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2 years ago

I WILL MARK AS BRAINLIST The quantities x and y are proportional Find the constant of proportionality (r) in the equation y=rx

Mathematics

2 answers:

tekilochka [14]2 years ago

7 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Given that x and y are proportional and the equation relating them is

y = rx ← r is the constant of proportionality

To find r use any ordered pair from the table

Using x = 9, y = 4.5 , then

4.5 = 9r ( divide both sides by 9 )

$\frac{4.5}{9}$ = r , that is

r = $\frac{1}{2}$

Vesna [10]2 years ago

7 0

The correct answer is 1/2

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Which classification describes the system of linear equations?

katen-ka-za [31]

Both equations are the same
y=−4x+4 ----> y+4x=4,
so consistent dependent

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3 years ago

Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c

Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

$A=P+SI$

$SI=\frac{P\times r\times t}{100}$

Plugging the values we get:

$SI=\frac{2000\times 4\times 7}{100}=560.00$

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

$\$2000.00+\$560.00=\$2,560.00$

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

6 0

2 years ago

1-(1/3) x 1-(1/3) x 1/3

PolarNik [594]

The solution is -4/9x + 1

7 0

2 years ago

Read 2 more answers

Factor the common factor out of 8x3 + 12x. please help asap.

Hitman42 [59]

So 8x3 = 24

24 + 12x
the common factor is 12
so you divide everything by 12
24 ÷ 12 = 2
12x ÷ 12 = x

final answer: 12 (2+x)

8 0

3 years ago

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

$days = 52$

So:

$x = 52$

So, we have:

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

$y = 2.89\sin(0.0145*52-1.40) + 10.99.$

$y = 2.89\sin(0.754-1.40) + 10.99.$

$y = 2.89\sin(-0.646) + 10.99.$

$y = 2.89*-0.6020 + 10.99.$

$y = -1.740 + 10.99.$

$y = 9.25$

$y = 9.3$ --- approximated

8 0

2 years ago