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1): a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?


2): if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?


3): Josie has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?


4): joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3 express the results as an integer.


5): it will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by noon tomorrow?



6): the average temperature at the South Pole is -45 f. The average temperature on the equator is 92 f. How much warmer is the average temperature on the equator than at the South Pole?



7): Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. What was the temperature of the coldest day on record in Felix's town?



8): the elevation of mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between mt. Everest and the Dead Sea?

Verified Answer :

merlynthewhizz

Question 1:

The diver speed is 25 feet for every one minute
So for 10 minutes, the diver would have been dived 25 × 10 = 250 feet
If the diver now is 200 feet below sea level, this means 10 minutes ago, the driver was 200 - 250 = -50 feet below sea level. The negative means the diver, in reality, wasn't below the sea level. The diver was 50 feet above the sea level.

Question 2:

The temperature after it drops 17° from 5° is 5 - 17 = -12°

Question 3:

Josie is spending more than what she has in the bank account, she will end up with an overdraft of 47 - 55 = -$8 

Question 4:

'3' is an odd number, so Joe will lose 10 scores from his scores before tossing the '3'. The integer to describe this is -10 ⇒ (minus 10)

Question 5:

-12° + 25° = 13°

Question 6:

-45° + 92° = 47°

Question 7: 

Five times colder than -4° = 5 × (-4) = -20°

Question 8:

The distance = 29028 - (-485) = 29028 + 485 = 29513 feet

Edufirst

These are 8 questions and 8 answers.

Question 1) a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?

Answer: 450 feet below see level ( -450 feet)

Explanation:

i) pulling up rate: 25 feet / minute

ii) number of feet ascended

iii) number of feet ascended in 10 minutes: 25 feet / minute × 10 minutes = 250 feet

iv) current deep: - 200 feet

v) deep 10 minutes ago: -200 feet - 250 feet = - 450 feet. Which means 450 feet below sea level.

Question2) if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?

Answer: - 12 (12 below zero)

Explanation:

i) Future temperaure = current temperature - decrease in temperature

ii) Future temperature = 5 - 17 = - 12, which means 12 below zero

Question3) Josie has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?

Answer: - $ 8 (she will owe 8$)

i) Balance = current balance - new checks

ii) Balance = $ 47 - $ 55 = - $8 (she will owe $ 8)

Question 4) Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3 express the results as an integer.

Answer: he will lose 30.

Explanation:

i) 3 is odd

ii) 1Therefore, the result is that he will lose 10 times the number that comes up

⇒ Loss = 10 × 3 = 30

Question 5) it will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by noon tomorrow?

Answer: 13

Explanation:

i) Current temperature: - 12

ii) Change foreseen: + 25 (increase)

iii) Foreseen temperature = - 12 + 25 = 13

Question 6) the average temperature at the South Pole is -45 F. The average temperature on the equator is 92 F. How much warmer is the average temperature on the equator than at the South Pole?

Answer: 137 F

Explanation:

i) Temperature at the South Pole = - 45F

ii) Temperature on the Equator = 92 F

iii) Difference in temperature = temperature on the Equator - temperature and the South Pole

iv) Difference in temperature = 92F - (-45F) = 92F + 45F = 137F

Remember the law of signs: ( - ) × ( - ) = +

∴ It is 137F warmer on the Equator than at the South Pole.

Question 7) Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. What was the temperature of the coldest day on record in Felix's town?

Answer: - 20C

Explanation:

i) Yesterday's temperature = - 4°C

ii) Coldest day's temperature = 5 × (-4C) = - 20C

Conclusion: the coldest day's temperature is -20°.

Question 8) the elevation of mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between mt. Everest and the Dead Sea?

Answer: 29,513 feet

Explanation:

i) Elevation of Mt Everest = 29,028 feet

ii) Elevation of the Dead Sea = - 485 feet

iii) Difference in the elevation = Elevation of Mt Everest - elevation of the Dead Sea

iv) Difference in the elevation = 29,028 feet - ( - 485 feet) = 29,028 feet + 485 feet = 29,513 feet.

Remember the law of the signs: ( - ) × ( - ) = +

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