y varies directly with x. y is 84 when x is 16. What is the constant of proportionality? (Write answer as improper fraction...Remember to reduce!)

Answers

Answer 1

Answer: 5 1/4

Step-by-step explanation:

We use the formula for direct proportion to solve the question since we are informed that y varies directly with x and that y is 84 when x is 16.

The formula will be:

y = kx

where,

y = 84

x = 16

We then slot the values into the formula

y = kx

84 = 16k

k = 84/16

k = 5 1/4

The constant of proportionality is 5 1/4


Related Questions

Write an equation for this: Forty-five more than 0.3 times a number is the same as 33 less than the product of -7.5 and the number.

Answers

Answer:

45 + 3 x n = -7.5 x n - 33

Step-by-step explanation:

(The x means times, NOT a variable)

(The n is the number that we don't know of, the variable)

Hope this helps!!

BRAINLIEST nvbfnytkuyguhmghmbfkuiyjyg

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Answer:

jsb rgb sbhdbsbdjsbhd dnejsbbdjsbsnebdjbdbsbdnsnsnsndndn

JDJDJDJFJFJFJNFJFKF

If h is in the interior of

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Answer:

i don't understand the question? what are you trying to say

Step-by-step explanation:

-3 = -15 -2(0 - 1) - 30

Answers

Answer:

Is there's supposed to be x or somethin... well I got  -40

Step-by-step explanation:

-3=-15 - 0+ 2 - 30

-3=-15+2-30

-3=-45+2

-3=-43

+3   +3

___________-

0=-40

Hope this helps :D

Can anyone help me please

Answers

Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

help with 19 and 20!!!

Answers

Right angle is correct sorry I’m late

write your best pick up line rn go. the best answer gets the brainiest you have one hour.

Answers

Answer: Are you google? because you have everything im looking for

Step-by-step explanation:

There is something wrong with my cell phone. It doesn't have your number in it.

I must be a snowflake, because I've fallen for you.

I must be in a museum, because you truly are a work of art.

Do you believe in love at first sight—or should I walk by again?

I'm no photographer, but I can picture us together.

Are you a bank loan? Because you got my interest.

Are you a time traveler? Cause I see you in my future!

Cecily’s teacher held a raffle. To win the raffle, a student has to pick a paper scroll with an integer written on it. The chart shows the scrolls picked by Cecily and her friends. Name Paper Scroll( Cecily A scroll labeled 6.7. Marty A scroll labeled negative 37. Jon A scroll labeled StartFraction 7 Over 9 EndFraction Fiona A scroll labeled 3 and one-third).

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:


What is the value of x in the equation

Answers

Answer:varible

Step-by-step explanation:

Which situation describes a car that can travel 40 miles per gallon of gasoline?
A
A car can travel 2 miles on 80 gallons of gasoline.
B
A car can travel 42 miles on 2 gallons of gasoline.
C
A car can travel 80 miles on 2 gallons of gasoline.
D A car can travel 80 miles on 40 gallons of gasoline.

Answers

Answer:

A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

40:1

80/40= 2

80:2

Answer:

C

Step-by-step explanation:

if each 40 miles is 1 gallon of gasoline that means in 80 miles you will have used 2 gallons of gasoline

Emma decided to bake cookies. Her recipe called for 3 cups of sugar and 4 cups of chocolate chips for 2 batches of cookies. If she made 12 batches of cookies, how many cups of chocolate chips does Emma need?

Answers

Answer:

24 cups of chocolate chips

Step-by-step explanation:

Since this is a proportion problem and there is only one variable that needs to be found we can use the Rule of three to solve this problem. To do this we simply divide the diagonal values by the last value which would ultimately give us the value of the variable in question, like so...

4 cups of chocolate chips  <=======> 2 batches of cookies

x cups of chocolate chips  <=======> 12 batches of cookies

(4 * 12) / 2 = 24 cups of chocolate chips

Therefore, we can now see that we would need a total of 24 cups of chocolate chips to make the 12 batches of cookies.

Solve for 1/3(8x-5)-4=-3

Answers

Let's solve your equation step-by-step.

13(8x−5)−4=−3

Step 1: Simplify both sides of the equation.

13(8x−5)−4=−3

(13)(8x)+(13)(−5)+−4=−3 (Distribute)

83x+−53+−4=−3

(83x)+(−53+−4)=−3 (Combine Like Terms)

83x+−173=−3

83x+−173=−3

Step 2: Add 17/3 to both sides.

83x+−173+173=−3+173

83x=83

Step 3: Multiply both sides by 3/8.

(38)*(83x)=(38)*(83)

X = 1

Answer: x = 1

Step-by-step explanation

−3/8 ÷ 7/12
−0.75 ÷ 0.03
Please help asap!!!

Answers

-3/8÷7/12 = -9/14

-0.75÷0.03 = -25

The distance between two train stops is 160 miles the train will travel 3/4 miles per minute how long will it take the train to reach it's destination

Answers

Answer:

3hours 55 minute

Step-by-step explanation:

Step one:

Given data

distance= 160miles

velocity = 3/4 miles per minutes

Step two:

Required:

time

we know that velocity is

v=distance/time

times= distance/velocity

time=160/3/4

time= 160*4/3

time=640/3

time=213.33333minuts

Time= 3hours 55 minute

Time taken to cover distance is 213.33 seconds.

Speed, Time and Distance:

Given that;

Distance between two bus stop = 160 miles

Speed of train = 3/4 miles per minute = 0.75 miles per minute

Find:

Time taken to cover distance

Computation:

Time = Distance / Speed

Time taken to cover distance = 160 / 0.75

Time taken to cover distance = 213.33 seconds

Find out more information about 'Speed':

https://brainly.com/question/7359669?referrer=searchResults

Please helpppppp, I’m so confused:(((

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What are some steps you might take after coming to a solution? Check all
that apply
O A. Double-check that your answer satisfies the equation,
B. Write down the facts,
I c. Create a logical name for the variable,
ID. Present your answer with units.
I E. Draw a diagram
E Gather your resources,

Answers

Answer:

A and B and E

Step-by-step explanation:

because u always double check

Answer:

A and D

Step-by-step explanation:

I guess it depends on what kind of math you're doing but in general I would say these two at least. No matter what kind of math you're doing you should always double check your answer and make sure it has the correct units with it.

what is the value of b

Answers

Answer:

Step-by-step explanation:

2b=80º+50º

2b=130º

b=130º/2

b=65º

the answer is b equals 65°

HELP WILL GIVE BRAIN

Answers

Answer:

The 3rd choice

Step-by-step explanation:

Answer:

3 times 15 = 9x

Step-by-step explanation:

because when you cross multiply 3 is with 15 and 9 with x

A scientist is studying the growth of a radicus plant. The plant has an initial height of 20cm and grows at a rate of 4% monthly. Part A: Write an equation to model the growth of the plant. Part B: Find the height of the plant after 5 months.

Answers

Step-by-step explanation:

A) Given the initial height of plant = 20cm

Percent increase monthly = 4%

increment after x month = (4% of 20)x

increment after x month = (0.04*20)x

increment after x month = 0.8x

The height after x month = initial height + increment

The height after x month = 20 + 0.8x

Hence an equation that model the growth of the plant is 20+0.8x

B) To get the height of the plant after 5 months, we will substitute x = 5 into the modeled equation in A as shown;

H(x) = 20+0.8x

H(5) = 20 +0.8(5)

H(5) = 20+4

H(5) = 24cm

hence the height of the plant after 5minths is 24cm

solve the equation -6-6x-4x-3x

Answers

Answer:

big boi11

Step-by-step explanation:

-13x-6 add all the like terms and put the variables in front of equations

H E L P m e P L E A S EEEEE

Answers

Since a pizza is in shape of a circle. A circle is 360 degrees around, so if you divide this by the amount of pizza pieces.
360 degrees divided by 6 will equal 60 degrees.
Therefore, the pizza’s rotational symmetry is 60 degrees.

I hope this helps :)

Will give BRAINIEST

Water runs from a hose into a bucket at a steady rate. The amount of water in the bucket for the time it is being filled is shown in the graph. “There are ____ gallons in the bucket after ____ seconds.”

Answers

Answer:

5 seconds 12 gallons of water

Step-by-step explanation:

since 5 equals 12 ur gonna divide the 12 into 3 split in in hakves then it will get u to 6 ow with 6 divide by 7 then aadd 8 the 8 will round up to 10 then 10 u have to split so thats 5 then 5 is gonna go intpo 9 then 9 will be divided into 7 so 9 divided by 7 is 1 2/7 now u take that and divide by 2 which is 0.2 then add 50 then subtract 50 then youll gett .2 then minus the 2 then u get 0.

The graph is the diagrammatic representation of a function thus the amount of water at the end of filling or at time 12 seconds is 5 gallons.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example, y = x² forms a parabola now by looking at only the graph we can predict the behavior of the function.

As per the given graph of the amount of water and time.

The graph is linear showing a steady rate.

The graph is finishing at the extreme right at coordinate (12,5) where 12 seconds and 5 are gallons.

So, at the end of the filling, the time taken is 12 seconds and the amount of water is 5 gallons.

Hence "The graph is the diagrammatic representation of a function thus the amount of water at the end of filling or at time 12 seconds is 5 gallons".

To learn more about graphs,

brainly.com/question/16608196

#SPJ2

In the real-world, humans hear sound as an analog signal. This means the signal
waveform, which is completely processable by human ears. However, machines 'hear' sound a little
differently, as they process sound digitally, which is a discrete waveform.
When sound is recorded or transmitted electronically, the continuous (analog) waveform is sampled to
convert it to a discrete (digital) sequence. Sampling is the process of reducing a continuous-time signal
to a discrete-time signal. As the sampling rate increases, the sound quality of the recording or
transmission will improve.
The graphs below represent two different samples of a pure tone. Sample 1 is taken 8 times per unit of
time. Sample 2 is taken 16 times per unit of time.

Answers

Answer: I hope i can help you guys unlike the other guy

Sample 2 would reproduce a better replication of the pure signal because it records more frequently, meaning that it would be closer to being a continuous waveform when compared to sample 1.

Step-by-step explanation:

Sample two has more double more the points compared to sample 1. Sample is closer to being a continuous wave form instead of a discrete waveform when compared to sample 1. The more points a graph has, the more accurate.

18 more than twice a number is 8

Answers

Answer:

huh

Step-by-step explanation:

wait what you talk about

PLEASE HELP ME ASAP?!?!:(
What is the midpoint of the segment below?

Answers

A. (0.5, -0.5) is the midpoint

A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°.

Which statements are true regarding the transformation? Select three options.

The rule for the transformation is (x, y) → (–x, –y).
The coordinates of L' are (–2,–2).
The coordinates of M' are (–4,4).
The coordinates of N' are (6,–1).
The coordinates of N' are (–1,–6).

Answers

Answer:

A,B,E

Step-by-step explanation:

I took the test on edge

The statements that are true regarding the transformation are:

The rule for the transformation is (x, y) → (–x, –y).

The coordinates of L' are (–2,–2).

The coordinates of N' are (–1,–6).

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A rotation of a point on the coordinate system for 180 degrees about the origin results is,

⇒ (x, y) → (-x, -y).

Given that;

The coordinate of L is (2, 2),

Then, the coordinates of L' is (-2, -2).

And, the coordinates of N is (1, 6),

then the coordinate of N' is, (-1. -6)

Therefore, the statements that are true regarding the transformation are:

The rule for the transformation is (x, y) → (–x, –y).

The coordinates of L' are (–2,–2).

The coordinates of N' are (–1,–6).

Learn more about the transformation visit:

https://brainly.com/question/30097107

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The scores of nine students in a math
class were 74, 96, 75, 43, 100, 89,
62, 85 and 52. Find the range and
median of the scores.

Answers

Answer:

Median = 75

Range = 57

Step-by-step explanation:

Answer:

Median =75. and

Range =52

Step-by-step explanation:

have a good day!

Pls I need help !!!!!!!!

Answers

Answer:

sorry man dont know im too dumb

Step-by-step explanation:

I need help with number 3 it would be awesome if someone could help me

Answers

Answer:

The slope is 40

Step-by-step explanation:

This means that for every 1 minute, they are typing another 40 words.

Which statements are correct? Check all that apply. The total number of students is < 160. The total number of students is > 160. The percent as a part-to-whole ratio is StartFraction 10 Over 100 EndFraction. The percent as a part-to-whole ratio is StartFraction 160 Over 100 EndFraction There are 1,600 students in the school. There are 250 students in the school.

Answers

Answer:

The percent as a part to whole ratio is Start Fraction 10 over 100 end fraction

The percent as a part to whole ratio is start fraction 160 over 100 end fraction.

There are 250 students in the school

Step-by-step explanation:

In the Juniour park school there are 160 students and out of these only 10 percent students play musical instruments. The fraction are start with 10 and end 100 is the correct. The ration of the students playing the musical instruments is 10 percents.

Answer:

B C E

Step-by-step explanation:

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