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Tems11 [23]
3 years ago
13

There are 30 nonfiction books and 34 fiction books in the teacher's collection. Which of the following expresses the ratio of fi

ction books to nonfiction books in simplest form?
Mathematics
2 answers:
In-s [12.5K]3 years ago
8 0

30:34

divide each term by 2

15:17

Answer: 15:17

lubasha [3.4K]3 years ago
6 0
To make a ratio, use this symbol ( : )
30 : 34
Is the ratio of nonfiction books to fiction books.
To simplify, divide by a common factor
A common factor of 30 and 34 is 2
30/2 = 15
34/2 = 17

Your final ratio in its simplest form is 15:17

Vote the brainliest if I helped! I need one more to level up ! :)
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Find the constant of proportionality k. Then write an equation for the relationship between x and y
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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

y = 5x

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Answer:

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Step-by-step explanation:

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