Which situation results in a final value of exactly zero?
The temperature outside was 50* below 0 at 7:00 am. The temperature rose to 3* in each of the next 4 hours.
Hector earned 7.50 for every 8 hours of work. He used 60 of this money to buy video games.
Mrs.Kaplan received an order to bake 120 cookies she completed the order by baking 24 cookies every 30 minutes over a period of 5 hours.
A runner ran uphill during 2.4 minutes at a rate of 30 feet per minute. The runner ran downhill during 1.2 minutes at a rate of 15 feet per minute.
I'll be glad to check your answer.
Okay, I will say the answer will be A?
3 * 4 = 12
-50 + 12 = -38
Nope.
I'll check one more guess. I suggest you do the math for each of these.
okay, what about be?
b I mean.
Yes, B is correct.
To determine which situation results in a final value of exactly zero, we can analyze each situation individually.
1. The temperature starts at 50 degrees below 0 and rises by 3 degrees in each of the next 4 hours. To find the final temperature, we need to add the increase of 3 degrees for each of the 4 hours to the initial temperature of -50 degrees.
Final temperature = -50 + (4 * 3) = -50 + 12 = -38 degrees
The final temperature is not zero in this situation.
2. Hector earns $7.50 for every 8 hours of work and decides to use $60 of his earnings to buy video games. We need to subtract the amount he spent on video games from his total earnings to find the final value.
Final value = Total earnings - Amount spent on video games
Hector earns $7.50 for every 8 hours, so for a total of 8 hours, he would earn (8 / 8) * $7.50 = $7.50.
Hector's total earnings = $7.50 * (Total hours worked / 8)
Given that Hector used $60 of his earnings to buy video games, we can set up the following equation:
$7.50 * (Total hours worked / 8) - $60 = 0
Solving this equation will give us the total hours worked.
3. Mrs. Kaplan receives an order to bake 120 cookies and completes the order by baking 24 cookies every 30 minutes over a period of 5 hours. We need to determine if she bakes exactly 120 cookies or if she bakes more or fewer than 120 cookies.
Mrs. Kaplan bakes 24 cookies every 30 minutes, so in one hour (60 minutes), she bakes 24 * (60 / 30) = 48 cookies.
To find the total number of cookies Mrs. Kaplan bakes in 5 hours, we multiply the number of cookies she bakes in one hour by 5:
Total number of cookies = 48 cookies/hour * 5 hours = 240 cookies
Mrs. Kaplan bakes 240 cookies, which is more than the required 120 cookies.
4. The runner runs uphill for 2.4 minutes at a rate of 30 feet per minute, and then runs downhill for 1.2 minutes at a rate of 15 feet per minute. We need to determine the total distance covered by the runner.
To calculate the distance covered uphill, we multiply the rate of 30 feet per minute by the time of 2.4 minutes:
Distance uphill = 30 feet/minute * 2.4 minutes = 72 feet
To calculate the distance covered downhill, we multiply the rate of 15 feet per minute by the time of 1.2 minutes:
Distance downhill = 15 feet/minute * 1.2 minutes = 18 feet
The total distance covered is the sum of the distances covered uphill and downhill:
Total distance = Distance uphill + Distance downhill = 72 feet + 18 feet = 90 feet
The total distance covered by the runner is 90 feet, which is not zero.
After analyzing all the situations, we can conclude that none of them result in a final value of exactly zero.