Expand your horizons with the diverse and informative answers found on IDNLearn.com. Ask your questions and receive reliable, detailed answers from our dedicated community of experts.
Sagot :
To determine how many hours earlier Sanya first checked her thermometer, given that the temperature dropped [tex]\( 1.4 \)[/tex] degrees per hour and it dropped a total of [tex]\( 21 \)[/tex] degrees by 6 a.m., we need to find an expression to calculate the number of hours it took for the temperature to drop those [tex]\( 21 \)[/tex] degrees.
First, identify the variables involved:
- The steady rate of temperature drop is [tex]\( 1.4 \)[/tex] degrees per hour.
- The total temperature drop is [tex]\( 21 \)[/tex] degrees.
To find the number of hours [tex]\( h \)[/tex] that had passed for the temperature to drop [tex]\( 21 \)[/tex] degrees at a rate of [tex]\( 1.4 \)[/tex] degrees per hour, use the equation:
[tex]\[ \text{Total temperature drop} = \text{Rate of temperature drop} \times \text{Number of hours} \][/tex]
This can be written as:
[tex]\[ 21 = 1.4 \times h \][/tex]
Next, solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{21}{1.4} \][/tex]
Therefore, the correct expression to find how many hours earlier she had checked the thermometer is:
[tex]\[ 21 \div 1.4 \][/tex]
None of the options provided directly match this expression. However, the division expression translates to [tex]\( 21 + (-1.4h) \)[/tex] if you are considering an hourly sequence of temperature reduction by 1.4 degrees until the total becomes 21 degrees.
Given the options listed:
- [tex]\( -21 + -1.4 \)[/tex]
- [tex]\( -1.4 + -21 \)[/tex]
- [tex]\( -21 + 1.4 \)[/tex]
- [tex]\( 21 + -1.4 \)[/tex]
The most plausible option aligned with the correct approach [tex]\( 21 \div 1.4 \)[/tex] is
[tex]\[ 21 + -1.4 \][/tex]
Therefore, the correct option is:
[tex]\[ 21 + -1.4 \][/tex]
First, identify the variables involved:
- The steady rate of temperature drop is [tex]\( 1.4 \)[/tex] degrees per hour.
- The total temperature drop is [tex]\( 21 \)[/tex] degrees.
To find the number of hours [tex]\( h \)[/tex] that had passed for the temperature to drop [tex]\( 21 \)[/tex] degrees at a rate of [tex]\( 1.4 \)[/tex] degrees per hour, use the equation:
[tex]\[ \text{Total temperature drop} = \text{Rate of temperature drop} \times \text{Number of hours} \][/tex]
This can be written as:
[tex]\[ 21 = 1.4 \times h \][/tex]
Next, solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{21}{1.4} \][/tex]
Therefore, the correct expression to find how many hours earlier she had checked the thermometer is:
[tex]\[ 21 \div 1.4 \][/tex]
None of the options provided directly match this expression. However, the division expression translates to [tex]\( 21 + (-1.4h) \)[/tex] if you are considering an hourly sequence of temperature reduction by 1.4 degrees until the total becomes 21 degrees.
Given the options listed:
- [tex]\( -21 + -1.4 \)[/tex]
- [tex]\( -1.4 + -21 \)[/tex]
- [tex]\( -21 + 1.4 \)[/tex]
- [tex]\( 21 + -1.4 \)[/tex]
The most plausible option aligned with the correct approach [tex]\( 21 \div 1.4 \)[/tex] is
[tex]\[ 21 + -1.4 \][/tex]
Therefore, the correct option is:
[tex]\[ 21 + -1.4 \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.