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Question
- convert these temperature measurements. use the right equation °c = (°f - 32°)/1.8 or °f = (1.8)°c + 32° a. on a cold day it was 8°f = ____ °c b. ice melts at 0°c = __ °f c. room temperature is 72°f = __ °c d. a hot summer day, was 35°c = ____ °f
Step1: Convert 8°F to °C
Use the formula $^{\circ}C=(^{\circ}F - 32^{\circ})/1.8$. Substitute $^{\circ}F = 8$ into the formula: $(8 - 32)/1.8=-24/1.8=-\frac{40}{3}\approx - 13.33$.
Step2: Convert 0°C to °F
Use the formula $^{\circ}F=(1.8)^{\circ}C + 32^{\circ}$. Substitute $^{\circ}C = 0$ into the formula: $(1.8\times0)+32 = 32$.
Step3: Convert 72°F to °C
Use the formula $^{\circ}C=(^{\circ}F - 32^{\circ})/1.8$. Substitute $^{\circ}F = 72$ into the formula: $(72 - 32)/1.8 = 40/1.8=\frac{200}{9}\approx22.22$.
Step4: Convert 35°C to °F
Use the formula $^{\circ}F=(1.8)^{\circ}C + 32^{\circ}$. Substitute $^{\circ}C = 35$ into the formula: $(1.8\times35)+32=63 + 32=95$.
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a. $-13.33$
b. $32$
c. $22.22$
d. $95$