Tina was writing a report about the weather in Fairbanks, Alaska. Tina included this information about the weather in Fairbanks in her report.
Average Summer Temperature: 61℉
Average Winter Temperature: -12℉
What was the difference between the average summer temperature and the average winter temperature in ℉?
(1 point)
Responses
24.5℉
24.5 ℉
49℉
49 ℉
61℉
61 ℉
73℉
The difference between the average summer temperature and the average winter temperature in Fairbanks, Alaska is 73℉ - (-12℉) = 85℉.
not an option\
I apologize for the mistake. The correct answer is 61℉ - (-12℉) = 73℉. Therefore, the difference between the average summer temperature and the average winter temperature in Fairbanks, Alaska is 73℉.
Simplify the following expression.
-851 - (-394)
(1 point)
Responses
-457
-457
457
457
-456
-456
-1,245
-1,245
-851 - (-394) can be simplified as follows:
-851 - (-394) = -851 + 394
When adding a negative number, it is the same as subtracting its positive equivalent, so:
-851 + 394 = -457
Therefore, the simplified expression is -457.
Bertha and Vernon are competing in a diving competition. Bertha's dive ended -30 m from the starting platform. Vernon's dive ended -6 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?(1 point)
Responses
120
120
-36
-36
-24
-24
5
The distance between the end of Bertha's dive and the end of Vernon's dive can be calculated by finding the absolute value of the difference between their distances from the starting platform.
The absolute value of -30 - (-6) is equal to the absolute value of -30 + 6, which is 24.
Therefore, the end of Bertha's dive was 24 meters farther from the starting platform than the end of Vernon's dive.
Hence, the answer is -24 (meters).
Find the product:
(-5)(-3)(-3)
(1 point)
Responses
-30
-30
-45
-45
30
30
45
The product of (-5)(-3)(-3) can be calculated as follows:
(-5)(-3)(-3) = 15(-3) = -45
Therefore, the product is -45.
What is the quotient of 100 ÷ (-50)?(1 point)
Responses
-2
-2
2
2
-½
-½
½
The quotient of 100 ÷ (-50) is calculated as follows:
100 ÷ (-50) = -2
Therefore, the quotient is -2.
If the temperature dropped by 42 degrees over 7 hours, how much did the temperature change per hour?(1 point)
Responses
-7℉
-7 ℉
-6℉
-6 ℉
-35℉
-35 ℉
-49℉
To find the temperature change per hour, we divide the total temperature change by the number of hours:
Temperature change per hour = Total temperature change / Number of hours
In this case, the temperature change is -42 degrees and the number of hours is 7.
Temperature change per hour = -42 / 7 = -6
Therefore, the temperature changed by -6℉ per hour.
On a given morning, the temperature was 71℉. The temperature dropped 5℉ and then rose 8℉. How much does the temperature need to rise or fall to return to the initial temperature of 71℉?(1 point)
Responses
Fall 8℉
Fall 8 ℉
Rise 8℉
Rise 8 ℉
Fall 3℉
Fall 3 ℉
Rise 5℉
To return to the initial temperature of 71℉, we need to undo the temperature changes that occurred.
Initially, the temperature dropped 5℉ and then rose 8℉.
To undo the drop of 5℉, we need the temperature to rise by 5℉.
To undo the rise of 8℉, we need the temperature to fall by 8℉.
Therefore, the temperature needs to fall by 8℉ to return to the initial temperature of 71℉.
Hence, the answer is "Fall 8℉".
Determine which of these illustrates two quantities that combine to make 0.(1 point)
Responses
Latanya lost ten pounds and then gained six pounds.
Latanya lost ten pounds and then gained six pounds.
A business's profit if its income is more than its expenses.
A business's profit if its income is more than its expenses.
It is twenty degrees below zero and then the temperature rises ten degrees.
It is twenty degrees below zero and then the temperature rises ten degrees.
Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
The example that illustrates two quantities that combine to make 0 is:
Marty gets ten dollars for his allowance and then spends ten dollars at the movies.
In this case, Marty starts with a gain of ten dollars, but then he spends ten dollars, resulting in a net change of zero dollars. The two quantities (gain and loss) combine to make 0.