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Stels [109]
3 years ago
7

Joan waters her plants each day with gallons of water. With a new irrigation system in place, she uses gallons of water each day

. How many gallons of water does she save in a 30-day period with the irrigation system?
Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer:

172\frac{1}{2} gallons

Step-by-step explanation:

Considering she waters her plants with 25 1/2 gallons  i.e 51/2

and with the new system, she does it with 19 3/4 i.e 79/4

taking the difference:

\frac{51}{2} - \frac{70}{4} = \frac{23}{4} gallons per day

For 30 days:

30 x \frac{23}{4} = 172.5 or 172\frac{1}{2} gallons

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3 years ago
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10. A weight hangs on a spring. The vibration period of that weight is the time in which it makes a complete cycle in motion. Su
Alenkinab [10]

The vibration period of the spring will be 0.2 seconds

<em><u>Explanation </u></em>

The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

T= 2\sqrt{\frac{w}{200}}

Given that, the weight(w) = 2.0 kilograms

So, <u>plugging w = 2.0</u> into the above equation, we will get...

T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2

So, the vibration period of the spring will be 0.2 seconds.

8 0
3 years ago
Jane stop to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates to the tot
Maslowich

Answer:

y = x + 4  

Step-by-step explanation:

        Number of gallons still in tank = 4

+ Number of gallons added to tank = <u>x       </u>

                        Total gallons in tank = x + 4

                                                        y = x + 4

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What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​
Andrews [41]
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

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                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

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3 years ago
How do you find 1/2n+3&lt;5
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n < 1

Hope this helps! :)

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