Answers
The constant of proportionality is 1/7
What is constant of proportionality?The ratio between two proportional quantities' constant values is known as the constant of proportionality. When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same pace. Example: y x represents the cost per item(y), which is directly proportional to the number of items(x) purchased.Inverse Variation: The indirect proportionality equation, y = k/x, demonstrates that when y rises, x falls, and vice versa. As shown by the formula y 1/x, the speed of a moving object (y) inversely varies with the amount of time (x) needed to travel a distance.K is constant in both circumstances. The coefficient of proportionality is the name given to this constant's value. The unit rate is another name for the proportionality constant.To learn more about constant of proportionality, refer to https://brainly.com/question/26171814
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Related Questions
a dart board is a regular octagon divided into regions as shown. suppose that a dart thrown at the board is equally likely to land anywhere on the board. what is the probability that the dart lands within the center square?
Answers
The probability that the dart lands in centre is = √2-1.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-,
Let the side of octagon be rexterior angle of octagon = 360/8 = 45So interior angle = 180 -45 = 135So all the triangles will have 45-90-45 combinationsc sides of triangles = r/2√r/2 Calculate the total area of octagon and the area of central squareProbability = area of square /area of octagon = r2/(r2+r2+22√+r2)r2/(r2+r2+22+r2)= 1/(2+22√)take 2 common and multiply and divide byhence,The probability that the dart lands in centre is = √2-1.
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imma lose all my points but someone PLS HELP ME OUT WITH THIS I really need it done ASAP PLS
increase the amount of the ingredients by 5 and by 20
Answers
If increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.
Given that, Ingredients: 2 teaspoons Worcestershire sauce
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Converted to Metric measurements : 10.35 g
Increased by 5 = 10.35 × 5
= 51.75 grams
Increased by 20 = 10.35 × 20
= 207 grams
Therefore, if increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.
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A 9-foot ladder rests against the side
of a wall. The bottom of the ladder is
2 feet from the base of the wall.
Determine the measure of the angle
between the ladder and the ground.
Round to the nearest tenth.
Answers
Answer:
about 77.2°
Step-by-step explanation:
The figure is omitted--please sketch it.
Make sure your calculator is in degree mode.
[tex] \cos( \alpha ) = \frac{2}{9} [/tex]
[tex] \alpha = {cos}^{ - 1} \frac{2}{9} = 77.2[/tex]
77.2 degrees
What are the domain and range of f(x) = logx-5?
Answers
I think i got this one correct
The scatter plot shows the average price of major-league baseball ticket from 1997 to 2006
Predict the price of ticket in 2009.
Answers
The price of ticket will be $26 approximately in 2009 using the concept of the linear equation and slope.
What is linear equation?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.
Here,
The line has 2 points,
(2001,18) and (2005,22)
m=(22-18)/(2005-2001)
m=1
y-y1=m(x-x1)
y-18=x-2001
x-y=1983
(2009,y) is on that line,
2009-y=1983
y=26
Using the idea of the linear equation and slope, the ticket price in 2009 will be approximately $26.
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solve the equation:x/-3.5+33=30
Answers
Answer:
x=10.5
Step-by-step explanation:
Rewrite the equation in Ax+By = C form. Use integers for A, B, and C. y+3=-4(x-6)
Answers
Answer:
4x + y = 21
Step-by-step explanation:
1. distribute in the parenthesis first, so the right side of the equation is not -4x+24
Right now the total equation looks like y+3 = -4x+24
2. Now we add the 4x to both sides to cancel it out on the left side, so we're left with:
4x+y+3=24
3. After that we can subtract the 3 from both sides to leave us with:
4x+y=21
John read 7 and 1/2 pages in 2/5 of an hour at what rate in pages per hour did he read?
Answers
When John read 7 and 1/2 pages in 2/5 of an hour, the rate in pages per hour that he read is 18.75 per pages.
What is rate?It should be noted that rate is used to show the comparison between two things.
In this case, John read 7 and 1/2 pages in 2/5 of an hour.
The number of pages read per hour will be the division of the values given. This will be:
= 7 1/2 ÷ 2/5
= 7.5 / 0.4
= 18.75 pages
The pages is 18.75 pages.
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Make X
the subject of m=n+x/p
Answers
Answer:
m+n=x/p
p×(m+n)=(x/p)×p
x=pm+pn
Find all the zeros of the equation.
[tex]2x^4+70x^2-72=0[/tex]
Answers
Answer:
x = 1, -1
x = 6i, -6i
Answer:
1, -1, 6i, -6i
Step-by-step explanation:
Use mental math to subtract 3,273-1,256=
Answers
Answer:
Ima say 2017
Step-by-step explanation:
The diagram Shows a square of side 8 cm and four congruent triangles of height Calculate the areanof one triangle.
Answers
The area of one triangle is 28 cm².
From the question, we have
area = 1/2*base*height
= 1/2*8*7
=28 cm².
Multiplication:
In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n.
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in terms of i.
PLEASE HELP!!
Answers
Answer:
[tex]-4i\sqrt{3}[/tex]
Step-by-step explanation:
Answer:
[tex] - 4 \sqrt{3i} [/tex]
The medical department at a local government agency has compiled test results for sick individuals who have been tested for the flu. They have found that not all people who test positive for the flu actually have the flu, and some people who test negative for the flu actually have the flu. The following tree diagram shows the conditional relative frequencies.
A tree diagram shows sick individuals branching off into two categories, have the flu and do not have the flu, which is labeled 25%. Have the flu branches off into two sub-categories, test positive, which is labeled 95%, and test negative. Do not have the flu branches off into two subcategories, test positive and test negative, which is labeled 92%.
What percent of sick individuals test negative for the flu?
23%
27%
75%
25%
Answers
Answer: it is not 27%
Step-by-step explanation:
3x + 5y = 4
16x + 10y = 4
How can one number in the second equation be changed so the system has only one solution? Explain.
Answers
The way that one number in the second equation be changed so the system has only one solution is; to divide each term by 2 to get the coefficient of y as 5.
How to solve simultaneous equations?There are different methods to solve simultaneous equations such as;
Substitution MethodElimination MethodGraphical MethodWe are given the equations as;
3x + 5y = 4
16x + 10y = 4
Now, we want to perform an operation whereby we make the second equation be changed so the system has only one solution. This method is the elimination method.
The elimination method is the process that we use to eliminate one of the variables in the system of linear equations with the aid of the addition or subtraction methods as well as multiplication or division of coefficients of the variables.
Now, since we have 5y in the first equation, the first step to carry out on the second equation is to divide each term by 2 to get the coefficient of y as 5.
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At the bakery, they have 4 and a 1/8 pies for sale. They sell 1⁄4 of a pie for$5. How many pieces do they have to sell, and how much money will they make?
Answers
The number of pieces the bakery will sell is 16 and a half. The total amount of money they will make is $82.5.
What is the number of pieces of pies to be sold?To get the number of pieces of pies that they have to sell, we need to first determine how many 1/4 pies are in 4 and 8 pieces of bread. Going by that, we can see that:
1/4x of 4 = 16.
Also, 1/4x of 1/8 = 1/2.
So, the total number of pies that they have to sell is 16 and a half.
Now if 1/4 of a pie costs $5, then 4 1/8 will be equal to 33/8 × 5 ÷ 1/4.
This is equal to 165/8 × 4 = $82.5
So, the total amount of money that the bakery will make will be $82.5.
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Given that £1 = $1.62
how much is $405 in £
Answers
Answer:
£250
Step-by-step explanation:
Divide $405 by $1.62 which is 250.
Multiply that by £1 which is £250.
Substitution
2x-6y=18
x = 3y + 9
Answers
Answer:
x=17/14 y=5/21
Range and domain
Help pls
Answers
The domain and the range of the function are the sets X = {- 9, - 7, - 5, - 3, - 1, 1, 3} and Y = {- 5, - 3, - 1, 1, 3, 5, 7}.
How to derive the domain and the range of a function
Herein we need to determine the domain and the range of a function, functions are relations such that every element of the domain is related only to one element of the range.
Graphically speaking, the domain of a function are represented by the set of x-coordinates and the range by a set of y-coordinates. The picture shows a discrete function, that is, a function with a finite set of points. Then, the domain and range are listed by the following sets:
Domain
X = {- 9, - 7, - 5, - 3, - 1, 1, 3}
Range
Y = {- 5, - 3, - 1, 1, 3, 5, 7}
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you are 5 feet tall. if the angle of elevation of a tower is 23 degree and you are standing 10 feet away from the base of the tower, how tall is the tower?
Answers
The height of the tower is 9.24 feet. That is, the tower is 9.24 feet tall
Calculating the height of a towerFrom the question, we are to determine how tall the tower is
From the given information,
From a distance of 10 feet, the angle of elevation of the tower at a height 5 feet from the ground is 23 degrees.
Let x represent the length of the tower from a point 5 feet from the ground.
Thus,
The height of the tower will 5 + x feet
Now, we will determine x
Using SOH CAH TOA
tan 23° = x / 10
x = 10 × tan 23°
x = 4.24 feet
Height of the tower is 5 + x feet
Therefore,
Height of the tower = 5 + 4.24 feet
= 9.24 feet
Hence,
The height is 9.24 feet
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Rotate 90 counter clockwise around the origin and then reflect over the c-axis
Answers
In order to get the same outcomes as a form mirrored across the y-axis and turned counterclockwise, a shape can be reflected across the x-axis and then rotated 90 degrees in a clockwise manner around the origin. This suggests a similarity between these two transformative sequences.
What does mathematics mean by reflection?
A flip is the term used in geometry to describe a reflection. The mirror image of the form is a reflection. An image can reflect through a line known as the line of reflection. When all of the points in a figure are evenly spaced away from one another, the two figures are said to reflect each other.
(X, Y) > when a form is rotated 90 degrees counterclockwise (y, -x).
When the picture is reflected across the y-axis, (x, y) > (-x, y).
When those two transformations are used, it is the same as reflecting a shape across the line y = -x, where (x, y) > (-y, -x).
For instance: After being rotated 90 degrees clockwise and reflecting across the y-axis,
(2, 1) > (1, -2) > (-1, -2); and
(2, 1) > (-1, -2)
after being reflected across the y = -x line
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What is 3/4-3/10for IXL “L.12
Answers
The difference of the given fractions is 9/20.
The given fractions are 3/4 and 3/10.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
The difference of the given fractions is
3/4 - 3/10
= 15/20 - 6/20
= 9/20
Therefore, the difference of the given fractions is 9/20.
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A baseball and softball facility offers batting lessons and fielding lessons to its members. There are 850 members, all of which are registered for at least one lesson. If 80% of members registered for a batting lesson and 56% registered for a fielding lesson, how many members registered for both batting and fielding?
Answers
The members who have registered for both batting and fielding are 306.
What is percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
Total members = 850
Number of members registered for batting = 80%
Number of members registered for fielding = 56%
Members who participated in both,
80% of 850 + 56% of 850 - x = 850
680 +476 -x = 850
x = 1156 - 850
x = 306.
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Please help me with this (ASAP) 15 POINTS
Answers
It is going to be …… 3
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
A. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
B. What does the coefficient of the expression in part (a) represent?
I need help asap thx u if you can.
Answers
A. The expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs is 195x
B. The coefficient of the expression in part (a) represents D. The the total amount the animal shelter earns when x dogs are adopted
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this situation, to adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
Therefore, the expression to adopt x dogs will be:
= 80(x) + 65(x) + 50(x)
= 80x + 65x + 50x
= 195x
This is the cost for x dogs.
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4. Which theorem would explain why TU > SV?
Answers
Answer:
B. Hınge theoremStep-by-step explanation:
We can observe:
ST = UV, marked as equal;VT = TV, common side;m∠TVU = 45° > m∠STV = 44°, as marked.According to Hınge theorem if two sides of different triangles are equal and the angles between the two sides are different, then the larger angles has greater side opposite to it.
As TU is opposite to the larger angle, and SV is opposite to smaller angle, then TU > SV.
Correct angle choice is B.
Find the length of a using
the Pythagorean Theorem.
8
a
6
Hint: a² + b² = c²
Round your answer to the nearest tenth.
Answers
Answer:5.3
Step-by-step explanation:
using the Pythagorean theorem 8²-6²=28 √28=5.3
5
Step-by-step explanation:
Pythagoras theorem states that
a²+b²=c²
therefore a²=b²-c²
a²=8²-6²
a=√8²-6²
=√64-36
=√28
=5.3 or approximately 5
A swimming pool shaped like a rectangular prism measures 12 feet deep, 26 feet long, and 14 feet wide. determine the volume, v = lwh, of the pool in cubic meters. round the answer to the nearest cubic meter. (1 foot = 0.305 meter) 4,368 cubic meters 1,332 cubic meters 406 cubic meters 124 cubic meters
Answers
A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.
Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.
Volume is defined as the amount of space that a three-dimensional shape occupies.
The volume of a rectangular prism can be calculated using the formula below.
V = l x w x h
where V = volume
l = length
w = width
h = height or depth
Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.
V = l x w x h
V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³
V = 124 cubic meters
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I need help with math
Answers
Answer:
Math: the science and study of quality, structure, space, and change.
amy gets 7 our of 8 math problems correct, mark gets 7 out of 11 problems correct ,and carol gets 7 out of 9 math problems corect. order these fractions from least to Greatest
Answers
Answer:
[tex]\frac{7}{11}[/tex], [tex]\frac{7}{9}[/tex], [tex]\frac{7}{8}[/tex]
Hope this helps!
Step-by-step explanation:
One way to find this out is by just plain dividing the numbers, 7 ÷ 11 is 0.636363..., 7 ÷ 9 is 0.7777777..., and 7 ÷ 8 is 0.875. 7/11 is the smallest of all of them, then 7/9, and then 7/8.
