On a Friday morning, the temperature was 67 °F

. The temperature dropped 6 °F
and then rose 10 °F
. How much does the temperature need to rise or fall to return to the initial temperature of 67 °F
?

Desmos Scientific Calculator

(1 point)
Responses

Fall 4 °F
Fall 4 °F

Rise 6 °F
Rise 6 °F

Fall 10 °F
Fall 10 °F

Rise 4 °F

5 answers

Let's break down the temperature changes step by step.

  1. The initial temperature was 67 °F.
  2. The temperature dropped by 6 °F:
    \[ 67 °F - 6 °F = 61 °F \]
  3. After that, the temperature rose by 10 °F:
    \[ 61 °F + 10 °F = 71 °F \]

Now we have the current temperature at 71 °F. To find out how much the temperature needs to rise or fall to return to the initial temperature of 67 °F, we can calculate:

\[ 71 °F - 67 °F = 4 °F \]

Since the current temperature (71 °F) is higher than the initial temperature (67 °F), we need to fall by 4 °F.

Thus, the answer is:

Fall 4 °F

Simplify the expression.

Desmos Scientific Calculator



(1 point)
|−7|+|6|=

To simplify the expression \( |−7| + |6| \), we first need to calculate the absolute values:

  1. \( |−7| = 7 \) (the absolute value of -7 is 7)
  2. \( |6| = 6 \) (the absolute value of 6 is 6)

Now we can add these absolute values together:

\[ 7 + 6 = 13 \]

Thus, the simplified expression is:

\[ |−7| + |6| = 13 \]

The Snake Eyes Roller Coaster climbs 125 feet from ground level then drops 60 feet before climbing another 135 feet. How far does the coaster need to drop or climb to be back at ground level?

Desmos Scientific Calculator

(1 point)
Responses

drop 50 feet
drop 50 feet

drop 200 feet
drop 200 feet

climb 50 feet
climb 50 feet

climb 200 feet
climb 200 feet

Let's calculate the total height of the Snake Eyes Roller Coaster step by step:

  1. Climbs 125 feet from ground level:
    \[ 0 + 125 = 125 \text{ feet} \]

  2. Drops 60 feet:
    \[ 125 - 60 = 65 \text{ feet} \]

  3. Climbs another 135 feet:
    \[ 65 + 135 = 200 \text{ feet} \]

Now, the coaster is at a height of 200 feet. To return to ground level (0 feet), it needs to drop down to 0:

\[ 200 - 0 = 200 \text{ feet} \]

Thus, the coaster needs to drop 200 feet to be back at ground level.

The correct response is:

drop 200 feet.