x is directly proportional with y. Write an equation that shows the relationship if x=10 and y=4.

Answers

Answer 1

Answer:

x=3

Step-by-step explanation:

y

=

3

x

Explanation:

Direct proportionality is defined as:

y

=

α

x

where

α

is some constant that defines the proportionality.

Given

x

=

2

and

y

=

6

, we find:

y

=

α

x

6

=

α

(

2

)

3

=

α

So the relationship here is

y

=

3

x


Related Questions

help
4. Which list shows the integers in order from least to greatest?
A) -8, -5, 0, 2, 6
B) 0, 2, -5, 6, -8
C) -5, -8, 0, 2, 6
D) 0, -3, -5, 2, 6

Answers

I’m pretty sure it’s A

25 POINTS!!!
The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need?
StartFraction 3 Over 10 EndFraction of a pound
StartFraction 8 Over 15 EndFraction of a pound
1 and StartFraction 7 Over 8 EndFraction pounds
3 and one-third pounds

Answers

Answer:

i think its the 3erd one... im giveing a estimate because of that one dude. lol

Step-by-step explanation:

im so so so so sorry if its wrong!!!

Answer:

C

Step-by-step explanation:

y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.

Answers

Answer:

9

Step-by-step explanation:

formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]

k is the constant of probability

to find k,

y is 12, x is 6

12 = [tex]\frac{k}{6}[/tex]

so x = 12 × 6

∴ k is 72

so y = [tex]\frac{72}{8}[/tex]

∴ y is 9

according to exponent rules, when we multiply like bases, we ______ the exponents

Answers

You would add the exponents.

Example: 4x^2(5x^2)= 20x^4

A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.

Answers

Answer:

The perimeter of the new TV is approximately  95.32 inches

Step-by-step explanation:

The diagonal dimension of the original TV = 32 inches

The perimeter of the original TV = 87.16 inches

The diagonal dimension of the new TV = 70 inches

The perimeter of the new TV = 87.16 inches

For the original TV, we have;

Let w be the width of the original TV and l be the length of the original TV, we have;

2·w + 2·l = 87.16

√(w² + l²) = 32

Therefore, we have;

32² = w² + l²

w = (87.16 - 2·l)/2

w = 43.58 - l

32² = l² + (43.58 - l)²

l² + (43.58 - l)² - 32² = 0

l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0

2·l² - 87.16·l + 875.2164 = 0

By the quadratic formula, we have;

l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)

Therefore, l = 27.89 inches or l = 15.69

Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69

or w = (87.16 - 2× 15.69)/2 = 27.89

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

15.69/27.89

w₂/l₂ for the new TV = 15.69/27.89

∴ w₂ = l₂ × 15.69/27.89

w₂² + l₂² = 70²

∴ (l₂ × 15.69/27.89)² + l₂² = 70²

l₂² × (15.69/27.89)² + l₂² = 70²

l₂²((15.69/27.89)² + 1) = 70²

l₂² = 70²/((15.69/27.89)² + 1) = 3722.04

l₂ = √(3722.04) ≈ 61.0

w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32

Therefore;

The perimeter of the new TV = 34.32 + 61 = 95.32 inches.

In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:

The perimeter of the new TV is approximately  95.32 inches

So the data for this exercise is from:

The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches

Let w be the width of the original TV and l be the length of the original TV, we have;

[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]

Therefore, we have:

[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]

By the quadratic formula, we have;

[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]

Therefore:

[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]

Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;

w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]

[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]  

The perimeter of the new TV :

[tex]P = 34.32 + 61 = 95.32[/tex]

See more about perimeter at brainly.com/question/6465134

Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.​

Answers

Step-by-step explanation:

[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]

[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]

from eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]

Substitute the value in eq(2)

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]

Substitute the value in eq (3)

[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]

what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)​

Answers

Answer:

x=-7

Step-by-step explanation:

BRAINLIEST PLS

Help plz plz plz plz

Answers

Answer:

.4 and it terminates

Step-by-step explanation:

Answer:

red

Step-by-step explanation:

IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range

f(x) = 2/7x - 2

i am giving brainliest to the first person that answers this and follows all the directions

Answers

Tell us the value of the variable to solve

The graph is attached btw

Answer:

Bet.

Step-by-step explanation:

How would I create a graph for this equation? The equation is c=4.95+3.99b

Answers

Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)

Answers

Answer:

I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number

Step-by-step explanation:

5, 11, 17, 23, 29, 35. (Difference of 6)

4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)

As for the formulas I’m not sure, but I I would guess something like

an=6n-1

an=n/4

I am not sure about the formulas though

6 divided by 2/3 = tell me thee answer in fraction form

Answers

Answer:

There wouldn't be a fraction form because its a whole number which is 9

A company that teaches self-improvement seminars is holding one of its seminars in Belmont. The company pays a flat fee of $250 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $14 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take?

Answers

Answer:

Step-by-step explanation:

250 for place  4 for books each.

If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.

250/10= 25 people to break even. Any people beyond that  is a profit of 10.00 since the other 4 will still go to the books.

What is -19 equal to

Answers

Answer:

-19

Step-by-step explanation:

Marissa bought 4 cans of corn and 8 cans of green beans for a total of $7.00. Bob bought 8 cans of corn and 7 cans of green beans for a total of $8.60. Determine how much each can green beans cost.

Answers

Step-by-step explanation:

1 can of corn = c

1 can of green beans = b

Marissa-> 4c+8b=7

Bob-> 8c+7b=8.60

form a simultaneous equation:

4c+8b=7

8c+7b=8.60

find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn

8c+16b=14

8c+7b=8.60

now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:

16b-7b=9b

14-8.60= 5.4

so, 9b=5.4, and b= 0.6

so 1 can of green beans would cost $0.60

The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.

Answers

Answer:

849.7m2

Step-by-step explanation:

L= length

SA = surface area

volume = L x L x L

1700= L x L x L

find cube root

=11.93m

round off to 1 dp

=11.9m

SA= 6( L x L)

     = 6( 11.9 x 11.9)

       =6(141.61)

       =849.66m2

round off to 1 dp

=849.7m2

If p = 2 and q = 8, the value of p3 + V64 q ls____​

Answers

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

The answer I got was: {{ 2,8}}

Hope this helps, and happy holidays!!

(5i-3)(9i+1)
Answer must be in standard form

Answers

Answer:

-48-22i

Step-by-step explanation:

A.
B.
C.
D.

Help me please!!

Answers

It's B!!!           ik cuz i ggogled it lol

Answer:

I think the answer is B. $92

Step-by-step explanation:

$80 time (115 on calculator will give you 9200

I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?

Answers

Answer: Water: The battle between the clean vs the dirty :P

Step-by-step explanation:

Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)​

Answers

Can you provide a photo question ?

Ok now these are my very last points please help

Answers

Answer:

wait what grade are you in ?

Determine how (if possible) the triangles can be proved similar.

Answers

Answer:

It's not similar :)

hope this helps<3

The triangles are not similar because the sides are not proportional.

What are Similar Triangles?

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

So we know that length of sides are proportional.

If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.

We have only the length of two sides of each triangle.

If those sides are proportional, we must have an angle of each triangle to be equal.

Here, the angles formed by the intersecting lines are vertical angles and are thus equal.

Let's look if the sides are proportional.

20 / 36 = 5/9

24 / 42 = 4/7

Sides are not proportional.

Hence the given triangles are not similar.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ2

What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Answers

Answer:

Step-by-step explanation:

domains:-6,-4,-1,4

Range:5,3,0,3

will you include the image of the line so i can answer the rest of the question?

on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do

Answers

Answer:

0.295

Step-by-step explanation:

you needed to subtract 2.175-1.88=0.295

-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5

Answers

Answer:

I am sorry what are you showing

The sum of four times a number and negative three is twelve. What is the number?

2 1/4
3 3/4
-2 1/4
6

Answers

The second one because, 3 3/4 x 4 equals 15 which is the sum of 3 3/4 x 4, minus 3 equals 12.

Answer:

Dgfyb

Step-by-step explanation:

i need help with the group 1 and group 2, what do i write in the boxes :((

Answers

I don’t see anything it’s a black screen

Evaluate the expression for 1/2(2x+8)+6x and explain your process

Answers

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)

=x+4

x+4+6x

=7x+4

PLS GIVE BRAINLIEST

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)+6x

divide by 2 or multiply 1/2 it equals the same anyway

x+4+6x

add like terms

7x+4

Evaluate the function f(x) = x/3+4 for f(-9).
a. -23
b. -2
c. 7
d. 1​

Answers

Answer:

d. 1

Step-by-step explanation:

To evaluate a function, plug the number in the parentheses into the expression in place of x:

(-9/3) + 4 = 1

Answer:

option d.

Step-by-step explanation:

answer is 1

as LCM is 3

-9/3+ 4/1*3/3=

-9+12/3= 3/3

=1

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