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3 years ago

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A new type of pump can drain a certain pool in 6 hours. An older pump can drain the pool in 14 hours. How long will it take both

pumps working together to drain the pool?

1 answer:

crimeas [40]3 years ago

3 0

Needs to use reciprocals:

time*(1/6+1/14) = 1 pool,

time = 1/(1/6+1/14) = 84/20 = 21/5 = 4.2 hours

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The sum of 2 numbers is 18 and there difference is 6

uranmaximum [27]

Answer:

The two numbers are 6 and 12.

Step-by-step explanation:

So, let's start off, with x+y = 18 and x-y = 6.

Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.

You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.

So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.

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In conclusion:

6 + 12 = 18

12 - 18 = 6

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3 years ago

The ratio of measures of two complementary angles is 4:5

Drupady [299]

Answer:

angles are 40 and 50

Step-by-step explanation:

let angles be 4x , 5x

4x + 5x = 90

x= 90 / 9

x= 10

angles are 4x , 5x

therefore angles are 40 , 50

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4 years ago

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Scorpion4ik [409]

V=150.8
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3 years ago

_____________________________

ValentinkaMS [17]

Step-by-step explanation:

hope it is helpful to you

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3 years ago

Please help me with these 5 questions!

kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

7 0

3 years ago