The temperature was 68°F. Later that day the temperature was 82°F. How much does the temperature need to rise or fall to return to the original temperature of 68°F?

Responses.
A Fall 14°FFall 14°F
B Fall 16°FFall 16°F
C Rise 14°FRise 14°F
D Rise 16°F

11 answers

To determine how much the temperature needs to change to return to the original temperature of 68°F from a current temperature of 82°F, you can subtract the original temperature from the current temperature:

82°F - 68°F = 14°F.

Since you want to return to the original temperature, the temperature must fall by 14°F.

Therefore, the correct response is:

A Fall 14°F.

3 of 213 of 21 Items
02:11
Question
Which BEST describes a situation in which opposite quantities combine to make zero?
Responses
A For the new school year, Amy's mom deposited $50 in her school lunch account. During the first 4 weeks of school, Amy spent $12 each week on lunches.For the new school year, Amy's mom deposited $50 in her school lunch account. During the first 4 weeks of school, Amy spent $12 each week on lunches.
B Burt is parking his car. He drives 30 feet forward, turns left, and drives another 30 feet to the parking space.Burt is parking his car. He drives 30 feet forward, turns left, and drives another 30 feet to the parking space.
C During a football game, Kyle lost five yards on the first play, then he gained five yards on the second play.During a football game, Kyle lost five yards on the first play, then he gained five yards on the second play.
D Mark deposited $100 in his savings account and then added $100 the following month.

The situation that BEST describes opposite quantities combining to make zero is:

C. During a football game, Kyle lost five yards on the first play, then he gained five yards on the second play.

In this case, the loss of five yards and the gain of five yards cancel each other out, resulting in a net change of zero yards.

Which situation results in a final value of zero?
Responses
A The temperature after an increase of 7° C from a temperature of –7° C. The temperature after an increase of 7° C from a temperature of –7° C.
B A video game score of 500 points for round 1 and 500 points for round 2.A video game score of 500 points for round 1 and 500 points for round 2.
C The distance above sea level after increasing 32 feet from a depth of 32 feet above sea level.The distance above sea level after increasing 32 feet from a depth of 32 feet above sea level.
D The amount of money Charlotte had if she had $12 and then her mom gave her $12.

To determine which situation results in a final value of zero, let's analyze each option:

A. The temperature after an increase of 7° C from a temperature of –7° C:

  • Starting temperature: –7° C
  • After increase: –7° C + 7° C = 0° C (This results in zero.)

B. A video game score of 500 points for round 1 and 500 points for round 2:

  • Total score: 500 + 500 = 1000 points (This does not result in zero.)

C. The distance above sea level after increasing 32 feet from a depth of 32 feet:

  • Starting depth: –32 feet (below sea level)
  • After increase: –32 + 32 = 0 feet (This results in zero.)

D. The amount of money Charlotte had if she had $12 and then her mom gave her $12:

  • Total amount: 12 + 12 = $24 (This does not result in zero.)

Both A and C result in a final value of zero. However, if you must choose just one, option C provides a clearer situation of returning to sea level (zero feet).

So the best answer is C: The distance above sea level after increasing 32 feet from a depth of 32 feet above sea level.

A seagull is flying
feet above the surface of the water and sees a large fish swimming
feet below the surface of the water, as depicted in the model below.

If the seagull is directly above the large fish, then how many feet separate the seagull and the large fish?

feet

To determine the distance that separates the seagull and the fish, you need to consider both their positions relative to the surface of the water.

Let:

  • x = the height of the seagull above the surface (in feet).
  • y = the depth of the fish below the surface (in feet).

The distance between the seagull and the fish would be the sum of their distances from the surface (since one is above and the other is below the surface). Therefore, the distance separating them would be:

Distance = x+y feet.

If you provide specific values for x (the height of the seagull) and y (the depth of the fish), I can calculate the exact distance for you!

Yesterday the low temperature in Minneapolis was -3 f
and the high temperature was 15 f
.

How many degrees warmer was yesterday's high temperature than yesterday's low temperature?

To find out how many degrees warmer yesterday's high temperature (15°F) was than yesterday's low temperature (-3°F), you can subtract the low temperature from the high temperature:

Difference=High TemperatureLow Temperature

Substituting the values:

Difference=15°F(3°F)

This simplifies to:

15°F+3°F=18°F

So, yesterday's high temperature was 18 degrees warmer than yesterday's low temperature.

What is the vertical distance between a gopher that is 1 1/2

feet under the surface of the ground and a squirrel in a hole in a tree trunk that is 9 3/4

feet above the ground?
Responses
A

feet 8 and 1 fourth feet
B

feet11 and 1 fourth feet
C

feet 10 and 3 fourths feet
D

10 1/4 feet

To find the vertical distance between the gopher and the squirrel, you can add the absolute values of their distances from the ground (the depth of the gopher and the height of the squirrel).

  1. Gopher's depth: 1 1/2 feet (which is -1.5 feet below the surface)
  2. Squirrel's height: 9 3/4 feet (which is +9.75 feet above the surface)

Now we will convert the fractions to improper fractions for easier calculation:

  • 1 1/2 feet = 32 feet (since 1×2+1=3)
  • 9 3/4 feet = 394 feet (since 9×4+3=39)

Now convert 32 to have a common denominator with 394:

32=3×22×2=64

Now add the distances:

Distance=(394+64)=39+64=454

Now convert 454 back to a mixed number:

454=1114 (because 45 divided by 4 is 11 with a remainder of 1)

Thus, the vertical distance between the gopher and the squirrel is 11 and 1/4 feet.

So the answer is B 11 and 1/4 feet.