Proportional relationships are relationships between two variables where their ratios are equivalent. b and c represents Proportional relationships.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
The first table is
x 1 2 3 4 5
y 9 10 11 12 13
The ratios are not same
1/9, 2/10=1/5, 3/11, 4/12=1/3, 5/13
So it is not a proportional relationship.
b 1 4 5 7 11
c 3 12 15 21 33
The ratios are same .
1/3, 4/12=1/3, 5/15=1/3, 7/21=1/3, 11/33 =1/3.
Hence b and c table shows proportional relationship.
p 1 3 5 7 9
q 0 2 4 6 8
The ratios are not same it does not show proportional relationship.
r 3 6 10 12 15
s 2 4 6 8 10
The ratios are not same it does not show proportional relationship.
Hence the table b and C shows proportional relationship.
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a piece of yellow yarn was 230 inches long. After 90 inches had een cut from it,,, the piece of yellow yarn was twice as longas a piece of blue yarn. How much longer than the blue yarn was the yellow yarn at first?
Answer:
160 inches longer.
Step-by-step explanation:
Let x represent the length of the blue yarn.
We have been given that a piece of yellow yarn was 230 inches long. After 90 inches had been cut from it, the piece of yellow yarn was twice as long as a piece of blue yarn.
Twice the length of blue yarn would be [tex]2x[/tex].
We can represent this information in an equation as:
[tex]2x+90=230[/tex]
[tex]2x+90-90=230-90[/tex]
[tex]2x=140[/tex]
[tex]\frac{2x}{2}=\frac{140}{2}[/tex]
[tex]x=70[/tex]
Therefore, the length of blue yarn is 70 inches long.
Now, we will subtract 70 from 230 as:
[tex]230-70=160[/tex]
Therefore, the yellow yarn was 160 inches longer than the blue yarn.
How do I add unlike denominators?
Anyone know if -2.35/30.8 is equal to -47/616
What type of triangle has the sides 3 16 and 17?
Roman has 2 red pencils in his backpack if this is 25% of the total number of pencils how many pencils are in his backpack. you dont have to but if you can explain
Lainey wrote the prime factorization of 60 as 2 x 5 x 6. Is she correct? If not, what is the prime factorization of 60? explain
Mr. Robredo is building a fence around a rectangular region with 36 feet of fencing. The area of the rectangular region is 65 square feet. What are the length and the width of the rectangular region? Enter your answers in the boxes.
In the situation, simple interest is calculated yearly.
How much interest was earned?
Drag and drop the answer into the box.
(Words Go with picture)
Answer:
3,840
Step-by-step explanation:
hope this helped:)
what is 86 divided by 9
Give an example of a problem that could be solved using the 9.5x(8+12.5)
The equation d=rt is used to calculate distance, rate, or time, where dd is the distance (in meters), r is the rate (in meters per minute), and tt is the time (in minutes). Consider the statements below that describe the walking rates for three people. Graph the equation that represents the rate of the fastest person. Tomas walks 1200 meters in 8 minutes. Becky walks for 10 minutes and goes 1400 meters. Derrick walks at a rate of 145 meters per minute.
Tomas is the fastest walker so we will write the equation based on his speed.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that the equation d=rt is used to calculate distance, rate, or time, where dd is the distance (in meters), r is the rate (in meters per minute), and t is the time (in minutes).
Tomas: 1200/8= 150 m/min
Becky: 1400/10= 140m/min
Tomas is the fastest walker so we will write the equation based on his speed
y = 150x
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What would be farthest right on a the number Line??
-3.25 or -1.75
-9.7 or -9
4/5 or 0
-70 or -70 4/5
-15 or -5
1/2 or -2
-99, -100 or -99.3
0.05 or 0.5
0, -3/4 or -1/4
-0.02 -0.04
Each pair or the ones with three numbers in them are a separate group...please try to answer correctly
There are 26 third graders and 32 fourth graders going on a field trip.each can can carry 10students. How many vans are needed.how many students will be in each van
If -4(x-3)+5x=24, then x= what?
Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation. Please help!! :)
Answer:
3.59x + 1.49y ≤ 13
Step-by-step explanation:
Let x represents the number of notebooks and y represents the number of pens.
If notebooks cost $3.59 and pens cost $1.49 then total cost of the pens and notebooks will be = 3.59x + 1.49y
Bryan spends up to $13 means that total expenditure must be less than equal to $13
Then inequality will be
3.59x + 1.49y ≤ 13
What is the value of 2x4+5x when x =6?
Write and solve an equation to answer the question How many people must attend the third show so that the average attendance per show is 30007 Theater Attendance, first show is 2580,second show is 2920.
To achieve an average attendance of 30007 over three shows with the first two shows having audiences of 2580 and 2920 respectively, 84421 people must attend the third show.
Explanation:The subject here is Mathematics and we will be solving for the average attendance required for three shows to have an average of 30007 attendees per show.
Let's denote the number of people that need to attend the third show by 'x'. According to the problem, the average attendance of the three shows should be 30007, hence:
(2580 + 2920 + x) / 3 = 30007
This simplifies to 5500 + x = 90021
Subtracting 5500 from both sides, we get:
x = 90021 - 5500
Therefore, a total of 84421 people need to attend the third show for the average attendance across all three shows to be 30007.
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Ninety-eight camp participants are to be divided into 7 groups. Brittany uses the five-step problem-solving plan. After completing the Solve step, how many participants should she find will be in each group?
Tamara sold 92 cold drinks during her 2-hour shift at a festival food stand.if she sold the same number of drinks each hour, how many cold drinks did she sell each hour?
A plank measures 4 and 3/4 feet. Elizabeth cuts off 2/5 of the plank. How long is the plank now?
To find the length of the plank after cutting off 2/5, convert the original length to an improper fraction, calculate the length of the cut portion as a fraction, and subtract it from the original length.
Explanation:To determine the length of the plank after Elizabeth cuts off 2/5 of it, we can subtract the length of the cut portion from the original length of the plank.
First, we need to convert 4 and 3/4 feet to an improper fraction. This is equal to 19/4 feet.
Next, we can find 2/5 of 19/4 by multiplying it: (2/5) * (19/4) = 38/20 = 19/10 feet.
To find the length of the plank now, we subtract 19/10 feet from 19/4 feet: 19/4 - 19/10 = 95/20 - 19/20 = 76/20 = 3 and 16/20 feet.
Therefore, the plank is now 3 and 4/5 feet long.
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troys recipe for bagels makes 18 per batch. troy makes 2/3 batch of bagels. How many bagels does troy make?
6.4 rounded to the nearest whole number
Select the factor pairs for the number 28. Choose ALL that apply.
A 20 and 8
B 7 and 4
C 14 and 2
D 28 and 1
Plz help I’m giving brainlist
Answer:
Meal A cost $30 a person (60/2)
Meal B cost about $26.5 a person (80/3)
Meal C cost $24 a person (96/4)
Meal D cost $23 a person (115/5)
Step-by-step explanation:
It takes a bus driver 30 minutes to pick up students from four spots. The last stop is at the corner of Green Street and Route 70. The most direct route to school is north on Route 70. The speed limit on Route 70 is 35 kph. The bus driver wants to calculate the average velocity from the last stop to school. Can this be done from the information given?
A. Yes, if the speed limit is 35 kph, and the elapsed time is 30 minutes, the average velocity is 17.5 kph north.
B. No, the distance from the last stop to the school and the time is takes to travel that distance are required.
C. Yes, if the average speed is 35 kph, and it takes 30 minutes, the average velocity is 17.5 kph.
D. No, the distance from the first stop to the school and the average speed are required.
Answer:
B. No, the distance from the last stop to the school and the time is takes to travel that distance are required.Step-by-step explanation:
The problem doesn't give enough information to find the average velocity, because it doesn't specifies the total distance the driver has to cover, neither the time.
Also, the problem doesn't offer the initial or final speed of each part of the road, which can be used to find the average.
However, the best option to find the average velocity here is by knowing the total distance and the total time required, because their quotient is the average speed.
Therefore, the right answer is B.
The angles of a triangle are 2x, 3x, and 4x degrees.
Find the value of x.
A) 20
B) 30
C) 40
D) 50
3 angles in a triangle need to = 180 degrees
so you have 2x+3x+4x = 180
9x = 180
x = 180/9
x = 20
Answer is A
Approximate height of tower the person is
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs the company $16, while the cylindrical container costs the company $15. If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs? Explain. How many rectangular containers will be necessary to package 6,400 candles?
To minimize costs, the company should use only rectangular containers. The company will need 143 rectangular containers to package 6,400 candles.
Explanation:To minimize costs, the company should use only rectangular containers to package the 6,400 candles. Since each rectangular container holds 45 candles and costs $16, we can calculate the number of containers needed by dividing the total number of candles by the number of candles in each container:
Number of rectangular containers needed = Total number of candles / Number of candles in each rectangular container
= 6,400 / 45
= 142.22
Since we cannot have a fraction of a container, we need to round up to the nearest whole number. Therefore, the company will need 143 rectangular containers to package 6,400 candles.
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Bethany is baking cookies for her school's bake sale. She plans to bake more than 185 cookies, in batches of 12 cookies. So far, Bethany has baked a total of 48 cookies. What inequality describes this situation, if b represents the number of batches of cookies Bethany has left to bake?
The inequality that describes this situation is "b > 12", where b represents the number of batches of cookies Bethany has left to bake.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
As per the question, we can start by subtracting the number of cookies that Bethany has already baked (48) from the total number of cookies she plans to bake (185).
This gives us a difference of 185 - 48 = 137 cookies.
Dividing this number by the number of cookies per batch, we get 137 / 12 = 11.41.
Since Bethany is baking whole batches of cookies, the number of batches she has left to bake must be at least 12.
This means b > 12
Therefore, the inequality "b > 12" accurately describes the situation, where b is the number of batches Bethany has left to bake.
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Seven ounces of liver contains 42grams of protein. How many ounces a liver will provide 90gm of protein