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3 years ago

What is the definition of "constant of proportionality"? Define or show an expression to prove your answer

Mathematics

1 answer:

Feliz [49]3 years ago

7 0

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

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Lol i need help again plzz

Len [333]

X would equal 81 because the square root of 81 is 9.

9 x 9 = 81

7 0

3 years ago

Alana took a math quiz last week. She got 12 out of 20 problems correct. What percentage did Alana get correct?

Deffense [45]

Answer:

60%

Step-by-step explanation:

The fraction 12/20 in simplest form would be 6/10 which come be converted to a percentage. (6x10)/(10x10)=60/100 or 60%.

4 0

3 years ago

Which of the following correctly uses absolute value to show the distance between −60 and 13? (5 points)

ioda

A.)|−60 − 13| = |−73| = 73 units is the answer

7 0

3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the acco

julia-pushkina [17]

Answer:

Yes

Step-by-step explanation:

With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.

So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil

Hope this helps!

5 0

2 years ago

What is the definition of "constant of proportionality"? Define or show an expression to prove your answer​

What is the definition of "constant of proportionality"? Define or show an expression to prove your answer