Divide −3/17

Question

by −2/3
(1 point)
Responses

9/34
9 over 34

2/17
2 over 17

−2/17
negative 2 over 17

−9/34.

Answer 1

To divide \(-\frac{3}{17}\) by \(-\frac{2}{3}\), you can multiply by the reciprocal of the second fraction.

Here’s how to do it:

\[ -\frac{3}{17} \div -\frac{2}{3} = -\frac{3}{17} \times -\frac{3}{2} \]

Now, multiply the numerators and the denominators:

\[ = \frac{3 \times 3}{17 \times 2} = \frac{9}{34} \]

So, \(-\frac{3}{17} \div -\frac{2}{3} = \frac{9}{34}\).

The correct response is:

9/34.

Answer 2

Find the product.

4/7(−20/2)


(1 point)
Responses

−2/35
negative 2 over 35

5 5/7
5 and 5 sevenths

−5 5/7
negative 5 and 5 sevenths

−9 3/7

Answer 3

To find the product of \(\frac{4}{7}\) and \(-\frac{20}{2}\), we first simplify \(-\frac{20}{2}\):

\[ -\frac{20}{2} = -10 \]

Now we can multiply:

\[ \frac{4}{7} \times (-10) = -\frac{4 \times 10}{7} = -\frac{40}{7} \]

Next, convert \(-\frac{40}{7}\) to a mixed number:

\[ -\frac{40}{7} = -5 \frac{5}{7} \]

So the final product is:

−5 5/7.

Answer 4

23 of 2323 of 23 Items

Question
The elevation of the basement floor in a building is -15 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof?(1 point)
Responses

22 feet
22 feet

-52 feet
-52 feet

37 feet
37 feet

52 feet
52 feet
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Answer 5

To find the distance from the basement floor to the roof, you can calculate the difference in elevation between the roof and the basement:

1. The elevation of the basement floor is \(-15\) feet.
2. The elevation of the roof is \(37\) feet.

The distance from the basement to the roof is given by:

\[ \text{Distance} = \text{Elevation of the roof} - \text{Elevation of the basement} \]

Substituting in the values:

\[ \text{Distance} = 37 - (-15) = 37 + 15 = 52 \text{ feet} \]

So, the correct response is:

52 feet.