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3 years ago

Please help with with number 3,4 and e-g please and also explain how you got the answer

Mathematics

1 answer:

Annette [7]3 years ago

7 0

e: 1/2 x (2)=8*2 x=16
f:(-4/3)(-3/4 x)=9(-4/3) x=-36/3= -12 x=-12
g(-8/7)(-7/8 x)=(-8/7)(-21/64) Cross simplify and you get 3/8 x=3/8

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An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?

Serggg [28]

<span>468 3/4 divided by 6 1/4 = 75 sections</span>

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3 years ago

If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

HELP ME PLEASEE I WILL MARK BRAINLIEST

igor_vitrenko [27]

Answer: $21.6

Step-by-step explanation: you multiply 1.20 by 18

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3 years ago

Read 2 more answers

What is the value of x?

yuradex [85]

Answer:

x = 12

Step-by-step explanation:

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3 years ago

What is equivalent to 5-squared3

pentagon [3]

Answer: 125

Step-by-step explanation:

5^3=5*5*5=125

-5^3=(-5)*(-5)*(-5)=25*(-5)=-125

5 0

3 years ago