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Andreas93 [3]
3 years ago
5

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

Mathematics
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 
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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
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