If y varies directly with x, given x = 4 and y = 8. What is the value of k (constant of proportionality)?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

If y y varies directly with x, this is expressed as;

y ∝ x

y = kx

k is the constant of proportionality;

Given

x = 4 and y = 8

Substitute;

8 = 4k

4k = 8

k = 8/4

k = 2

Hence the constant of proportionality k is 2


Related Questions

In what quadrant is the point (5, −8) located?
A) I
B) II
C) III
D) IV

Answers

Answer:

c) third quadrant

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the quadrants are labeled left to right. Comment if u have any questions :)


PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP



















A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?

A)
2 pounds

B)
30 pounds

c)
50 pounds

D)
60 pounds

Answers

Answer:

it is c

Step-by-step explanation:

The answer is definitely c

What is the volume of the cone?

A 4,625.36 yd
B. 2,876.7 yd
C. 4,258.44 yd
D. 2,787.64 yd​

Answers

9514 1404 393

Answer:

  D.  2,787.64 yd​

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²·h

The radius (r) is half the diameter, so is (22 yd)/2 = 11 yd. Putting the given values into the formula, we have ...

  V = (1/3)π(11 yd)²(22 yd) = 887.333π yd³ ≈ 2787.64 yd³ . . . . matches D

4 2/3 4 1/4 5/12 least to greatest

Answers

4 1/4, 4 5/12, 4 2/3. Not sure if there is suppose to be a 4 in front of the 5/12 but if there is this is how it should be ordered

Answer:

5/12, 4 1/4, 4 2/3

Step-by-step explanation:

Change your fractions so they all have a common denominator.

A common denominator is 12, so 5/12 stays as is, 4 1/4 changes to 4 3/12,

and 4 2/3 changes to 4 8/12.

So,      5/12 = 5/12

      4 1/4.     = 4 3/12

       4 2/3     = 4 8/12

6. Solve 9x^2 + 12x - 24 = 0 using the quadratic formula.
A. X= 4, -7
B.x=7, -1
C.x=-2±2√7/3
D.x=9+√613/2

Answers

Answer:

in quadratic formula my answer came out to -2±2√7/3

Step-by-step explanation:

Write an equation of the line that pass through the given point and is (a) parallel and (b) perpendicular to the given line.

Answers

The answer is ( 2 , 2 )

Answer:

Step-by-step explanation:

Here we need to write the equations that passes through the point (4 , 3) and is parallel to the given line and perpendicular to it. So lets get started,

a)

First we calculate the slope of the given line by using any two points on the given line by the help of the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

we take the points (1 , 6) and (2 , 2) i chose these two you can choose any other two doesn't matter so now we calculate the slope,

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-6}{2-1}\\\\m=\frac{-4}{1}\\\\m=-4[/tex]

now since our slope is -4 and the line is parallel to the given line so the line that we need in part a would also have the same slope by the law parallel lines have same slope/gradient.

[tex]m_1=m_2[/tex]

so the slope/gradient of our new line that we need which passes through the point (4,3) is -4

Now using the point slope form formula:

[tex]y-y_1=m(x-x_1)[/tex]

we have our point (4,3) which corresponds to [tex](x_1,y_1)[/tex] and m which corresponds to -4 , so now

[tex]y-y_1=m(x-x_1)\\y-3=-4(x-4)\\y-3=-4x+16\\y=-4x+19[/tex]

sow our new line in part a is

[tex]y=-4x+19[/tex]

b)

In this part we need a line that is perpendicular to the given line which means we use the formula to calculate the slope of the perpendicular line which is:

[tex]m_1m_2=-1[/tex]

where [tex]m_1=-4[/tex] the slope of our given line so the slope of the perpendicular line is,

[tex]m_1m_2=-1\\-4m_2=-1\\\\m_2=\frac{1}{4}[/tex]

so using the point (4,3) and the new slope 1/4 we find the equation of the perpendicular line again by using the point-slope form formula:

[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x-4)\\\\4y-12=x-4 \\4y=x+8\\\\y=\frac{x+8}{4}\\\\y=\frac{x}{4}+2[/tex]

I have attached of the graphs as well you can check it out for better understanding.

If joe travels 37 miles in 30 minutes, how far can he travel in 4 hours?

Answers

Answer:

296 miles

Step-by-step explanation:

4 hours=240 minutes

240/30=8

37*8=296

Answer:

Joe travels 296 miles in 4 hours.

Step-by-step explanation:

How many minutes in an hour? 60.

How many minutes in 4 hours then? 60 * 4 = 240 minutes

Now take 240 minutes and divide it by 30. You get 8, this is what you need to multiply 37 by.

37 * 8 = 296.

Therefore, Joe travels 296 miles in 4 hours.

Question 2 of 39

Look at this series: 56, 54, 50, 38, 34, ... What number should come next?

A) 23

B) 18

C) 20

D) 32

E) 26

Answers

Answer:

D) 32

Step-by-step explanation:

Given;

series: 56, 54, 50, 38, 34, ....

find the difference between successive numbers;

56         54        50             38            34             x

     2            4             12              4             2            

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2.

The next number "x" is calculated as;

34 - 2  = x

34 - 2 = x

32 = x

Therefore, the next number should be 32.

The next number that should come next in the series is 32.

Sequence is an arrangement of two or more things in a successive order.  Series is the cumulative sum of a given sequence of terms.

Given the numbers in the series: 56, 54, 50, 38, 34, . . ..

The difference is 2, 4, 12, 4, 2

The highest difference between the numbers is  12, after which it decreases to 4 and finally back 2. Hence:

The next number = 34 - 2 = 32

The next number that should come next in the series is 32.

Find out more on series at: https://brainly.com/question/13171394

this is geometry please

Answers

Step-by-step explanation:

y = 7/4 X

...... ... ... ...

Which of the following statements is needed in order to prove these triangles are congruent using SAS?

BCA EFD
AC DF
BC EF
ABC DEF

Answers

Answer:

ABC Def is ure perfect answer

To prove these triangles are congruent using SAS is ∠ ABC ≅ ∠ DEF. Hence, option D is correct.

What is an angle?

When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.

Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.

As per the side angle side rule, the correct way to prove that the triangles are congruent is ∠ ABC ≅ ∠ DEF. Therefore, option D is correct.

To know more about an angle:

https://brainly.com/question/28451077

#SPJ5

Guys can you please help me ?!!!!!!):

Answers

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

This is urgent PLEASE help me

Answers

Answer:

at -6

Step-by-step explanation:

hope that help

Help pls 4=36÷____________

Answers

Answer:

9

Step-by-step explanation:

36 ÷ 4 = 9

36 ÷ 9 = 4

Answer:

9

Step-by-step explanation:

What is 10- 6 1/2? long way

Answers

Answer:

3 1/2

Step-by-step explanation:

10-6 1/2

20/2 -6 1/2

20/2- 13/2= 7/2

7/2= 3 1/2

Answer:

[tex]\frac{20}{2\\} \\[/tex] - [tex]\frac{13}{2}[/tex] = [tex]\frac{7}{2}[/tex]  or 3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

make the denominator the same.

so

10*2= 10 so

[tex]\frac{20}{2\\} \\[/tex]

then 6*2= 12+1= 13 so

[tex]\frac{13}{2}[/tex]

20-13= 7

so now

[tex]\frac{7}{2}[/tex]  which is equal to 3[tex]\frac{1}{2}[/tex]

Hope this helps! (ノ◕ヮ◕)ノ*:・゚✧\

Have a nice day!! ( ゚д゚)つ Bye

Mark was remodeling his house. He took 26 2/3 square feet from 3 different rooms. What was the average change in square footage per room?


-9/80

-80

-26 2/9

-8 8/9





Please help!

Answers

Answer: 8 8/9

Step-by-step explanation:

From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.

The average change in square footage per room will be calculated as:

= 26 2/3 ÷ 3

= 80/3 × 1/3

= 80/9

= 8 8/9

Therefore, the answer is D.

Question is in pic
Answer it
Thank you :D​

Answers

Answer:

y = 6x + 4Rs. 94

Step-by-step explanation:

Equation for this case is:

⇒ y = 6(x - 1) + 10     as Rs. 10 for the first km and Rs. 6 for the rest (x - 1) km

⇒ y = 6x - 6 + 10      simplifying

⇒ y = 6x + 4             final equation

For x = 15 km we have total of:

y = 6*15 + 4 = 94

Mackenzie has a 30 ounce soft drink. She drinks 28 ounces. Enter the percentage of ounces Mackenzie has left of her soft drink. Round your answer to the nearest hundredth.

Answers

Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

If you can help me with this whole thing i will be forever in your dept
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.

How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?

Answer the questions to solve this problem using a system of equations.

1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.


Write your answer in the space below.















2. Write an equation to represent the number of pages Jesse has read.

Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.


Write your answer in the space below.















3. Write the system of equations using your answers from questions 1 and 2.


Write your answer in the space below.















4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.


Write your answer in the space below.















5. Solve the system of equations. Show your work.


Write your answer in the space below.















6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?


Write your answer in the space below.

Answers

Answer:

Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

Step-by-step explanation:

Answer: dude above me copied

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

PLEASE HELP!!
finding square roots of negative numbers

show your work

1-) V-18

2-) 2V-16

Answers

Answer:

Work shown below!

Step-by-step explanation:

[tex]\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}[/tex]

[tex]2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i[/tex]

4. What is the value of the expression |-31|+|-9|?
F. -40
G. -22
H. 29
I. 40
some on help me again plsss

Answers

Answer:

40

Step-by-step explanation:

because if its between the lines and its negitive and you change it to positive then it well be 31 +9

what is 0.5 of 7 or 0.5 x 7

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

I think itis 3.5 please mark brainlest if I am right

Step-by-step explanation:

A math tutor makes $12 an hour for the first 40 hours worked

Answers

480 bucks:D :DmD there you go
480 dollars cuz 12 time left 40 is 480

Write the following statement as a mathematical expression.

Let x be a number.



The quotient of two and a number, subtracted from seventeen

Answers

Answer:

17 - (2 / x)

Step-by-step explanation:

because it is being subtracted from 17. that goes first, and then x is being divided by 2.

Hope this helps!

Answer:

17 - (2 / x)

Step-by-step explanation:

i just did it and got a 100%

What is the sum of 650÷1.6​

Answers

650/1.6 is equal to 406.25

who wants to play rocket league with me

I'm gold3 so sry​

Answers

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

DEF JIH

Someone help me please

Answers

Answer:

ED is congruent to IH

ED is congruent to IH

A package of dried fruit weighs 1/2 of a pound. If one serving size is 1/8 of a pound, how many servings would be in the package?

Answers

Answer:

4

Step-by-step explanation:

1/2 / by 1/8 = 4.

1/8 * 4 =1/2.

You can name a plane with 3 Collinear points

True or False??

Answers


A plane is a flat surface that extends infinitely in all directions. A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. ... For example, the plane in the diagram below could be named either plane ABC or plane P .

Monique swims 40 laps in 20 minutes. Which ratio shows the number of laps per minute she can swim?

Answers

40:20 that is the correct answer

Answer:

The answer is 2:1

Step-by-step explanation:

Hope that helps. :)

Can you mark me brainliest

help me pleaseeeeeeeeeeee

Answers

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

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On the island of Hawaii, Keanu notices that the sand on the beach is black, the same color as the rock formations on the island. Keanu realizes the sand used to be part of the rock formations. How did material from the rock formations turn into sand?aRays from the sun shone down on the rock, and it broke into pieces.bIf anything were left out for a long time, it would break into small pieces.cThe sand was formed by earthquakes, tsunamis, and other natural disasters. These disasters were strong enough to break the rock into small pieces.dWind and rain interacted with the rock, breaking it into small pieces. what is the slope of (-4,-6) (2,-4) Ninas dog weighed 23.54 pounds last year. This year, her dog weighs 25.38 pounds. How many pounds did her dog gain this past year? PLS HELP ME!!!!!!!!! Click the photo to solve The Panama Canal connects the Ocean to the Atlantic Ocean. True or false What was one impact of the increased western population on the nation? O Food had to be imported because there was not enough available land to support the population. O Territories were given powers equal to states. O Increased taxes brought a surplus to the federal government. O Colorado, the Dakotas, and other territories became states. What is the difference between chloroplast and mitochondria. URGENT. WILL MARK BRAINLIEST! determine the domain on the following graph help me. please math glucose is a simple sugar. what is the chemical formula of glucose? Centripetal forces are always directed toward the (center, outside) of a circle. For Christmas your boss gives you a $1,500 bonus. You were not expecting the money, so you decide you want to invest it. What kind of account be the best choice for you: Checking, Savings, Money Market or Certificate of Deposit? Explain your reason for your answer Dialect can be defined asA. The author's attitude towards a subjectB. An extreme exaggerationC. A comparison using like or asD. The language used by the people of a specific area. Allows us to hear the characters Please help thanks so much What is the correct way to reach a decision regarding a hypothesis test based on a confidence interval ASAP Find the slope of The ordered pairs (0,-17),(2,13) Which point of view is characterized by the narrator knowing the thoughts, beliefs, and feelings of only one character?A second-personB third-person omniscientC first-personD third-person limited There are 11 students running a relay race that is 2 mi long. Each student runs approximately 211 mi. The course has a marker every 0.1 mi. Between which two markers does the second student finish. Between the start and the first marker.Between the first marker and the second marker.Between the second marker and the third marker.Between the third marker and the fourth marker.Between the fourth marker and the fifth marker. For every 3 days of vacation, Farah packs 4 outfits.Which of the following statements are true?Choose 3 answers:Choose 3 answers:(Choice A)AFarah would pack 6 outfits for an 8-day vacation.(Choice B)BFarah would pack 8 outfits for a 6-day vacation.(Choice C)CFarah would pack 10 outfits for a 9-day vacation.(Choice D)DFarah would pack 16 outfits for a 12-day vacation.(Choice E)EFarah would pack 28 outfits for a 21-day vacation. The what is the waters south of Cuba.