The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality,
x
y
start fraction, y, divided by, x, end fraction ?
Answers
0.50
Step-by-step explanation:
Its right <3
In the graph the constant of proportionality is 0.5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
From the given graph let us take one point (1, 0.5)
k=0.5/1
Constant of proportionality is 0.5
Hence, in the graph the constant of proportionality is 0.5
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
Related Questions
what is the answer for -6-(-13)
Answers
Answer:
7
Step-by-step explanation:
Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer
Hope this helps!
A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 application fee. Twelve new students enrolled, and the school collected $750. Which equation can be used to find p, the regular price of enrollment?
Answers
Answer:
12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.
Step-by-step explanation:
So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2
where p = regular price of enrollment
So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.
So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)
The amount they all paid is $750.
To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750
The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750
Explanation:
In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.
In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answers
Answer:
The school is 1.5 miles away from Jonathan's home
Step-by-step explanation:
Let D be the distance remaining after 1 mile
We are given that He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance.
So, Time taken to cover D distance by Son is equal to the time taken by mother from home to school entrance(D+1) since she caught him at school entrance
Speed of Jonathan bike = 15 mph
Speed of Mother's bike = 25 mph
So, [tex]\frac{D}{15}=\frac{D+1}{25}[/tex]
25D=15D+15
10D=15
D=1.5
So, the school is 1.5 miles away from Jonathan's home
Can anyone help with this one ?
Answers
7) 145
4) 55
5) 90
9) 145
Brainliest please if you can and you’re welcome
Answer:
1. 35 2. 145 3. 35 4. 90 5. 145
Step-by-step explanation:
2 (x - 5) = 7 + 2x
What is the answer ?? I need help !?
Answers
Answer:
0=17
Step-by-step explanation:
2X - 10=7 +2x
-10 = 7
7 is fasle
i believe the answer is 17
Jose had the following division problem for homework. What is the quotient?
$0.56
$5.60
$56.00
$560.00
Answers
Answer: it’s C
Step-by-step explanation: I took the test :)
Answer:
C
Step-by-step explanation:
mark the other guy
:)
Simplify: 3x-4(2x-6) + 9
Answers
Look at the photo above and Answer the following
First one will get brainliest
Points set to 15 pls answer this as fast as possible grade 9 maths thank you
Answers
[tex]6 \times ( - 4) \\\blue{ = - 24}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 20}{ - 5} \\ = \frac{20}{5} \\ \blue{= 4}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 60}{6} \\\blue{ = - 10}[/tex]
[tex] \\[/tex]
[tex] - 2 \times 9 \\ \blue{ = - 18}[/tex]
[tex] \\[/tex]
[tex] \frac{20}{ - 4} \\ \blue{ = - 5}[/tex]
[tex] \\[/tex]
[tex] - 2 \times - 5 \\ \blue{= + 10}[/tex]
[tex] \\[/tex]
[tex] \frac{ - 49}{7} \\ \blue{ = - 7}[/tex]
[tex] \\[/tex]
[tex] - 10 \times - 7 \\ \blue{= + 70}[/tex]
[tex] \\[/tex]
[tex] \frac{36}{ - 6} \\ \blue{= - 6}[/tex]
[tex] \\[/tex]
[tex] - 10 \times 8 \\ \blue{ = - 80}[/tex]
[tex] \\[/tex]
[tex](2 \times - 3) - ( - 7\times - 10) \\ = - 6 - ( + 70) \\ = - 6 - 70 \\ \blue{ = - 76}[/tex]
were asked whether they like cricket (C) and football (F). The number liking both cricket and football was three times the number liking only cricket. Adding 3 to the number liking only cricket and doubling the answer equals the number of people liking only football. Four said they did not like sport at all.
a Draw a Venn diagram to represent this information. b Calculate n(C ∩ F).
c Calculate n(C ∩ F').
d Calculate n(C ' ∩ F).
Plzzzz help me
Answers
A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s2
Find the total distance travelled.
Answers
Answer:
80 m
Step-by-step explanation:
From the question;
Initial velocity, u, = 20m/s
Time = 15 s
deceleration= -2.5 m/s² ------negative acceleration
The formula to apply is;
v²=u²+2as
where v is the final velocity = 0m/s and s is the total distance travelled.
Applying the formula as;
v²=u²+2as
0²=20²+ 2*-2.5*s
0=400+ -5s
0=400-5s
5s= 400
s= 400/5 = 80
s= 80 m
The total distance travelled is 80 m.
Suppose jefferson middle school had 616 students and averaged 28 students per teacher during the year. If Jefferson Middle Schools student population increases by 18% this year and 9% of last years teacers left, how many new teachrs does Jefferson need to hire to keep its average of 28 students per teacher
Answers
Answer:
6 more teachers are required.
Step-by-step explanation:
Total number of students = 616
No of teachers = 616/28= 22
Increase in students = 18%
= 18/100*616= 110.88= 111
Total number of students = 616+111= 727
Decrease in teachers = 9%
= 9/100*22= 1.98= 2
New number of teachers= 20
Now Average is 28 students per teacher so
727/28= 25.96= 26 teachers are required for the total number of 727 students. The school has already 20 teachers so they need 6 more teachers.
If a number has no pulse or minus sign, does that mean it’s usually a positive or negative number?
Answers
Answer:
positive
Step-by-step explanation:
Answer:
It means it is usually positive
Step-by-step explanation:
The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)
Find the length of AB if AC = 18 and BC = 7.
Answers
18-7
Answer
AB=11
A polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water. The polar bear dove 6.5 meters from the top of the float into the water to catch a seal. Relative to the surface of the water, which equation best represents how far below the surface the polar bear dove?
Answers
Answer:
Step-by-step explanation:
Let the surface of the water be at 0m
If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:
= 2.5 - 0
= 2.5m
If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:
2.5 + x = 6.5
Subtract 2.5 from both sides
2.5+x -2.5 = 6.5-2.5
x = 4.0m
Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water
if tanΘ =√3 determine all the possible values of Θ such that -2π≤0≤2π
Answers
Answer:
Sure! Can you tell me the digits of pi?
Step-by-step explanation:
Which Is The Correct Classification And Decimal Expansion of 3/8
Answers
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
please help me with this system of equations problem before I go insane the preferable solving methods would be through substitution or elimination
Answers
Answer:
x=8, y=0, z=-3
Step-by-step explanation:
Preferable is substitution because there is less room for mistakes but its long so here goes bare with me on this one :D
Name your equations
4x+2y-5z=47 (first eq)
x-2y+6z=-10 (second eq)
9x-7y-z=75 (third eq)
Lets take the easiest eq to isolate one variable lets take 2nd eq
[tex]x-2y+6z=-10\\x=2y-6z-10[/tex]
now this becomes our fourth eq
now again take the easiest eq to isolate another variable lets take the 3rd eq
[tex]9x-7y-z=75\\9x-7y-75=z[/tex]
now this becomes our fifth eq
and now plug in our fifth eq in the fourth eq because we now have z in terms of x and y
[tex]x=2y-6z-10\\x=2y-6(9x-7y-75)-10\\x=2y-54x+42y+450-10\\x+54x=2y+42y+450-10\\55x=44y+440\\\\x=\frac{44y+440}{55}[/tex]
and now we got our sixth equation which is x only in terms of y.
now we plug in our sixth equation in our fifth eq to get z in terms of y only
[tex]z=9x-7y-75\\\\z=9(\frac{44y+440}{55}) -7y-75\\z=\frac{396y+3960}{55} -7y-75\\z=\frac{396y+3960-385y-4125}{55} \\z=\frac{11y-165}{55}[/tex]
now we have our seventh eq and x &z in terms of just one variable y , now we put equation of z and x which is our sixth eq and seventh eq in our first eq.
[tex]4x+2y-5z=47\\\\4(\frac{44y+440}{55})+2y-5(\frac{11y-165}{55}) =47\\\\\frac{176y+1760}{55} +2y-47=\frac{11y-165}{11} \\\\\frac{176y+1760}{55} -\frac{11y-165}{11} -47=-2y\\\\\frac{176y+1760}{55}-(y-15) -47=-2y\\\\\frac{176y+1760}{55} -y-32=-2y\\\\\\frac{176y+1760}{55}=-2y+y+32 \\\\176y+1760=55(-y+32)\\176y+1760=-55y+1760\\176y-55y=1760-1760\\121y=0\\y=0[/tex]
and now finally we got y=0 now we need the value of x and z, put the value of y=0 in our seventh eq (z equation)
[tex]z=\frac{11y-165}{55} \\\\z=\frac{11(0)-165}{55} \\\\z=\frac{-165}{55}\\\\z=-3[/tex]
and now we put the value of y=0 in our sixth eq (x equation)
[tex]x=\frac{44y+440}{55} \\\\x=\frac{44(0)+440}{55} \\\\x=\frac{440}{55} \\\\x=8[/tex]
and now we got all the three values and hence the solution of the system of equation is
x=8, y=0, z=-3
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answers
Answer:
speed of boat is 35 mph
speed of river is 5mph.
Step-by-step explanation:
Let the speed of boat be u mph
let the speed of river be v mph
When boat travel downstream
in that case flow of river will support the speed of boat hence
speed of river will be added to speed of boat
Thus,
speed of boat in downstream = speed of boat + speed of river = u + v
Given
the boat travels at 40 mph downstream
thus,
u + v = 40 -----1
When boat travel upstream
in that case flow of river will oppose the speed of boat hence
speed of river will be subtracted from speed of boat
Thus,
speed of boat in downstream = speed of boat -speed of river = u - v
Given
the boat travels at 30 mph upstream
thus,
u - v = 30 ----2
adding 1 + 2
we have
u + v = 40
+ u - v = 30
2u = 70
u = 70/2 = 35
Thus,
speed of boat is 35 mph
using u = 35 in u + v = 40
we have
35 + v = 40
v = 40 - 35 = 5
Thus, speed of river is 5mph.
the product of a number and 13 increased by 5 is -12
Answers
Answer:
13x + 5= -12
hope this helps :)
What is 12% of 504 please let me know
Answers
Answer:
504 * 0.12 = 60.48
Step-by-step explanation:
math
Answer:
its 60.48
Step-by-step explanation:
Convert 12% to a decimal which is 0.12
then do the sum 0.12x504
What do I need to put down for these?
Answers
Which two steps will complete the list correctly?
O4. Divide the original measurement by the conversion factors
5. Check for reasonableness.
O4. Multiply the original measure by the conversion factors.
5. Simplify the answer
O4. Multiply the original measure by the conversion factors.
5. Check for reasonableness.
4. Divide the original measure by the conversion factors
5. Sinplify the answer
Answers
Answer:
the 3 one xD
Step-by-step explanation:
i know i am bulted D I F F E R E N T ~(T-T)~
please find the answer, i need this asap!
Answers
Answer:
the correct answer is 2
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
Hi if you can answer this i'll mark u brainllest and give you MORE points
How can you work backward from 1/3 to check the answer when converting 0.3 as a fraction?
Answers
If going backward, here are the steps:
1. Divide. That’s all you gotta do
1/3= 0.333333....
So I hope this helps!
4. What is the solution of the proportion 3 16 = 9 y ?
Answers
answer:
5.33333333333
Why does the author of this
historical fiction story include the
detail that Bass Reeves couldn't
read?
It shows that Reeves could creatively
work around his disadvantages.
It shows that Reeves had no time for
reading books on his travels.
It shows that Reeves faced dangerous situations because of his job.
It shows that Reeves preferred to work
alongside other lawmen
PLEASE HELP I WILL PUT BRAINLIEST
Answers
Answer:
It’s it shows that Reece could work around his disadvantages
Step-by-step explanation:
A bus arrives at Stop A every 14 minutes and a bus arrives at Stop Bevery 20
minutes. Both buses just arrived at their stops. After how many minutes will both
buses stop at the same time again?
A. 70 minutes
B. 60 minutes
C. 140 minutes
D. 280 minutes
*please help, I’ll give you brainliest :)
Answers
Answer:
b or a
Step-by-step explanation:
If bus A arrives after 14 minutes and bus B arrives after 20 minutes, then both buses will arrive at 140 minutes.
Given:
Bus A = 14 minutesBus B = 20 minutesHow to find the Least common multiple(LCM)Find the least common multiple of 14 minutes and 20 minutes
14 minutes = 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280....
20 minutes = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220.....
Therefore, the least common multiple of 14 minutes and 20 minutes is 140 minutes.
Learn more about LCM:
https://brainly.com/question/10749076
for a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each goodie bag will receive an equal share of 54 tickets and 36 posters.
(A) what is the greatest number of goodie bags that can be created? explain your reasoning.
(B) How many of each type of giveaway will be in each bag? Explain your reasoning.
Answers
MY 1st QUESTION, WILL GIVE BRAINILIST!
Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.
Answers
7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.
Answer:
7
Step-by-step explanation:
Well if it's $8 for 4 people then you have to divide to get the rate:
$8/4 = [tex]\frac{2}{person}[/tex]
now you can divide the disired amount to get the number of people:
$14/ [tex]\frac{2}{person}[/tex] = 7 people
Anyone help me out plz show work I need it now anyone!!
Answers
Answer:
3x2 - x + 10 when x=-4 plug in -4 for x 3(-4)^2 -(-4)+10
3(16)+4+10
3x16= 48
48+4+10= 62
Suzie's work is incorrect because of her negative distributions
Step-by-step explanation: