The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?​

Answers

Answer 1

Answer:

The constant of proportionality is k=1/4

Step-by-step explanation:

For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.


Related Questions

help with this question, please!

Answers

Answer:

Y Intercept: 0, 2.5

X Intercept: 3.5, 0

Explanation:

An Intercept is where a line crosses an axis. A Y Intercept is for the Y axis and the X intercept is for the X axis.

Also when writing coordinates, the x coordinate comes before the y one.

Hope this helps :)

The amount of money, y, pizzeria J makes by
selling x pizzas can be modeled by the equation
y = 14x. The relationship of the amount of money
pizzeria W makes is shown in the following graph.
Which pizzeria makes more money per pizza?

Answers

Answer:

Pizzeria J

Step-by-step explanation:

Pizzeria J makes

y = 14x

Let x = 1, for 1 pizza. Then,

y = 14 × 1

y = 14

At pizzeria J, 1 pizza costs $14.

In the equation y = 14x, the slope, 14, is the cost per pizza.

Now we find the slope of the graph for pizzeria W.

The x-axis is the number of pizzas.

For x = 1, y = 11.

The slope is 11, so the price per pizza is $11.

Answer: Pizzeria J

An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?

Answers

Answer:

104

Step-by-step explanation:

A(16)=1/2(16)(16-3)

A=8(13)

Area is 104 inches squared

PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20​

Answers

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

(x - 10)x(x + 2) = x(x - 10)(x + 2)

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x

Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?

Answers

Answer:

$0.44

Step-by-step explanation:

lmk if you want an explanation

I’ll give brainliest!
Add 3/4 + (2^1/2) using the number line
Select the location on the number line to plot the sum

Answers

Answer: -1 3/4

Step-by-step explanation

just add the fractions together :)

(between the -2 and -1 1/2)

Question Write an equation of the line passing through the point A(0, 3) that is perpendicular to the line y = −1/2x−6

Answers

Answer:

The equation would be y=2x+3 I am pretty sure

Step-by-step explanation:

This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.

(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)

Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"

y-y1=m(x-x1)

y-3=2(x-0)

-distribute the 2-

y-3=2x-0

-add 3 on both sides-

so equation would be y=2x+3

Not sure if this is all correct, but I hope it helps! :)

please help ill mark brainliestO​

Answers

Answer:

Yes triangles ACB and FGC are similar using AA.

(Please don't hate if it's wrong)

165 of the city library members are children if there are 750 total members

Answers

Answer:

Step-by-step explanation:

Not sure what you require but (165/750) * 100

= 0.22 * 100

= 22% are children

help me on my 7th grade math homework

Answers

Answer:

Step-by-step explanation:

divide the money or degrees by the hours or form of time they give. for the first one you divide 585/52 to get $11.25 an hour.

The present year is 2014. Which year comes AFTER THE NEXT 3 years?

Answers

The answer to this question is 2017

Answer:

2017 Pls mark me as a brainliest I really need it

Solve the linear system using elimination.
46) -2x+4y=-2
6x - y=28

Answers

Answer:

x = 5, y = 2

Step-by-step explanation:

just trust me, I used a calculator

Your utility company charges 14 cents per kilowatt-hour of electricity. Complete parts (a) and (b) below.
a. What is the daily cost of keeping lit a 150-watt light bulb for 8 hours each day?
b. How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 20 watts of power?
a. The daily cost of keeping lit a 150-watt light bulb for 8 hours each day is $
(Round to three decimal places as needed.)
b. The yearly savings of replacing the 150-watt light bulb with a 20-watt light bulb is
(Round to two decimal places as needed.)

Answers

Answer:

P = 150 W * 60 sec/min * 60 min/hr =  540000 W-sec/hr

1 kW = 1000 W * 3600 sec = 3.6E6 W-sec

E (8 hrs) = 8 * .54E6 W-s = 4.32E6 W-sec

or E= 4.32/3.6 = 1.2 kW = .168 $/day

20/150 = .133 as much for a 20-watt bulb

For a LED bulb cost/day = .168 * .133 = $.022/da

Note 1 W = 1 Joule/sec

15/4= simplify it please

Answers

Answer:

[tex]The \: fraction \: \frac{15}{4} \: is \: equivalent \: to \: 3 \frac{3}{4 } .[/tex]

This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denomintor (4). So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction [tex]3 \frac{3}{4} [/tex]

The fraction [tex] \frac{15}{4} [/tex]

is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.

The fraction 15/4 is equivalent to 3 3/4.

Here, we have,

To simplify the fraction 15/4, you need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (4) and divide both the numerator and denominator by the GCD.

The GCD of 15 and 4 is 1 since there are no common factors other than 1.

Dividing both the numerator and denominator by 1, we get:

(15 ÷ 1) / (4 ÷ 1) = 15/4

This fraction is a improper fraction once the absolute value of the top number or numerator (15) is greater than the absolute value of the bottom number or denominator (4).

So, the equivalent fraction is a mixed number which is made up of a whole number (3) and a proper fraction 3 3/4.

The fraction 15/4 is also equal to 15÷4 and can also be expressed as a decimal as 3.75 and expressed as a percentage as 375%.

To learn more on fraction click:

brainly.com/question/10354322

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Which graph represents y = –2x?

Answers

Answer:

B, the second one down on the first page

Step-by-step explanation:

hope this helps! :D

brainliest is immensely appreciated!! <3

Write an equation for the situation: Kristian has $200 which is two times Alejo's money plus $20.​

Answers

Answer:

x= 2y + 20

Step-by-step explanation:

we could say kristian and alejo, Bob and Bill, shelled and Jackie or just about any other two words so let's call them x any y. kristian is x and also is y.

so kristian (x) has twice as much money plus another 20.

this means x has 2 times plus 20 more than y.

so x= 2y + 20

Use >,<, or = to solve
the inequality below.
4/5 1/2

Answers

Answer:

4/5 > 1/2

Step-by-step explanation:

4/5 1/2

   \/

4/5 -> 8/10

1/2 -> 5/10

   \/

8/10 > 5/10

   \/

4/5 > 1/2

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

4/5>1/2

Step-by-step explanation:

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

4/5 = 0.8

1/2 = 0.5

Then, we compare the two decimal numbers to get the answer.

0.8 is greater than 0.5.

Therefore, 4/5 is greater than 1/2

Solve: 6 − x = −12
helpppppppppppp quickkk

Answers

Answer:

x  = 18

Step-by-step explanation:

6 − x = −12

subtract 6 from both sides

- x = - 18

divide both sides by -1

x = 18

Answer:

x=18

Step-by-step explanation:

6 - x = -12

-6        -6

----------------

    -x = -18

*divide by -1*

 x = 18

hope this helps! :D

have a MIRACULOUS day!! <3

look at picture for problem​

Answers

add 2 3/4 and 2 1/2 and you’ll get ur answer. area means total and when u see area, it means add

Camry has 612 photos she needs to put
into albums. If each album holds 36
pictures, how many albums will it take
to hold all the photos?

Answers

Answer:

36 = 1

612 =?

(612×1)

----------

36

=17

Which shows two triangles that are congruent by AAS

Answers

Answer:

answer A is the correct option.

Step-by-step explanation:

The triangles ( A ) are congruent by AAS theorem

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔABD

Now , AB is the common side of both the triangles

And , measure of ∠ACB = measure of ∠ADB

And , the measure of ∠ABC = measure of ∠ABD = 90°

So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent

To learn more about congruent triangles click :

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20/50 = 30/x solve for x

Answers

Answer:

x = 75

Step-by-step explanation:

20/50 = 30/x

Divide the numbers and find x. If you plug back in 75 for x and simply, you should get the same fraction for each, 4/10.

If there are 10,000 people on a space ship and 7.5 potatoes grow out of 1 potato plant. How many potato plants are we going to need per person?

Answers

This can be answered by the equation 10,000 / 7.5 = 1,333.33, so we can round to 1,333.

Hope this helps!

Answer: 1333

Step-by-step explanation:

Writing
Tammy bought some books. She spent a total of $45 after a discount of S6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
X
5
o 16+ = 0
(b) Solve the equation in part (a) to find the number of books.
b = 0

Answers

Answer:

b=17

Step-by-step explanation:

b=(45+6)/3

b=51/3

b=17

she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.

Evaluate the expression when c=4 and y=-4.
6(4) (-4)

Answers

Answer:

6×4×(-4)

24×(-4)

-96

Step-by-step explanation:

Hope it will help you...

Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink?​

Answers

Answer:

Marie drunk 0.083 gallons of milk each day

John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?

Answers

10% of $3250 would be $325 of commission

Find the value of x.
950°
1280°
60°

Answers

Answer:

x=77

Step-by-step explanation:

128+95+60+x=360

283+x=360

x=77

- 4x – 4y = 24
3x + 10 = y

Answers

Answer:

x=-4,\:y=-2

Step-by-step explanation:

Answer:

x=-4

y=-2

Step-by-step explanation:

-4x-4y=24. .........1

3x+10=y...........2

since y is already isolated in equation 2 we can substitute the y value

subs 2 into 1

-4x-4(3x+10)=24.

-4x-12x-40=24

-16x=24+40

x=-4.....3

subs 3 into 2

3(-4)+10=y

-12+10=y

-2=y

Use logarithms to solve the equation 5^x = 3^(2x-1), giving your answer correct to 3 significant figures.

Answers

[tex]5^x = 3^{2x-1}\\\\\implies \ln(5^x) = \ln\left(3^{2x-1}\right)\\\\\implies x \ln 5 = (2x-1) \ln 3\\\\\implies x \ln 5 = 2x \ln 3 - \ln 3\\\\\implies 2x \ln 3 - x \ln 5 = \ln 3\\\\\implies x(2 \ln3 - \ln 5) = \ln 3\\\\\implies x =\dfrac{\ln 3}{2 \ln 3 - \ln 5} = 1.87[/tex]

The solution to the equation is x ≈ 1.864 (correct to 3 significant figures).

To solve the equation 5ˣ = 3²ˣ⁻¹ using logarithms, we'll take the logarithm of both sides to bring down the exponent. Since the bases are different (5 and 3), we can use either the natural logarithm (ln) or the common logarithm (log base 10). Let's use the natural logarithm (ln):

Take the natural logarithm (ln) of both sides:

ln(5^x) = ln(3²ˣ⁻¹)

Apply the logarithm rule: ln(a^b) = b * ln(a):

x * ln(5) = (2x - 1) * ln(3)

Expand the equation:

x * ln(5) = 2x * ln(3) - ln(3)

Move the terms with "x" to one side of the equation:

x * ln(5) - 2x * ln(3) = -ln(3)

Factor out "x" from the left side:

x * (ln(5) - 2 * ln(3)) = -ln(3)

Solve for "x":

x = -ln(3) / (ln(5) - 2 * ln(3))

Now, we can calculate the value of "x" using a calculator:

ln(3) ≈ 1.099

ln(5) ≈ 1.609

x ≈ -1.099 / (1.609 - 2 * 1.099) ≈ -1.099 / (1.609 - 2.198) ≈ -1.099 / (-0.589) ≈ 1.864

Therefore, the solution to the equation is x ≈ 1.864 (correct to 3 significant figures).

Learn more about natural logarithm from the link given below.

https://brainly.com/question/29154694

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