Hi, please just do questions 4-6 and please write neatly! X. Ratios and ProportionsRatios and Proportions A ratio is a comparison of two numbers by division. The ratioof x to y can be expressed as x to y, xy or. Ratios are usually expressed in simplest form.An equation stating that two ratios are equal is called a proportion. To determine whethertwo ratios form a proportion, express both ratios in simplest form or check cross products.Example 1 Determine whether the2 form a proportion.Example 2 Use cross products to24andratios 3618determine whether and form aproportion.2518242when expressed in simplest form.10363Write the proportion.451812%3Dwhen expressed in simplest form.10(45) 2 18(25) Cross productsThe ratios-24and form a proportion12450 = 450Simpily.361025because they are equal when expressed insimplest form.The cross products are equal, so =Since the ratios are equal, they form aproportion.45Practice: Determine whether each pair of ratios forms a proportion.12 31.32 '164. 5 to 9, 25 to 4515 92.20 '125. 0.1 to 0.2, 0.45 to 1.351.5 63.2 '86. 100:75, 44:33

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- whether each pair of ratios forms a proportion. 4. 5 to 9, 25 to 45 5. 0.1 to 0.2, 0.45 to 1.35 6. 100:75, 44:33

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.2: Systems Of Linear Equations In Two Variables

Problem 46E

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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Hi, please just do questions 4-6 and please write neatly!

X. Ratios and Proportions
Ratios and Proportions A ratio is a comparison of two numbers by division. The ratio
of x to y can be expressed as x to y, xy or. Ratios are usually expressed in simplest form.
An equation stating that two ratios are equal is called a proportion. To determine whether
two ratios form a proportion, express both ratios in simplest form or check cross products.
Example 1 Determine whether the
2 form a proportion.
Example 2 Use cross products to
24
and
ratios 36
18
determine whether and form a
proportion.
25
18
24
2
when expressed in simplest form.
10
36
3
Write the proportion.
45
18
12
%3D
when expressed in simplest form.
10(45) 2 18(25) Cross products
The ratios-
24
and form a proportion
12
450 = 450
Simpily.
36
10
25
because they are equal when expressed in
simplest form.
The cross products are equal, so =
Since the ratios are equal, they form a
proportion.
45
Practice: Determine whether each pair of ratios forms a proportion.
12 3
1.
32 '16
4. 5 to 9, 25 to 45
15 9
2.
20 '12
5. 0.1 to 0.2, 0.45 to 1.35
1.5 6
3.
2 '8
6. 100:75, 44:33

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