All categories

2 years ago

Y=3/8x describes a proportional relationship between x and y. What is the constant of proportionality?

Mathematics

1 answer:

vekshin12 years ago

4 0

Answer:

The constant of proportionality k is 3/8

Step-by-step explanation:

We are given $y=\frac{3}{8}x$ which describes a proportional relationship between x and y. We need to define constant of proportionality

If y ∝ x then

y=kx where k is constant of proportionality.

Comparing the given $y=\frac{3}{8}x$ with y=kx, we can find value of k i.e constant of proportionality.

So, k= 3/8

Hence, The constant of proportionality k is 3/8

You might be interested in

Plzzzzz answer this question about density mass and volume!!!!!!!!!

nataly862011 [7]

Answer:

13.896 kg

Step-by-step explanation:

You can find the mass of the bar by first finding the volume.

V = BH

where B = area of the base (the trapezium), and

H = height (distance trapezium between bases)

The area of a trapezium is

A = (b1 + b2)h/2

where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and

h = the altitude of the trapezium (distance between the bases of the trapezium)

V = (b1 + b2)h/2 * H

V = (12 cm + 6 cm)(5 cm)/2 * 16 cm

V = 720 cm^3

The volume of the bar is 720 cm^3.

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 19.3 g/cm^3 * 720 cm^3

mass = 13,896 g

Now we convert grams into kilograms.

1 kg = 1000 g

mass = 13,896 g * (1 kg)/(1000 g)

mass = 13.896 kg

Answer: 1.3896 kg

6 0

3 years ago

Pick the expression that matches this description:

Katen [24]

Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5

Step-by-step explanation:

We need to pick the expression that matches this description:

A trinomial with a leading coefficient of 3 and a constant term of -5

First lets explain the terms:

Trinomial: a polynomial having 3 terms

Leading coefficient: The constant value of variable having highest power

Constant term: Having no variable and value cannot be changed.

Now using these definitions, we can choose the correct option

Option A is incorrect because the expression has 2 terms

Option B is incorrect because it is a trinomial but the leading coefficient is -5 and not 3 constant term is 3 and not -5.

Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5

Option D is incorrect because it is a trinomial but the leading coefficient is 3 but constant term is 1 and not -5.

So, Option C is correct.

Keywords: Algebra

Learn more about Algebra at:

#learnwithBrainly

6 0

2 years ago

just use 5 ounce of lemonade concentrate for every 9 ounce of orange juice (a) find the ratio of number of ounces of orange juic

Maslowich

A) 9 : 5

B) 5( 36/9) which is 20 ounces of lemonade concentrate

7 0

2 years ago

Find the coordinates of the missing endpoint if m is the midpoint of ab. a(-9, -4) and m(-7, -2.5)

Julli [10]

Answer:

The coordinates of the point b are:

b(x₂, y₂) = (-5, -1)

Step-by-step explanation:

Given

As m is the midpoint, so

m(x, y) = m (-7, -2.5)

The other point a is given by

a(x₁, y₁) = a(-9, -4)

To determine

We need to determine the coordinates of the point b

= ?

Using the midpoint formula

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

$\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)$

Thus equvating,

Determining the x-coordinate of b

[x₂ + (-9)] / 2 = -7

x₂ + (-9) = -14

x₂ - 9 = -14

adding 9 to both sides

x₂ - 9 + 9 = -14 + 9

x₂ = -5

Determining the y-coordinate of b

[y₂ + (-4)] / 2 = -2.5

y₂ + (-4) = -2.5(2)

y₂ - 4 = -5

adding 4 to both sides

y₂ - 4 + 4 = -5 + 4

y₂ = -1

Therefore, the coordinates of the point b are:

b(x₂, y₂) = (-5, -1)

6 0

2 years ago

4. What value of x makes the inequality true? 3(2x - 1) - 11x S -3x + 5

NNADVOKAT [17]

Answer:

A. {x: x ≥ -4}

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
{Builder Set Notation}

Step-by-step explanation:

Step 1: Define

Identify

3(2x - 1) - 11x ≤ -3x + 5

Step 2: Solve for x

[Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
[Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
[Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
[Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
[Division Property of Equality] Divide 2 on both sides: -4 ≤ x
Rewrite: x ≥ -4

6 0

2 years ago