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posledela
3 years ago
15

the number of free song downloads is determined using a ratio. When you purchase 40 songs, you get 24 free downloads. How many s

ong must you purchase in order to get 18 free downloads?
Mathematics
2 answers:
Artemon [7]3 years ago
4 0
That answer will be 30 songs.

In order to get that answer you must multiply 40 by 18 which is 720 and divide it by 24 . Finally you get the answer 30 songs.

Hope it helps :]
stellarik [79]3 years ago
3 0
The answer is 30 songs because you have to multiply 40 by 18 and then divide it by 24 :)
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Find the constant of proportionality k. Then write an equation for the relationship between x and y
ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Answer:

(a) k = 5

(b) y = 5x

Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

(x_1,y_1) = (2,10)

(x_2,y_2) = (6,30)

The constant of proportionality k is:

k = \frac{y_2 - y_1}{x_2 - x_1}

k = \frac{30-10}{6-2}

k = \frac{20}{4}

k = 5

Solving (b): The equation

In (a), we have:

(x_1,y_1) = (2,10)

k can also be expressed as:

k = \frac{y- y_1}{x- x_1}

Substitute values for x1, y1 and k

5 = \frac{y- 10}{x- 2}

Cross multiply:

y - 10 = 5(x - 2)

Open bracket

y - 10 = 5x - 10

Add 10 to both sides

y - 10 +10= 5x - 10+10

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6 0
3 years ago
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LuckyWell [14K]

Answer:

<h2>thank you me and brainiest me</h2>

Step-by-step explanation:

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standard form:8(x + 3) =0

Factorization:

8(x + 3) = 0

solutions

x = −24

8

= −3

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