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PolarNik [594]
3 years ago
5

An above ground swimming pool is leaking after 1 and 1/2 hours the pool has leaked 7/8 of a gallon of water how many gallons of

water per hour is the swimming pool leaking
Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

In 1 hour the amount of water leaking from pool = \frac{7}{12} gallon of water

Step-by-step explanation:

Given as :

The amount of Leaking of water from the pool = \frac{7}{8} gallon

The time taken fro leaking \frac{7}{8} gallon of water = 1 \frac{1}{2} gallon  hour

Or The time taken fro leaking \frac{7}{8} gallon of water = \frac{3}{2} hour

∵ \frac{3}{2} hour takes for leaking \frac{7}{8} gallon of water

∴ In 1 hour the amount of water leaking from pool = \frac{7}{8}\setminus \frac{3}{2}

Or, In 1 hour the amount of water leaking from pool = \frac{7}{12} gallon of water    Answer

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The Skittles jar has a radius of 3.5 cm and a height of 11.5 cm. Using the two given boxes for reference what would be a good es
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Answer:

1052

Step-by-step explanation:

The two given boxes for reference are presented below.

Since we know the dimensions of the first container, we can calculate its volume.

V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3

The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.

v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3

The second container held 258 skittles.

The volume of the second box is:

V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3

Using this facts, the volume of a single skittle would be

v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3

Therefore,  the volume of  single skittle is around to 0.42 cm³.

A skittle jar is a cylinder. Its volume is calculated by the formula

V = r^2h \pi,

where r is the radius and h is the height. From the given data, we have r = 3.15 \text{cm} and h = 11.5 \text{cm}. Hence, the volume of the jar is

V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3

Now, we can determine the number of skittles in the jar. Let n be the number of skittles in the jar. Then,

n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\

4 0
3 years ago
Find the missing side of the right<br> triangle and simplify your answer.<br> X<br> 8<br> 16
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Answer:

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Step-by-step explanation:

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3 years ago
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exis [7]

Answer:

b = log_{10}(a) \\  \\  \therefore \:  {10}^{b}  = a

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3 years ago
Pls help me on this i don't know what to do ​
Katarina [22]

Answer:

\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)

Step-by-step explanation:

x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}

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3 years ago
The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet t
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Answer: 0.6827

Step-by-step explanation:

Given : The resistance of a strain gauge is normally distributed .

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Standard deviation : \sigma=0.3

Let x be the random variable that represents the resistance of a strain gauge is normally distributed .

z-score : z=\dfrac{x-\mu}{\sigma}

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For x = 100.7

z=\dfrac{100.7-100}{0.7}=1

For x = 99.3

z=\dfrac{99.3-100}{0.7}=-1

By using the standard normal distribution table, The proportion of gauges is acceptable is given by:-

P(99.3

Hence, the proportion of gauges is acceptable=0.6827

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3 years ago
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