Answered

We can calculate [tex]$E[tex]$[/tex], the amount of euros that has the same value as [tex]$[/tex]D[tex]$[/tex] U.S. dollars, using the equation [tex]$[/tex]E=\frac{17}{20} D$[/tex].

1. How many euros have the same value as 1 U.S. dollar?
\(\square\) euros

2. How many U.S. dollars have the same value as 1 euro?
[tex]\(\square\)[/tex] dollars



Answer :

GinnyAnswer
Sure! Let's solve each part step by step.

### Part 1: How many euros have the same value as 1 U.S. dollar?

We are given the equation:
[tex]\[ E = \frac{17}{20} D \][/tex]

To find the amount of euros \( E \) for 1 U.S. dollar (\( D = 1 \)):
[tex]\[ E = \frac{17}{20} \times 1 \][/tex]
[tex]\[ E = \frac{17}{20} \][/tex]

This means that 1 U.S. dollar is equivalent to:
[tex]\[ \boxed{0.85} \][/tex]
euros.

### Part 2: How many U.S. dollars have the same value as 1 euro?

We use the inverse of the conversion factor \(\frac{17}{20}\) to find how many U.S. dollars have the same value as 1 euro. The inverse is:
[tex]\[ \frac{20}{17} \][/tex]

So, the amount of U.S. dollars (\(D\)) that has the same value as 1 euro (\(E = 1\)):
[tex]\[ D = \frac{20}{17} \][/tex]

This means 1 euro is equivalent to:
[tex]\[ \boxed{1.1764705882352942} \][/tex]
U.S. dollars.