how do you find proportional relationships? also, while answering this could you give me an example? Whoever CAN ANSWER THIS FIRST I WILL GIVE YPU 20 POINTs
Answers
Answer:
A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Step-by-step explanation:
Answer:
simply just divide!
Step-by-step explanation:
okay, here is one example:
in 3 hours, you went 126 miles
In 4 hours, you went 168 miles
In 5 hours, you went 210 miles
So what is the unit rate of the miles(x) per hour(y).
The smallest number would be easier to divide. So you divide 126 and 3 and would be 42 miles.
Then find the quotient for the other ones.
168 divide 4 = 42
210 divide 5 = 42.
What is the same of all of them? 42 is the factor to all of the problems. So the proportional relationship (k) is 42. In a equation it would be y=42x (y=Kx)
To find the next number in the sequence you just multiply (x) with the factor.
Related Questions
Annalise withdraws $22.50 each day from
her account for a week. How can you represent the change in the
account for the week?
(PLEASE HELP QUICK)
Answers
The rate of change in the account for a week is $157.5.
Annalise has some money in her bank account. She withdraws $22.50 per day from her account for a week. We need to represent the change in the account for the week. The number of days in a week is seven. So, it means that she withdraws money from her bank account daily for seven days. The total amount of money withdrawn from the bank account is the product of the withdrawal amount per day and the total number of days in a week.
A = $22.5*7 = $157.5
Let the initial amount of money in the bank be "$x". The change in the bank balance is $157.5. The current balance is $(x - 157.5).
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the real estate group ny reports that the mean monthly rent for a one-bedroom apartment without a doorman in manhattan is $2886. assume the standard deviation is $586. a real estate firm samples 94 apartments. what is the probability that the sample mean rent is less than $2,918.03?
Answers
Probability that the sample mean rent is less than $2,918.03 is 0.050154
We are given that the Real Estate Group NY reports that the mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2886. Assume the standard deviation is $586.
Also, a real estate firm samples 94 apartments.
Let X = sample mean rent
The sample mean's z-score probability distribution is provided by;
Z = X-u/σ/[tex]\sqrt{n}[/tex] ~ N(0,1)
where, u= population mean monthly rent = $2,886
σ = standard deviation = $586
n = sample of apartments = 94
Now, the probability that the sample mean rent is less than $2,918.03 is given by = P( < $2,918.03)
P( < $2,918.03) = P(Z < 0.52)= 0.050154
The above probability is calculated using z table by looking at value of x = 0.52 in the z table which have an area of 0.050154
Therefore, probability that the sample mean rent is less than $2,918.03is 0.050154
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Fill in the missing values from the similar figures in the table
Answers
Step-by-step explanation:
9 × 1/2 = 4.5
8 × 1/2 = 4
hope it's helpful
pythagorean theorem digital escape puzzle 2 HELPPPP
Answers
Answer:
EGFB
Step-by-step explanation:
PQ= (105)^2 + (208)^2
PQ=233
Area = b*h
Area = 21840
RS = (210)^2 + (120)^2
RS = 241.87
Area = 1/2bh
Area = 1/2 (210)(120)
Area = 12600
A number is being multiplied by a power of 10. Find the number.
Enter your answers in the boxes.
___________ × 102 = 700
___________ × 103 = 36,000
___________ × 105 = 400,000
Answers
Answer:
When you have the base of 10 and an exponential index of “n”, the powers of 10 says that the resulting number will be 1 followed by “n” number of zeros. So for example, 10 to the 7th represents the same thing as 1 followed by 7 zeros. The result is 10,000,000 (10 million). Multiplying whole numbers by a power of ten would mean that you ...
I NEED HELP ASAP :
if a volume of an object varies directly with its width and if the volume is 16, while the with is 4 what is k?
Answers
The value of k is 4.
What is Proportion ?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Volume= 16
Width = 4
So, we can write the relation as
Volume= k (width)
k = Volume/ width
k= 16/4
k = 4
Hence, the value of k is 4.
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Trevor and Michael are hosting a banquet. They plan to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400| = 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Trevor and Michael should reserve so that every guest has a seat?
Answers
1. The maximum and the minimum number of guests that Trevor and Michael should host at the banquet are 18 and 14, respectively.
2. The minimum number of tables that Trevor and Michael will need for the banquet is 2.
How are the numbers determined?We can employ the mathematical operations of addition, multiplication, division, and subtraction to determine the numbers.
Since the budget is limited to $450 or less, we can compute the maximum and the minimum number of guests for the event, using division operation.
Total budget for the banquet = $400 ± $50
Cost per guest = $25
Maximum number of guests to expect = 18 ($450/$25)
Minimum number of guests to expect = 14 ($350/$25)
The number of guests a table can accommodate = 7
The minimum number of tables to use for the banquet = 2 (14/7)
The maximum number of tables to use = 3 (18/7)
Thus, using division operation, Trevor and Michael should expect to host between 14 and 18 guests at the banquet.
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565.2 divided by 78 equals?
Answers
Answer:
7.2461538
Step-by-step explanation:
Answer: 7.24615384615
Step-by-step explanation: I had a test that had this question.
A quadratic function f has a vertex at (6, −2).
a. Explain what it means for a function to have a vertex at this point.
b. How can you determine if this vertex is a maximum or minimum? Explain.
c. Explain how the values of f(2) and f(10) compare to the value of ƒ (6).
d. Compare the values f(2) and f(10).
Answers
Considering the vertex of the quadratic function at point (6,-2), it is found that:
a) The meaning is that the turning point of the function is at point (6,-2).
b) If the parabola is concave down, then the vertex is a maximum. If the parabola is concave up, then it is a minimum.
c) If the parabola is concave down, then f(2) = f(10) < f(6). If the parabola is concave up, then f(2) = f(10) > f(6).
d) f(2) = f(10).
What is the vertex of a quadratic equation?A quadratic equation is defined by the rule presented as follows:
y = ax² + bx + c.
The vertex can represent either a maximum point or a minimum point, depending on the coefficient a, as follows:
Maximum: a < 0. -> concave down parabola.Minimum: a > 0. -> concave up parabola.The vertex is also the turning point of the graph of the parabola.
In this problem, the coordinates of the vertex are (6,-2), hence:
If the parabola is concave down, all the values are lesser than f(6).If the parabola is concave up, all the values are greater than f(6).When two points are equidistant from the vertex, they have the same numeric value, hence:
f(2) = f(6).
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45 g and 60 b will go on a field trip. What is the maximum number of groups we can form where each group has the same number of g and the same number of b? How many g and how many b will each group have? Thank you.
Answers
Answer:
17
Step-by-step explanation:
First, add up the total and find a number divisible for your total which is 105. The next step will be to divide by a number that can go into it easily, like 3 for example. then you would get 35. Since we want the most groups try a number *2 of 3 and that will be 6. After you divide you'll get 17.5 . and since there isn't .5 of a person you go to the lowest number ( not rounding ) and that'll be 17 since 105 divide another multiple of 3 would get you 11.66 repeated.
Part A: Timothy said that triangle KLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy correct? Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor
Part B: Are the two triangles similar? Explain.
Answers
a. Timothy is correct, as each vertex of triangle KLM was multiplied by 1.5.
b. The two triangles are similar, as they have the same angle measures, since a dilation does not change the angle measures.
What is a dilation?A dilation occurs when each of the vertices of a image is multiplied by a constant, which is called scale factor.
The vertices of triangle KLM and given as follows:
K(-1,3), L(8,4) and M(10,-3).
The vertices of the triangle K'L'M', obtained after the dilation, are given as follows:
K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).
Hence the scale factor is given by the multiplication of one the equivalent coordinates of the equivalent vertices, as follows:
-1.5/-1 = 1.5.
Meaning that Timothy is correct.
The two triangles are similar, as the dilation changes the side lengths but keep the angle measures constant, keeping the similarity of the triangles.
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How do you write 11+5(3x-2)-8x in the sum of two terms
Answers
The simplified for of the Algebraic expression which is the sum of two terms is 1 + 7x
What is an Algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms which can either be a variable or a constant .
11 + 5(3x - 2) -8x
multiply out the bracket we have,
11 + 15x - 10 -8x
collect like terms and simplify
11 - 10 + 15x - 8x
1 + 7x
In conclusion, the expression 11 + 5(3x - 2) as a sum of two terms is 1 + 7x
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45 strikeouts in 36 inning or 96 strikeouts in 80 innings
Answers
which combination of factors is most likely to produce a significant value for an independent-measures t statistic? group of answer choices small samples and small variance small samples and large variance large samples and small variance large samples and large variance
Answers
large samples and small variance are combination of factors is most likely to produce a significant value in standard deviation .
What is standard deviation?
The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.The standard deviation calculates how much the data vary from the mean value. The mean of the following two numbers, for instance, is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. The second, though, is obviously more dispersed.t = x - μ/s/√n
t = √n( x- μ)/s
t will be significant when its value will be higher .
so, the answer is large samples and small variance .
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What is the period for the contangent function?
Answers
poisson distribution is applied for a. continuous random variable b. discrete random variable c. irregular random variable d. uncertain random variable
Answers
Poisson Distribution along with Binomial Distribution is applied for Discrete Random variable.
What is discrete variable and example?
Counting is the method used to determine the value of a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. number of heads when three coins are flipped. grade level of the pupils.What is discrete and continuous random variable?
The range of possible values for a discrete random variable is finite. Any value could be assigned to a continuous random variable (usually within a certain range). Although it could be a rational fraction, a discrete random variable is normally an integer.Learn more about discrete random variable
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y = 1,000x is that a constant proportionality
Answers
Find the area of the region that is NOT shaded.
Answers
well, looking at the picture we can see the blue rectangle is a 4x6 whilst the larger containing rectangle is a 14x15, well, we can simply get the area of the larger one and subtract the area of the smaller one.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{white~rectangle}{(14)(15)}~~ - ~~\stackrel{blue~rectangle}{(4)(6)}}\implies 210-24\implies \text{\LARGE 186}[/tex]
Julie obtained an installment loan of $4,600 to have some trees removed from her
yard. The APR is 13 percent. The loan is to be repaid in 36 months. What is the
finance charge (Use the table on page 799 for monthly payment)?
O $2,432.02
A
O $12,870.00
B
O $16.15
C
O $980.72
D
Answers
The finance charge for Julie's installment loan of $4,600 at 13% for 36 months is D. $979.64.
What is the finance charge?The finance charge represents the interest and other administrative charges for granting a loan to an individual or organization.
The finance charge is always described in terms of the APR (annual percentage rate) that accrues on the loan, depending on the amount and the period.
N (# of periods) = 36 months (3 years x 12)
I/Y (Interest per year) = 13%
PV (Present Value) = $4,600
FV (Future Value) = $0
Results:
PMT = $154.99
Sum of all periodic payments = $5,579.64
Total Interest = $979.64
Thus, Julie will pay a finance charge of $979.64.
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Question Completion:Option D. $979.64
What is the domain of the following function
Answers
The domain of the given function is equal to: {-4, 2, 6, 9}.
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values or numbers to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Generally speaking, the horizontal extent of the graph of a function represents all domain values and they are read and written from the smallest to the largest numerical values, and from the left of a graph to the right.
By critically observing the given function, we can reasonably and logically deduce the following:
Domain = {-4, 2, 6, 9}.
Range = (-3, 1).
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A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square? 0.75 inch 1.25 inches 2.25 inches 4.75 inches
Answers
The length of the square, given the height of the King, can be found to be 1.25 inch.
How to find the height?The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.
If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height
Solving gives us:
= (2 . 25 x 2 . 5 ) / 4.5
= 5.625 / 4. 5
= 1.25 inches
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algebra solution for tiffany had $330 in her account in 1999 and the value has been growing exponentially at a constant rate. the value of the account reached $590 in the 2007. what is the value in 2009?
Answers
The value of the account in the year 2009 will be $682.
The acount's balance, in t years after 1999, can be modeled by the following equation.
In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.
In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.
$330 in an account in the year 1999This means that $590 in the year 20072007 is 8 years after 1999, so P(8) = 590.We use this to find r.Determine the value of the account, to the nearest dollar, in the year 2009.2009 is 10 years after 1999, so this is A(10).The value of the account in the year 2009 will be $682.learn more about solutions here:
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Which of the following equations can be solved for x in one step by multiplying both sides of the equation by 2?
Answers
Answer:
x/2 = any number
Step-by-step explanation:
What is the product?
3 6 1
24 0
0 6 2
x 2 0 1
Answers
Answer:
Step-by-step explanation:
Calculate the distance around a triangle whose sides are :
Answers
The distance around the triangle is equivalent to 13x/12.
What is triangle?
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given are the sides of triangle as x/2, x/3, x/4
The distance around the triangle is equivalent to perimeter of triangle. We can write perimeter as -
P = x/2 + x/3 + x/4
P = (6x + 4x + 3x)/12
P = 13x/12
Therefore, the distance around the triangle is equivalent to 13x/12.
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which is an example of a categorical random variable? a. the weight of a package of meat b. the length of the display shelf where the meat is displayed c. the color of a piece of meat d. the number of steaks sold by a supermarket
Answers
A six-sided die is rolled, with the potential results being 1, 2, 3, 4, or 6. Gender and illness status are examples of categorical random variable data. A, B, AB, or O correspond to a person's blood type. A voter's potential choice for a political party, e.
What is categorical random variable data?A categorical distribution, also known as a generalized Bernoulli distribution or a multinoulli distribution[1], is a discrete probability distribution used in probability theory and statistics to describe the potential outcomes of a random variable that can fall into one of K different categories, with the probability of each category being true being specified separately. Although numerical labels are frequently used to describe the distribution, there is no inherent ordering to these results (e.g. 1 to K). The most typical distribution over a K-way event is the K-dimensional categorical distribution; any other discrete distribution over a size-K sample space is a special instance.The only restriction on the parameters indicating the probability of each potential event is that they must all fall between 0 and 1.Hence, the example is . the color of a piece of meat
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Write the fraction or mixed number as a percent . 6/25
Answers
Answer:
24%
Step-by-step explanation:
6/25 is also the same as 24/100 because
(6/25)*(4/4)=24/100
Since the denominator is 100, the numerator is the percentage.
6/25=24%
Answer:
24%
Step-by-step explanation:
One way to figure this out is to multiply the denominator by 4 so that it becomes 100. This makes it easy to see what the percentage will be.
6/25 x 4/4 = 24/100
6/25 = 24%
passes through T(0, -2), perpendicular to CX with C (0, 3) and X (2, -1)
Answers
Answer:
it would be honestly idj
Step-by-step explanation:
im tryin to get point
Commuting Distances (in miles)
The commuting distances in miles of 10 employees were used to make the box plot shown above. Which of the following is the median of the set of commuting distances? (please no long paragraphs or answers that aren't even there)
A. 30
B. 25
C. 28.5
D. 27.5
Answers
Answer:
The answer is gonna be B. Sorry if I’m late :((
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
Bret Rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan. At the end of 1 year he owes the bank $70,000. Since then interest rates have increased to 13%. The bank will renew the mortgage at this rate, or Bret can pay the bank $70,000. He decides to renew and will now pay $11.72 monthly per thousand on his loan. (You can ignore the small amount of principal paid during the year.)
The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%
Answers
The old monthly payment was = 10.67 x 70 = 746.9
The new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
Given,
Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan
According to the question:
So, per thousand value of $70,000 is 70000/1000 =70
Now, the old monthly payment was = 10.67 x 70 = 746.9
He decides to renew and will now pay $11.10 monthly per thousand on his loan.
So, the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100
9.8406 % and to nearest tenth it is 9.8406%
Hence, the old monthly payment was = 10.67 x 70 = 746.9
the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
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