All categories

3 years ago

Two equations for the constant of proportionality equal to 1/2

Mathematics

1 answer:

NemiM [27]3 years ago

5 0

y=kx and y= $\frac{k}{x}$ are two equations of constant of proportionality

Step-by-step explanation:

There are two equations for the constant of proportionality. That is

(i) Direct proportion

(ii) Inverse proportion

In direct proportion y=kx, Now

if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.

In Inverse proportion y= $\frac{k}{x}$ , Now

if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.

In direct proportion, we put y=1 and x=2, So k= $\frac{1}{2}$ .

So, the equations y=kx and y= $\frac{k}{x}$ are two equations of constant of proportionality.

You might be interested in

Estimate. Then find the product 7 x 456

Novosadov [1.4K]

3,500 is the best estimate if you multiply 7 by round 456 to 500 so 7x500=3,500

5 0

3 years ago

What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABC ≅ ∠ABD definition of

Margarita [4]

Answer:

the answer is definition of angle bisector

Step-by-step explanation:

8 0

3 years ago

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $13.27. James ordered a medium dri

ioda

Let's start out by setting up three separate equations for each customer.
d = cost of drink, f = cost of fries, h = cost of hamburger

Miller Family: 4h + 3f = 13.27
James: d + h + 2f = 6.33
Steven: 2h + f + d = 7.04

Since the Miller's didn't order any drinks, let's start by using substitution to find the cost of d between James and Steven.

Let's isolate d with James:
d + h + 2f = 6.33
d = 6.33 - h - 2f

Now let's plug that into Steven's equation:
2h + f + d = 7.04
2h + f + (6.33 - h - 2f) = 7.04
h - f + 6.33 = 7.04
h - f = 0.71
h = 0.71 + f

Let's plug that new h into the Miller Family's equation:
4h + 3f = 13.27
4(0.71 + f) + 3f = 13.27
2.84 + 4f + 3f = 13.27
2.84 + 7f = 13.27
7f = 10.43
f = 1.49

So medium fries cost $1.49

Let's plug f back into the Miller Family's equation to get h:
4h + 3f = 13.27
4h + 3(1.49) = 13.27
4h + 4.47 = 13.27
4h = 8.8
h = 2.2

So a hamburger costs $2.20

Let's plug h and f into Steven's equation to calculate d

2h + f + d = 7.04
2(2.2) + (1.49) + d = 7.04
4.4 + 1.49 + d = 7.04
5.89 + d = 7.04
d = 1.15

So a medium drink costs $1.15

The answer is B. Drink = $1.15, Fries = $1.49, Hamburger = $2.20

5 0

4 years ago

A map

Bess [88]

The scale of the map from inches to miles is 1 inch : 9 miles

<h3>How to determine the scale of the map from inches to miles?</h3>

The given parameters are:

The actual distance of the cities apart = 36 miles
The scale distance of the cities apart = 4 inches

The scale of the map from inches to miles is represented as:

Scale of map = The scale distance of the cities apart : The scale distance of the cities apart

Substitute the known values in the above equation

Scale of map = 4 inches : 36 miles

Divide both sides of the ratio by 4

So, we have:

Scale of map = 4/4 inches : 36/4 miles

Evaluate the quotient

Scale of map = 4/4 inches : 9 miles

Evaluate the quotient

Scale of map = 1 inch : 9 miles

Hence, the scale of the map from inches to miles is 1 inch : 9 miles