y = kx
Replace y and x to solve for k:
72 = 3k
Divide both sides by 3:
k = 24
Now replace k with 24:
y = 24x
The proportionality constant [tex]k=\frac{1}{24}[/tex], and the equation that relates [tex]x[/tex] and [tex]y[/tex] is [tex]x=\frac{1}{24}y\text{ or } y=24x[/tex]
Since [tex]x[/tex] and [tex]y[/tex] are related by direct proportion,
[tex]x \text{ }{\displaystyle \propto}\text{ }y \implies x=ky[/tex]
where [tex]k[/tex] is our proportionality constant. To find the value of [tex]k[/tex], substitute the values [tex]x=3\text{ and } y=72[/tex] into the formula, and solve for [tex]k[/tex].
[tex]x=ky\\\implies 3=72k\\\implies k=\frac{1}{24}[/tex]
Thus the equation that relates [tex]x[/tex] and [tex]y[/tex] is
[tex]x=\frac{1}{24}y\text{ or } y=24x[/tex]
Learn more about direct proportion here: https://brainly.com/question/908424
Write 0.83838383 as a simplified fraction
answer:83838383/100000000
Bree takes 4.75 minutes to bike around the block how long does it take Bree to bike 11 times around the block?
Answer:
52.25 minutes
Step-by-step explanation:
4.75 * 11 is 52.25
Answer:
52.25
Step-by-step explanation:
Becasue 11 times 4.75 equals 52.25
Divide: 3/4 divided by 2/5
2 and 1/5
3 and 3/4
2 and 3/5
1 and 7/8
Answer:
1 and 7/8
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]
When dividing you have to flip the second number. When the fraction/number flips the problem will turn into multiplication.
[tex]\frac{3}{4}[/tex] × [tex]\frac{5}{2}[/tex]
Now just multiply them. 3×5 and 4×2
[tex]\frac{15}{8}[/tex]
Simplify the fraction
[tex]1\frac{7}{8}[/tex]
I hope this helps!
Hi everyone this is the last question can you please help me for brainliest
which of the following is the ratio of boys to girls in tamir's math class?
12/27
12/15
15/12
27/12
Answer:
12/15
Step-by-step explanation:
you put the number of boys over the number of girls
sometimes you can simplfy but it looks like the answer choice doens't want you too
90 is what percent of 150
Answer:
60%
Step-by-step explanation:
Help Help Help Help Brainly please... If you were to plan a mission to Mars, what are the key phases that you need to include in your mission?
Answer:
1. Determine the Mission Objective. A mission objective has to be clear, measurable, and believable.
2. Identify the Threats. ...
3. Identify Your Available Resources. ...
4. Evaluate the Lessons Learned. ...
5. Determine Courses of Action/Tactics. ...
6. Plan for Contingencies.
What is the solution for -10 -19
A.)x > -19
B.)x -1
Answer:A
Step-by-step explanation:positive is bigger then negative.
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.
A. Yes, she is correct.
B. No, the exponent should be positive 8.
C. No, she multiplied the exponents instead of adding them.
D. No, she multiplied the exponents instead of subtracting them.
Answer:
C
Step-by-step explanation:
No, she multiplied the exponents instead of adding them.
Nicky and his parents recently Immigrated to the United States from Syria. Nicky attends school and is having a hard
time learning about his new country. His parents are interested in what happens in their community as well. Which
feature of national Identity is likely to make it hard for them to feel a part of the United States?
Language
innovation
competition
form of government
Answer:
Language
Step-by-step explanation:
Nicky is having a hard time with school - competition and form of government may be eliminated.
On his way to the library , Jeff runs two blocks and then walks three more blocks.Sketch a graph to show the distance Jeff travels compared to time.
Answer:
Since I can't take a picture, I am going to explain how to draw it.
Step-by-step explanation:
When sketching the graph you must note if jeff is going up the y-axis and along the x-axis. In this case, run means he goes up every minute. So when jeff runs he is going up and 2 minutes have gone by. And when he walks he is going up 3 more but slower so it would double the time. Time would be on the x-axis and blocks would be labeled on the y-axis.
Hope this helps. : )
Please help ASAP with these problems!
Prove that: (12^13-12^12+12^11)(11^9-11^8+11^7) is divisible by 3, 7, 19, and 37. _ times 3 times 7 times 19 times 37
Factor completely: (4x^a+2)+20x^a
Factor completely: (15x^2c+3)-(25x^c+1)
Answer:
HUH
Step-by-step explanation:
For 20 points, Round each mixed number to the nearest whole number. Then, estimate the quotient. 24 16/17 devided by 4 8/9
Answer:
you would round up because 24 16/17 is closer to 25 and 4 8/9 is closer to 5.
which would be 25/5 which estimates to 5.
Step-by-step explanation:
wich inequality is true?
Answer:
Step-by-step explanation:
just put them into percents lol
50% < 33.33% not true
75% > 66.66% true
-25% < -66.66% not true
-100% > 75% not true
so the second one is true
hope this helps <3
plssssssssssssss help
What are the 7 & 9 for? Obviously, you had info from somewhere else for the 9 & 7 if they are THE ONLY NUMBERS here
Malik collects rare stamps and has a total of 96 stamps. He has 24 more domestic stamps than foreign stamps. Let d represent the number of domestic stamps and let f represent the number of foreign stamps.
This system of equations models the given information for both stamp types.
d – f = 24
d + f = 96
Solve the system of equations.
How many foreign stamps does Malik have?
number of foreign stamps
How many domestic stamps does Malik have?
number of domestic stamps
Answer:
Domestic Stamps: 60
Foreign Stamps: 36
Step-by-step explanation:
96 - 24 = 72
72 ÷ 2 = 36
36 + 24 = 60
d - f = 24
60 - 36 = 24
24 = 24
d + f = 96
60 + 36 = 96
96 = 96
I really don't even remember learning this... PLEASE HELP. :) politely
I kind of already filled out some answer, please tell me if their wrong.
Answer:
Car C is going to have a constant of 55
Step-by-step explanation:
y=55x
y means that every hour you will have 55 miles
Jordan plotted the graph below to show the relationship between the temperature of his city and the number of cups of hot chocolate he sold daily (shown in the picture)
Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.
Answer:
I would draw a line from (40,20) to (80,8)
Step-by-step explanation:(40,2) is an outlier, so I wont use that. I am roughly estimating that it I were to draw line from those points, It would have about the same number of dots above and below the line which tells me it is a line of best fit. Slope would be about -3 every 10 temperature climb.
put 2/3 5/7 16/21 in order from least to greatest
Answer:
5/7, 2/3, and 16/21
Step-by-step explanation:
If you put them all under the same denominator you will get 2/3=14/21, 5/7= 10/21, and 16/21. And if you put them in order it is 10/21, 14/21, and 16/21. Hope this helps, let me know if correct!!
2/3, 5/7, 16/21
Step-by-step explanation:
turn them into decimals
HELP ME! 1/2h=17+2 solve for h.
Answer:
H=38
Step-by-step explanation:
in mrs. smiths class every time you turn in assignments you earn 1 homework pass. write 3 equivalent ratios of turned in assignments to homework passes
help please I need it
Answer:
Assignment to Homework: 3:9 4:12 5:15
Answer:
3:9 4:12 5:15
i think
Step-by-step explanation:
A cardboard box has a volume that is 6,336 cubic inches. A company creates a new design with the same proportions, but instead the dimensions are One-fourth the dimensions. Explain how you can find the volume of the new design without knowing the dimensions.
Answer:
Cube the scale factor 0.25. Then multiply the volume of the box by 0.015625.
Answer:
Since the dimensions have a proportional relationship, the new volume can be calculated using the original volume and the scale factor. The new volume will be the cube of the change, which is 1
64
. The new volume is the product of 6,336 and 1
64
.
Step-by-step explanation:
that is the sample answer.
Rewrite the rational exponent as a radical expression (3 raised to 2/3) 1/6
PLEASE CAN SOMEONE ANSWER THIS
y=8.2x+459=
Fill in the blanks for each statement.
how much shaved ice was used to make the lemon ice cone, assuming the cone is completely full?
(A) The amount of shaved ice inside the cone is
______ π cubic inches.
(B) The amount of shaved ice on top of the cone is
______ π cubic inches.
(C) The total amount of shaved ice used to make the cone is
______ π cubic inches.
Answer:
(A) The amount of shaved ice inside the cone is 2.625π cubic inches.
(B) The amount of shaved ice on top of the cone is 2.25π cubic inches
(C) The total amount of shaved ice used to make the cone is 4.875π cubic inches.
Step-by-step explanation: I got the answers wrong on Time4Learning, Then it told me the correct answers. I hope this can help someone else get it correct!
The amount of shaved ice inside the cone and on top of the cone is 2.625 π and 2.25 π cubic inches. Then The total amount of shaved ice used to make the cone is 4.875 π cubic inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Ice cream is the combination of the cone and hemisphere.
Height of cone (h) = 3.5 in
Radius of come and hemisphere (r) = 1.5 in
(A) The amount of shaved ice inside the cone will be
[tex]\rm Volume\ of \ cone = \dfrac{1}{3} \pi r^2 h \\\\Volume\ of \ cone = \dfrac{1}{3} \pi 1.5^2 * 3.5\\\\Volume\ of \ cone = 2.625 \ \pi[/tex]
The amount of shaved ice inside the cone is 2.625 π cubic inches.
(B) The amount of shaved ice on top of the cone will be
[tex]\rm Volume\ of \ hemisphere= \dfrac{2}{3} \pi r^3 \\\\Volume\ of \ hemisphere= \dfrac{2}{3} \pi 1.5^3\\\\Volume\ of \ hemisphere= 2.25 \ \pi[/tex]
The amount of shaved ice on top of the cone is 2.25 π cubic inches.
(C) The total amount of shaved ice used to make the cone will be
[tex]\rm Total\ amount = Volume\ of \ hemisphere + Volume\ of \ cone\\\\Total\ amount = 2.625+ 2.25 \\\\Total\ amount = 4.875[/tex]
The total amount of shaved ice used to make the cone is 4.875 π cubic inches.
More about the geometry link is given below.
https://brainly.com/question/7558603
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.
Answer:
Function A and the equation would be y = 1.6666666666~x + 0
Step-by-step explanation:
A linear function is a function that is a straight line with no change so function B does not fit that description. So than it has to be A
To find the equation you first what to find the slope of the line
ΔY/ΔX = 5/3 = 1.666666666666
Take the slope and multiply it by x to get y
Following are the solution to the given function:
Given:
Function A:
[tex]\bold{x} \ 3 \ 6 \ 9 \ 12 \ 15 \\\\\bold{y} \ 5 \ 10 \ 15 \ 20 \ 25[/tex]
To find:
Find the function=?
Solution:
Function A or equation would've been [tex]\bold{y = 1.6666666666 \sim x + 0}[/tex].The linear equation is a straight line with really no modification, hence function B doesn't suit its description. As a result, it has to be A.You must first calculate the slope of the line to solve this equation.[tex]\bold{\to \frac{\Delta Y}{ \Delta X} = 5/3 = 1.666666666666}[/tex]To get y, take the slope then multiply this by x.Which number has only two factors?
A 21
B 27
C 25
D 23
please help-
Answer:
23
Step-by-step explanation:
Help Help Help Help...What does it take for an orbiting spacecraft to escape its orbit?
Answer:
Manual Override??
Step-by-step explanation: I'm prop wrong
Answer:
To leave its orbit, the spacecraft must go very fast to break free of gravity.
Step-by-step explanation:
PLS HELP DUE SOON!!!!!
Answer:
1) 2
2) y=2x+=-2
3) a=5
b=6
4) y=2x-2
y=(2*0)-2
y=0-2
y=-2
I'm not sure if they are all right
Sorry if they aren't
Question below!!!!!!!!!!!!!
Answer:
A because they 35 needs to stay with 100 and x needs to stay with 275 and 100 and 275 have to be on the same part of the ratio
Step-by-step explanation:
