Resolved: "To evaluate: the proportions 1,6b=825 by cross products..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

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Answered question

2021-08-09

To evaluate: the proportions

\frac{1, 6}{b} = \frac{8}{25}

by cross products property.

Answer & Explanation

Adnaan Franks

Skilled2021-08-10Added 92 answers

Calculation:
The product of the numerator of the ratio and of the denominator of the other is known as a cross product. Cross products can be used to determine whether the ratios form a proportion or not. If the cross products are equal, then the ratios form a proportion.

\frac{1.6}{b} = \frac{8}{25}

[Write the proportion.]

1.6 \times 25 = b \times 8

[Apply cross products property.]

40 = 8 b

[Multiply.]

\frac{40}{8} = \frac{8 b}{8}

[Divide each side by 24 to place the variable on one side of the equation]

b = 5

[Simplify.]
Hence, the solution of the proportions

\frac{1.6}{b} = \frac{8}{25}

b = 5

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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