A ratio table organizes equivalent ratios, aiding in systematic plotting of points to graphically represent the relationships between different quantities.
A ratio table is a useful tool in graphing equivalent ratios by providing a systematic and organized way to identify corresponding pairs of values. To use a ratio table for graphing equivalent ratios, follow these steps:
Identify the Original Ratio:
Start with the given ratio or pair of values. For example, if the original ratio is 2:3, write this pair in the first row of the ratio table.
Generate Equivalent Ratios:
Expand the ratio by multiplying or dividing both parts by the same factor. For instance, if you multiply both parts of the original ratio by 2, you get an equivalent ratio of 4:6. Record these equivalent ratios in subsequent rows of the table.
Create an Ordered Pair:
Pair each value from the ratio table to create ordered pairs. For the ratio 2:3, the pairs would be (1, 1.5), (2, 3), (3, 4.5), and so on.
Plot the Points:
Use the ordered pairs to plot points on a coordinate plane. Each point represents a pair of equivalent values.
Connect the Points:
Draw a line or curve that passes through all the plotted points. This line represents the graph of the equivalent ratios.
By systematically generating equivalent ratios and plotting the corresponding points, a ratio table facilitates the visualization of patterns and relationships, helping in the creation of a coherent graph.
A ratio table is used to graph equivalent ratios by listing pairs of numbers that maintain the same product and graphing those pairs as points on a coordinate graph. These points should line up to form a straight line, indicating equivalent ratios. Understanding the reciprocal of the numbers is key in constructing a clear and accurate graph.
Explanation:How to Use a Ratio Table to Graph Equivalent Ratios
A ratio table is a tool that helps us understand the relationship between quantities. It is particularly useful for visualizing equivalent ratios and can be used to graph these ratios. When you use a ratio table, you list pairs of numbers that form equivalent ratios. By selecting values that multiply to a constant number, such as 10, you ensure that the ratios are equivalent.
For instance, if the ratio is 2:5, we know that any other pair of numbers that multiplies to 10 (like 4:2.5, 1:5, or 5:2) will be equivalent to this ratio. Once you have a set of equivalent ratios, you can graph them by plotting the pairs of numbers as points on a coordinate graph. The resulting points should form a straight line, which represents the constant relationship between the two quantities.
To effectively use a ratio table and subsequently graph equivalent ratios, it is important to understand the concept of the reciprocal and how it relates to the ratios. For example, the reciprocal of 8 is thought of as '1.25-like', which means it shares a fundamental relationship (125) despite the actual placement of the decimal point. This approach aids in easily identifying the patterns in the ratios and transferring them to a graph.
Bar graphs are also a vital tool in comparing quantities across different categories. By employing bar graphs, you can visually compare the relationships between different sets of data, such as population sizes or the number of students falling into different categories. Effective use of colors, legibility, and orderly display are essential features to ensure clarity in bar graphs.
At a concession stand, three hot dogs and two hamburgers cost $7.75;two hot dogs and three hamburgers cost $8.50. Find the cost of one hot dog and the cost of one hamburger
Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles.
Tickets are priced as follows:
Adult Tickets -£12
Child Tickets -£6
Cheryl rings the booking office to buy 6 adult tickets and 3 child tickets
She is told that a 10% booking fee will be added to the ticket price
2% will then be added if she is paying by credit card
Work out the total charge that Cheryl will have to pay if she uses her credit card to pay for the tickets
Answer:
down there
Step-by-step explanation:
£72 + £18 = £90
90 x 12%= £9 + £1.80
£90 + £10.80 = £100.98
Pedro was simplifying four over seven divided by five over eight. and his work is shown below. Identify where he made his error. Original problem: four over seven divided by five over eight. Step 1: four over seven multiplied by eight over five . Step 2: four times five over seven times eight. Step 3: twenty over fifty-six. Step 4: five over fourteen.
Answer: it's the 2nd step
Pedro made an error in step 2, he crossed multiplied instead of multiplying.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Pedro was simplifying four over seven divided by five over eight.
= (4/7)/(5/8)
= (4/7)x(8/5)
= 32/35
In Step 2 Pedro made mistake, he crossed multiplied instead of multiplying the numerators, and then the denominators.
Thus, Pedro made an error in step 2, he crossed multiplied instead of multiplying.
Learn more about the fraction here:
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Simplify the expression.
2 1/4x+(4 1/3x-7 4/5) divided by 2 3/5
If the sles tax price je 162 and had a markdown of 1/4 what is the original price
What is 3/4 of a year ? Write in months.
How many times can 3 go into 9
The probability that an event will occur is fraction 7 over 8. Which of these best describes the likelihood of the event occurring? a.Likely b.Certain c.Unlikely d.Impossible
Answer:
A
Step-by-step explanation:
A is the correct answer because, 7/8 is very likely. It isn't certain though. There is a 12.5 % chance that it can occur.
If Mary deposits $275 in principal at an interest rate of 3.2 percent,how much interest will she earn in one year
Final answer:
Mary would earn $8.80 in interest after one year on her deposit of $275 at an annual interest rate of 3.2%, using the simple interest formula.
Explanation:
To calculate the amount of interest Mary would earn from her deposits of $275 at an annual interest rate of 3.2%, we can use the formula for simple interest, which is:
Interest = Principal × rate × time
In this case, Mary's principal is $275, the rate is 3.2% (or 0.032 when expressed as a decimal), and the time is 1 year. Plugging these values into the formula gives us:
Interest = $275 × 0.032 × 1
Interest = $8.80
Therefore, Mary would earn $8.80 in interest after one year.
A popular brand of running shoes costs a local store $68 for each pair. If the store sells the shoes for $119, what is the percent of increase in the price?
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped bin has an edge length of 34 yard. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.
The area of this triangle, A, is equal to the perimeter of this triangle.
Create a system of equations to model this situation. Determine if there are any solutions, and, if possible, whether or not they are viable.
How many total possible solutions are there to this system?
Of any possible solutions, how many are viable solutions for this situation?
Answer:
two possible and one viable
Step-by-step explanation:
hope this helps!
Tennis balls are sold in tubes that hold 3 tennis balls each. A store stacks 2 rows of tennis ball tubes on its shelf. Each row has 7 tubes in it. How many tennis balls are there in all?
There are a total of 42 tennis balls on the shelf.
To determine the total number of tennis balls on the shelf, we first need to find out how many tennis ball tubes are there. Each row has 7 tubes and there are 2 rows:
Number of tubes per row = 7
Number of rows = 2
Total number of tubes = 7 tubes/row × 2 rows = 14 tubes
Since each tube contains 3 tennis balls, we multiply the total number of tubes by the number of tennis balls per tube:
Number of tennis balls per tube = 3
Total number of tennis balls = 14 tubes × 3 tennis balls/tube = 42 tennis balls
Therefore, the store has a total of 42 tennis balls on the shelf.
The arena intends to give a gift box to each company that hires a stand at the event. Select from the options below the nets which will fold up into a cube.
29 plus j is equal to the quotient of 77 and j
Write as an equation
which questions are good examples of a statistical question? check all that apply
a. How many pets do you have
b. do you think a pet is a lot of work?
c. do you like having a pet?
d. how many times a day do you feed your pet?
e. do you feed your pet at night?
Answer:
A and d are pretty good questions
Carl ran 27 miles last week. This is 3 times farther than Anna ran. Which equation can be used to find how many miles Anna ran?
if a + 8 = 11 what is the value of 8a
how many square feet of outdoor carpet will we need for this hole
Answer: 36 sq
Step-by-step explanation: you add 24 to 12 and get 36
Answer:
[tex]36\text{ inch}^2[/tex]
Step-by-step explanation:
We have been given an image of outdoor carpet needed for a hole. We are asked to find the area of outdoor carpet needed for this hole.
We can see that there are two pieces needed to cover the given hole.
One pieces equal 24 square inches and another pieces equal 12 square inches.
[tex]\text{Area of carpet needed to cover the hole}=24\text{ inch}^2+12\text{ inch}^2[/tex]
[tex]\text{Area of carpet needed to cover the hole}=36\text{ inch}^2[/tex]
Therefore, [tex]36\text{ inch}^2[/tex] of carpet is needed to cover the given hole.
Ari bought a DVD that originally cost $15 on sale for 20% off. The sales tax is 5%. How much did Ari pay for the DVD, including tax.
HEEEEEEEEEEEEEEEEELP
PLEASE HELP ME I BEG YOU PLEASE PLEA PLEASE
Solve 2x + y + z = 5
4x – 2y – z = 0
3x – y + 2z = 6
(1, 1, 2)
(-1, -1, -2)
(5, 0, 6)
(1, 1, -2)
Solve 3x + 6y – 6z = 9
2x – 5y + 4z = 6
-x +16y + 14z = -3
(5, 0, 1)
(9, 6, -3)
(0, 3, 0)
(3, 0, 0)
Solve –x + y + 2z = 2
2x – y + z = 5
-4x – y + 3z = 3
(2, 5, 3)
(0, 4, -1)
(1, -1, 2)
(-1, 1, -2)
Solve –x + 3y + z = 9
2x + 5y = 27
3x + y – 2z = -18
(1, 3, -2)
(21, -3, 39)
(1, 2, -4)
(22, -1, 26)
Solve x – 2y – 3z = 3
3x + y + z = 12
3x – 2y – 4z = 15
(0, 0, -1)
(3, 12, 15)
(3, 9, -6)
(-3, -9, 6)
Solve x + 3y + z = 1
2x – y – z = 6
5x + y + z = 1
(1, 6, 1)
(1, 2, -6)
(2, 1, -4)
(-1, -2, 6)
Answer:
The first one is (1, 1, 2)
The second one is (3, 0, 0)
The third one is (1, -1, 2)
The fourth one is (21, -3, 39)
The fifth one is (3, 9, -6)
The sixth one is (1, 2, -6)
Is this right. If so what’s the correct answer
A right circular cylinder has a volume of 1296 cubic inches. If you divide the radius of the cylinder by 12, what would be the volume of the smaller cylinder?
How can you estimate to find the percent of a number? Please give a full explanation.
(do not use an example to demonstrate)
PLEASE HELP WILL GIVE 30 POINTS
Add or subtract. Show your work for each problem
a. (x^2-4x+5)+(7x^2+2x-3) b. (7x^2+4x-6)-(2x^2-3x+1)
To solve this problem you must apply the proccedure shown below:
a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:
[tex] (x^{2}-4x+5)+(7x^{2}+2x-3) [/tex]
[tex] 8x^{2} -2x+2 [/tex]
b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:
[tex] (7x^{2}+4x-6-2x^{2}+3x-1) \\ 5x^{2} +7x-7 [/tex]
The answers are: a)[tex] 8x^{2} -2x+2 [/tex]; b) [tex] 5x^{2} +7x-7 [/tex]
a)
x² - 4x + 5 + 7x² + 2x - 3
8x² - 2x + 2
b)
7x² + 4x - 6 - (2x² - 3x + 1)
7x² + 4x - 6 - 2x² + 3x - 1
5x² + 7x - 7
If 5 lemons are used to make a gallon of lemonade,how many lemons are needed to make 3 gallons
find f when 27f=81 f=
What is the equation in point-slope form of the line passing through (2,2) and (4,8)