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3 years ago

11

It takes 12 hours for a single hose to fill a large vat. When a second hose is added, the vat can be filled in 4 hours.

2 answers:

sveticcg [70]3 years ago

8 0

The answer is 3 because you divide 12 and 4

aliina [53]3 years ago

4 0

Its 6 hours.

I should probably explain it, the reason for this is mainly just by dividing the fact that adding the other hose takes away 8 hours of work we can deduce that the amount of water it can put out can do it 2 times faster than the normal hose so the answer is 6

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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

3 0

3 years ago

How can I find the x-intercept in a graph if the equation is 2x+3y=6

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

First you would need to multiply 3y by zero since when finding x intercept, Y is always zero.

2x=6

next you would divide both sides by 2 and you get

X= 3 The ordered pair would be (3,0)

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3 years ago

Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM

valentinak56 [21]

Answer:

10

Step-by-step explanation:

$15.00 / $1.50 = 10

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Lana71 [14]

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3 years ago

If 2x = 1/32 find the value of x

zlopas [31]

Answer:

x = 1/64

Step-by-step explanation:

2x = 1/32

Divide both sides by 2.

Simplify, and you will get 1/64.

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3 years ago