In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.)

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(1 point)
Responses

21
21

-53
-53

53
53

-21
-21
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7 answers

To find the distance from the basement floor at -16 feet to the roof at 37 feet, we need to calculate the difference in elevation between these two points.

The elevation of the basement floor is -16 feet, and the elevation of the roof is 37 feet. The distance can be determined by subtracting the basement elevation from the roof elevation:

\[ \text{Distance} = \text{Roof Elevation} - \text{Basement Elevation} \] \[ \text{Distance} = 37 - (-16) \] \[ \text{Distance} = 37 + 16 \] \[ \text{Distance} = 53 \text{ feet} \]

Thus, the distance from the basement floor to the roof is 53 feet.

The correct response is:

53

Simplify the expression.

−8.5−(−3.7)=

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(1 point)
Responses

12.2
12.2

-12.2
-12.2

4.8
4.8

-4.8

To simplify the expression \(-8.5 - (-3.7)\), we first need to recognize that subtracting a negative number is equivalent to adding the positive version of that number:

\[ -8.5 - (-3.7) = -8.5 + 3.7 \]

Now, we perform the addition:

\[ -8.5 + 3.7 \]

If we think of it on a number line, moving 3.7 units to the right from -8.5:

  1. The first step is to find the total: \[ -8.5 + 3.7 = -4.8 \]

Thus, the simplified expression is:

\(-4.8\)

The correct response is:

-4.8

Simplify the expression.

25−(−80)=
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(1 point)
Responses

115
115

105
105

-55
-55

565

To simplify the expression \(25 - (-80)\), we recognize that subtracting a negative number is equivalent to adding the positive version of that number:

\[ 25 - (-80) = 25 + 80 \]

Now, we can perform the addition:

\[ 25 + 80 = 105 \]

Thus, the simplified expression is:

105

The correct response is:

105

Simplify the expression.

−18.5−17.5
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(1 point)
Responses

36
36

-36
-36

1
1

-1

To simplify the expression \(-18.5 - 17.5\), we can combine the two negative numbers:

\[ -18.5 - 17.5 = -(18.5 + 17.5) \]

Now we can add the two values:

\[ 18.5 + 17.5 = 36 \]

Therefore, we have:

\[ -18.5 - 17.5 = -36 \]

Thus, the simplified expression is:

\(-36\)

The correct response is:

-36