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3 years ago

5

The product of 4 and a number is 5.6. What is the number?

1 answer:

hodyreva [135]3 years ago

8 0

Let this number be represented by the variable "n"

product of 4 and n is multiplying4 and n

4 * n = 5.6

divide 4 to both sides to isolate the variable on one side

n=1.4

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Find the constant of proportional (r) in the equation y = rx

RUDIKE [14]

Answer:

Constant of proportionality,

Step-by-step explanation:

Constant of proportionality states that the constant value of the ratio of two proportional quantities x and y,

it is written in the form of y = kx, where k is the constant of proportionality.

Given the equation: .....[1]

where r is the constant of proportionality.

From the table we consider

x = 14 and y = 1.4

Substitute these given values in [1] to solve for r;

Divide both sides by 14 we get;

therefore, the Constant of proportionality,

4 0

3 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

3 years ago

Kay is 5'2, paul is 4'8, and kevin 5'8. what is the average heigt of the three?

lesya692 [45]

The average is 5'2
:)

7 0

3 years ago

What is the surface area of an orange with a 3inch radius

svp [43]

Orange = sphere

S.A of sphere

= 4πr²

= 4 × π × r × r

$= 4 \times \pi\times 3 \times 3$

$= 36\pi$

3 0

3 years ago

Read 2 more answers

Which Value Is The Eighth Term In The Sequence? <br><br> A. -3125<br> B. -125<br> C. -625

statuscvo [17]

Answer:

C

Step-by-step explanation:

Substitute n = 8 into the explicit rule

$a_{8}$ = - $\frac{1}{125}$ × $5^{7}$

= - $\frac{1}{5^{3} }$ × $5^{7}$

= - $5^{4}$ = - 625 → C

6 0

3 years ago