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Gwar [14]
3 years ago
14

Find the slope of a pipe that slopes down 1/5 inch per foot.

Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:

-\dfrac{1}{60}

Step-by-step explanation:

\text{Rate }=-\dfrac{1}{5} in/foot

It is negative because slopes down.

Slope is dimensionless quantity.

So, change the rate in/foot dimensionless.

As we know, 1 foot = 12 in

\text{Slope }=-\dfrac{1\text{ in}}{5\text{ foot}}\times \dfrac{1\text{ foot}}{12\text{ in}}

cancel in and foot from top and bottom

\text{Slope }=-\dfrac{1}{5}\times \dfrac{1}{12}

\text{Slope }=-\dfrac{1}{5\times 12}

\text{Slope }=-\dfrac{1}{60}

Hence, the slope is -\dfrac{1}{60}

vivado [14]3 years ago
3 0

Answer:

  -1/60

Step-by-step explanation:

The slope is "down 1/5 inch per foot".

As a unitless fraction, it is ...

  (-1/5 in)/(12 in) = -1/60

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icang [17]

3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Learn more about inequalities here-

brainly.com/question/24372553

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3 0
2 years ago
Part 7 math work 10th-grade work
Irina-Kira [14]

Answer:

x>11 is the solution to both equations.

Step-by-step explanation:

I apologize for late response I've been busy lately. Anyways here ya go! :

From what I understand it wants us to solve "9x-4>95" so that's what I'll do.

add 4 to each side

9x>99

divide each side by 9

x>11 is the solution to 9x-4>95

For 4x+10>54

subtract 10 from each side

4x>44

divide each side by 4

x>11 is the solution to 4x+10>54

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3 years ago
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PSYCHO15rus [73]
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just olya [345]

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Step-by-step explanation:

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4 0
3 years ago
Joan adopt two kittens snowflake has a mass of 2 kg and midnight has a mass of 997 g what is the difference between the masses o
exis [7]

Answer:

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Now,

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therefore the difference between the masses of the kittens = 2000

- 997

= 1003 gm (is the answer)

7 0
3 years ago
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