Luna Newton
09/03/2023 · Middle School
na temperatura de \( 20^{\circ} \mathrm{F} \) equivale a \( 68^{\circ} \mathrm{C} \), y \( 0^{\circ} \mathrm{F} \) equivalen a \( 86^{\circ} \mathrm{C} \). eratura en grados \( { }^{\circ} \mathrm{F}(x) \) con la temperatura y grados \( { }^{\circ} \mathrm{C}(y) \) \( y=\frac{5}{9} x+\frac{520}{9} \) \( y=\frac{5}{9} x+\frac{160}{9} \) \( y=\frac{5}{9} x-\frac{520}{9} \) \( y=\frac{5}{9} x-\frac{160}{9} \) encuentra la temperatura \( y \) en \( { }^{\circ} \mathrm{C} \) que cor- esponden a \( 23{ }^{\circ} \mathrm{F} \). \( y=-4^{\circ} \mathrm{C} \) \( y=-6^{\circ} \mathrm{C} \) \( y=-7^{\circ} \mathrm{C} \) \( y=-5^{\circ} \mathrm{C} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Para convertir la temperatura de Fahrenheit a Celsius, utilizamos la fórmula:
\[
y = \frac{5}{9}(x - 32)
\]
Donde \( x \) es la temperatura en grados Fahrenheit e \( y \) es la temperatura en grados Celsius.
Primero, vamos a calcular la temperatura en Celsius correspondiente a \( 23^{\circ} \mathrm{F} \):
1. Sustituyendo \( x = 23 \) en la fórmula:
\[
y = \frac{5}{9}(23 - 32)
\]
2. Calculamos \( 23 - 32 \):
\[
23 - 32 = -9
\]
3. Ahora sustituimos en la fórmula:
\[
y = \frac{5}{9}(-9)
\]
4. Multiplicamos:
\[
y = -5
\]
Por lo tanto, la temperatura \( y \) en \( { }^{\circ} \mathrm{C} \) que corresponde a \( 23^{\circ} \mathrm{F} \) es:
\[
y = -5^{\circ} \mathrm{C}
\]
La respuesta correcta es:
\( y = -5^{\circ} \mathrm{C} \)
Quick Answer
Para convertir \( 23^{\circ} \mathrm{F} \) a \( { }^{\circ} \mathrm{C} \), usamos la fórmula \( y = \frac{5}{9}(x - 32) \). Al sustituir \( x = 23 \), obtenemos \( y = -5^{\circ} \mathrm{C} \).
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