and logically deduce that a dilation of perpendicular lines would always remain perpendicular lines because it takes each of the line to another perpendicular line.
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In the graph of An inequality, the area above a solid line through the point (-5,2) and (3,2) is shaded. Which inequality does this graph represent?
The inequality shown by this graph is y ≥ 2.
Describe inequality.the relationship between two non-equal expressions using a symbol like "not equal to," ≠ "greater than >," or "less than < "
The inequality sign : ≥ or ≤ to use is: or because the line is solid and not dotted.
Given that the points have y-coordinate values of 2, (-5, 2), and (3, 2), respectively, and that the line crosses the y-axis at this point, the proper inequality is:
y ≥ 2
Therefore, y ≥ 2 is the inequality.
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7u + 17 - 12u = -38 solve for u and simplify your answer as much as possible
Answer:
u=11
Step-by-step explanation:
7u-12u+17=-38-combine like terms
-5u=-38-17
-5u=-55
-u=-11
which means u=11
Answer:
u = 11
Step-by-step explanation:
7u + 17 - 12u = - 38 , that is
- 5u + 17 = - 38 ( subtract 17 from both sides )
- 5u = - 55 ( divide both sides by - 5 )
u = 11
Kamryn’s doctor recommended that she drink 64 fluid ounces of water every day. There are about 30 milliliters in 1 fluid ounce. Which measurement represents the number of milliliters in 64 fluid ounces?
help please
64 fluid ounces is equivalent to 1920 milliliters in measurement.
What is Unit conversion?Conversion of units means to convert between different units of measurement for the same quantity. Their are many different units that can be used to represent the same quantity. Some examples of units are m, cm, litre etc.
Given is Kamryn’s whose doctor recommended that she drink 64 fluid ounces of water every day and are about 30 milliliters in 1 fluid ounce.
A fluid ounce is a unit of capacity equal to one twentieth of a pint (approximately 0.028 litre)
In one fluid ounces → 30 milliliters.
Then, in 64 fluid ounces there will be → 64 x 30 = 1920 milliliters.
Therefore, 64 fluid ounces is equivalent to 1920 milliliters in measurement.
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customers arrive at a checkout counter in a department store according to a poisson distribution at an average of seven per hour. what are the probabilities that
From the information given in the Poisson Distribution, the probability that that no more than three customers arrive that is P (X≤3) = 0.0817.
What is a Poisson Distribution?
The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.
What Are the Poisson Distribution's Assumptions?
To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.
What is the justification for the above result?
According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7
Probability (P) that no more than three customers arrive is notated as P(X≤3)
= P(X=0) + P(X=1) + P(X=2) + P(X=3)
= Poisson (3,7,1)
= 0.0817
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veronica went on three hikes. on each hike, she saw the following numbers of animals: hike length of hike (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis number of animals seen rivers edge 333 888 wooded marsh 888 242424 canyon creek 151515 353535 veronica tried to order the hikes from least to greatest by number of animals seen per kilometer, but she made a mistake. here's her work: \stackrel{\text{least}}{\underbrace{8} \text{river's edge}} < \underbrace{24} \text{wooded marsh} < \stackrel{\text{greatest}}{\underbrace{35} \text{canyon creek}} river’s edge 8 least < wooded marsh 24 < canyon creek 35 greatest start underbrace, 8, end underbrace, start subscript, start text, r, i, v, e, r, ', s, space, e, d, g, e, end text, end subscript, start superscript, start text, l, e, a, s, t, end text, end superscript, is less than, start underbrace, 24, end underbrace, start subscript, start text, w, o, o, d, e, d, space, m, a, r, s, h, end text, end subscript, is less than, start underbrace, 35, end underbrace, start subscript, start text, c, a, n, y, o, n, space, c, r, e, e, k, end text, end subscript, start superscript, start text, g, r, e, a, t, e, s, t, end text, end superscript what was veronica's mistake? choose 1 answer: choose 1 answer: (choice a) a veronica ordered from greatest to least instead of least to greatest. (choice b) b veronica ordered by number of animals instead of by animals per kilometer. (choice c) c veronica calculated kilometers per animal instead of animals per kilometer. show calculator
The most appropriate choice for distance will be given by
Veronica has not calculate the number of animals seen per kilometer, she has arranged only on the basis of animals seen.
What is distance?
Distance is how much ground travelled by an object during its motion.
Here,
For River Edge
Number of animals seen = 8
Length of hike = 3 km
Number of Animals seen per km = 8/3
=2.66
For Wooden Marsh
Number of animals seen = 24
Length of hike = 8 km
Number of Animals seen per km = 24/8
=3
For Canyon Creek
Number of animals seen = 35
Length of hike = 15 km
Number of Animals seen per km = 35/15
=2.33
So from least to greatest it will be
Canyon Creek, River Edge, Marshy Land
Veronica has not calculate the number of animals seen per kilometer, she has arranged only on the basis of animals seen. That was her mistake.
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Answer:
B
Step-by-step explanation:
The equation and graph show the cost to rent movies from two different companies. The cost is a function of the number of movies rented. Which description best compares the two functions? Company 1 Company 2 11 m = movies, d= dollars d=3m + 5 There is a higher rate of change at Company 1. It costs more to rent movies from Company 2. There is a higher rate of change at Company 2. Company 1 adds a higher initial fee to the rental cost.
The equation is d = 3m + 5
What is an equation?
An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Solving an equation with variables entails finding which variables' values make the equality true. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that fulfill the equality are known as equation solutions. Identity equations and conditional equations are the two types of equations.
The cost function is given by the equation d = 3m + 5
where, d = dollars, m = movies
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Devaugh is 14 years older than Sydney. The sum of there she’s is 98 what is Sydney’s age
Answer:26
Step-by-step explanation:
Beth owns a coffee shop. She uses half a litre of mayonnaise each day. Mayonnaise costs £2.35 for a 1 litre jar and £4.65 for a 2 litre jar. Beth buys enough mayonnaise to last for 14 days. What is the lowest price Beth can buy this mayonnaise for? Show your working.
Answer:
£16.30
Step-by-step explanation:
0.5*14=7 litres for 2 weeks
The total cost to buy 7 litres = 7 × 2.35 = 16.45
The cost of 7 litres with the 1 litre jars is £16.45
The total cost to buy 7 litres = (4.65 × 3) + 2.35 = 16.30
The cost of 7 litres with the 2 and 1 litre jars is £16.30
16.45-16.30=15p
The lowest price Beth can buy this mayonnaise for £16.30.
What are arithmetic operations?The study of numbers and their operations, which are crucial to all other fields of mathematics, is included in the field of arithmetic operations. Addition, subtraction, multiplication, and division are the four basic operations of these systems.
It is given that, A coffee business is owned by Beth. Every day, she consumes half a litre of mayonnaise. A 1-litre jar of mayonnaise costs £2.35, and a 2-litre container costs £4.65. Beth purchases 14 days' worth of mayonnaise.
We have to find the cheapest price Beth can get this mayo for,
0.5*14=7 litres for 2 weeks
The total cost to buy 7 litres is,
= 7 × 2.35
= 16.45
The cost of 7 litres with the 1-litre jars is £16.45
The total cost to buy 7 litres is,
= (4.65 × 3) + 2.35
= 16.30
Thus, the cheapest price Beth can buy this mayonnaise for £16.30.
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3. In your own words, describe what is
happening in lines 9-14 of the poem "the sea
view"
5. How does the shift in mood after line 8 affect
the reader what is your reaction to this poem?
Please Refer to the poem
"The sea view"
Answer:
Talks about man's brutality
Step-by-step explanation:
It says man spoils Heaven's glorious works with blood, meaning that Earth was perhaps a gift for humans which we ourselves have ruines by engaging in brutal and barbaric acts of war and murder.
The reader is almost instantly brought into reality. The reader is made to feel like the first half of the poem was an illusion and the second half was the real reality. The sudden drop from a heaven-like and fantastical description to a dark and hellish world, makes teh reader uncomftable and almost as if realisation hits the reader and causes them to feel guilty and almost at unease of their own presence
an amusement park sells child and adult tickets at a ratio of 8:1. on saturday they sold 147 more child tickets than adult tickets. how many tickets did the amusment park sell on saturday?
If someone were to answer all the questions that would be appreciated im confused with this!
Answer:
Choice A I think, i'm not really sure!
Prove that the measures of the exterior angles of a triangle have a sum of 360°.
Given: <1, <2, and <3 are exterior angles.
Prove: m<1 +m<+m<3 = 360
Sum of Exterior Angles of Triangle is 360°.
Define Exterior Angle
The angle between any side of a shape and a line that extends from the next side is known as the exterior angle.
Let's Prove: ∠1 + ∠2 + ∠3 = 360°
The angle that is created between one of a triangle's sides and its adjacent extended side is known as the external angle. A triangle has three external angles. Let's learn about the equation for adding a triangle's exterior angles.
From the figure, we can observe that ∠1, ∠2, and ∠3 are the exterior angles of triangle ABC. We know that the sum of all the exterior angles of any polygon is equal to 360°.
Thus, sum of all the exterior angles of a triangle = 360°
Therefore, In triangle ABC the sum of exterior angles,
∠1 + ∠2 + ∠3 = 360°
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What am I supposed to do here?
In linear equation, solar system is 0.002 * 10³⁰ more than sun.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that includes just one variable. It has the expression Ax + B = 0, with A and B being any two actual figures and x being an uncertain variable with only one possible value. Such a linear equation in one variable is 9x + 78 = 18.Mass of solar = 1.991 * 10³⁰
Mass of sun = 1.989 * 10³⁰
= 1.991 * 10³⁰ - 1.989 * 10³⁰
= 10³⁰ ( 1.991 - 1.989 )
= 0.002 * 10³⁰
solar system 0.002 * 10³⁰ is more than sun.
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1.2x10^8 x 4.0x10^3
Scientific Notation
Answer:
4.8x10^11
480000000000
Step-by-step explanation:
determine whether each of the following sequences converges or diverges, and justify your answer. if convergent, find the limit of the sequence. (a) cm
The sequence {(-0.3)ⁿ} converges by oscillation as n increases magnitude of function decreases so it converges
C. The sequence converges by oscillation. It converges to 0.
Here as n increases magnitude of function decreases so it converges.
But at any two consecutive integers function sign changes and it oscillates. Thus it is not monotonic,
the complete question is
Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges.
{(-0.3)ⁿ}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The sequence diverges monotonically.
B. The sequence converges monotonically. It converges to ____.
C. The sequence converges by oscillation. It converges to ____.
D. The sequence diverges by oscillation.
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Which of the following represents the inequality 6x -2 ≥
≥
10
Answer:
Option 2
Step-by-step explanation:
[tex]6x-2 \geq 10 \\ \\ 6x \geq 12 \\ \\ x \geq 2[/tex]
So, we want a graph with a closed circle at 2 with the arrow pointing to the right.
Answer:
2nd choice
Step-by-step explanation:
6x - 2 ≥ 10
add 2 to both sides
6x - 2 + 2 ≥ 10 + 2
6x ≥ 12
divided b0th sides by 6 to get x alone
6x/6 ≥ 12/6
x ≥ 2
x is greater than or equal to 2
equal to 2 is shown by a shaded in circle (cannot be option 3 or 4)
x is bigger than 2 so the arrow is to the right
The points (3,9) and (2,6) fall on a particular line. What is its equation in slope-intercept form
Answer:
Equation of a line given two points:
Line equation: y = 3x
Slope = 3
Intercept = 0
Answer:
2 quinoa because it will comit 4 plus6
15. Determine the sum of the measures of the interior angles of this seven-sided polygon.
Show your calculation.
Answer:
900⁰
Step-by-step explanation:
Use the formula:
(n-2)×180 =sum of interior angles.
n= number of sides
(7-2) × 180= 5×180= 900⁰
given the f(X)=2x+3/x-1 and g(X)=3x+1
a.)evaluate
i.)fg(-1)
Evaluation of fog(-1) = 1/3
Given,
f(X)=2x+3/x-1
g(X)=3x+1
a) Evaluate:
(f o g)(x) = f(g(x))
= 2(g(x)) + 3/(g(x)) - 1
= 2(3x + 1) + 3/(3x + 1) - 1
= 6x+2+3/3x+1-1
(f o g)(x) = 6x+5/3x
i) fog(-1) = 6(-1)+5/3(-1)
= -6+5/-3
= -1/-3
fog(-1) = 1/3
Hence, a.)evaluate: (f o g)(x) = 6x+5/3x
i.)fg(-1): fog(-1) = 1/3
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Please help
It’s due tonight
Answer:
it -8 2÷-14=-7 x=-7
-7+-1=-8
Is the graph of f(x) = (4/5)^(x) Increasing or Decreasing?
The graph of the function f(x) = (4/5)^(x) is decreasing.
We are given a graph.The graph shows the function f(x).The function f(x) equals (4/5)^(x).We need to check whether the given function f(x) is increasing or decreasing.f(x) = (4/5)^(x)f(x) = (0.8)^(x)We can see that 0.8 lies between 0 and 1.We know that if a number lies between 0 and 1, it becomes more and more small as it is raised to a higher power.Even from the given graph, we can see that the function is always decreasing as we go from left to right.The function f(x) is an exponentially decreasing function.To learn more about functions, visit :
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Draw a number line showing the whole numbers 16 through 19 and divisions between whole numbers in thirds.
Note: This is class 6 maths so please do it in class 6 way and not in the high school way. I need this answer as soon as possible.
I have attached the image.
Which numbers are rational?
The result is -
Rational number: 5/4, -8, 2.35 bar, 19/7, 8, 0Irrational number: πWhat is meant by Rational number?Rational are numbers which can be written with in form p/q, in which q and p are integers and q≠0. is a negative number.
The distinction among rational numbers as well as fractions is that fractions cannot include a negative denominator or numerator. As a result, the numerator and denominator of the a fraction are all numbers (denominator 0), whereas the numerator and denominator of rational numbers are integers.A rational number, p/q, is considered to be in standard form if its numerator and denominator (p and q) share no common divisor (or factor) other than 1 and its denominator "q" is positive.For the given number-
π, 5/4, -8, 2.35 bar, 19/7, 8, 0
All numbers except π are rational as they are either ending number or have the bar which means they will repeat after some point.
π is the only number which have the value 3.14........and so o such that, it is nether terminating nor repeating.
Thus, π is the irrational number.
Therefore, rational numbers are- [5/4, -8, 2.35 bar, 19/7, 8, 0]
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