The solution for the variable a is 12.5 ⇒ 3rd answer
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- If x is proportion to y , then [tex]\frac{x}{y}[/tex] = k, wher k is a constant
- If x is proportion to y, then [tex]\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}[/tex]
∵ 4 is to 5 as 10 is to a
∵ These are proportion
∴ [tex]\frac{4}{5}=\frac{10}{a}[/tex]
- Use cross multiplication to find a
∵ 4 × a = 5 × 10
∴ 4 a = 50
- Divide both sides by 4
∴ [tex]a=\frac{50}{4}[/tex]
∴ a = 12.5
The solution for the variable a is 12.5
Learn more:
You can learn more about proportion in brainly.com/question/10708697
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