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Gennadij [26K]
3 years ago
11

A pipe can fill a tank in 120 minutes while the drain can drain it in 150 minutes. If the drain is left open and the fill pipe i

s turned on, how long will it take to fill the tub?
Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

600 minutes or 10 hours

Step-by-step explanation:

We can solve this problem by looking at the net increase per minute. To find this, we can set rates for each value.

The pipe will be able to fill 1/120 of the tank in a minute, and the drain will drain 1/150 in a minute. So subtract the two:

1/120 - 1/150 = 1/600 of the tank per minute

Therefore you need 600 minutes to fill the tank, or 10 hours.

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(1 point) A particle starts at the point P=(−2,−1,3)P=(−2,−1,3) when t=0t=0 and moves along a straight line toward Q=(−4,0,6)Q=(
Ahat [919]

Answer:

The position is given by r(t) =  (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

Step-by-step explanation:

The direction is given by the difference between the starting point and the end point, thus it is (-4,0,6)-(-2,-1,3) = (-2,1,3). The norm of this vector is        √( (-2)²+1²+3²) = √14 = 3.7416 secons

Since the speed is 7 cm/sec, we need to multiply this vector by 7/√14 = √3.5 in order to obtain how much does the particle advance each second.

As a consecuence, it advances (-2,1,3) * √3.5 = (- √14, √3.5, 3 √3.5)

And, as a result, the position after t seconds is given by the function

r(t) = (-2,1,3) + t (-√14, √3.5, 3 √3.5) = (-2 -t √14, 1 + √3.5, 3 + 3√3.5)

8 0
3 years ago
Which phrase is a description of 2m + 7
In-s [12.5K]

Seven more than twice a number. Hopes this helps mate <3

-Maddy

5 0
3 years ago
Read 2 more answers
I need the answer plzz now
Verizon [17]

Answer:

Ea and St

Step-by-step explanation:

6 0
3 years ago
2X-1/4y=1 solve for Y
Schach [20]

Answer:

Y=8x-4

Step-by-step explanation:

2x -1/4y= 1

2x -1 = 1/4 y

4(2x -1) =y

8x -4 = y

5 0
2 years ago
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]

Answer:

y=\frac{1}{2}x-2

Step-by-step explanation:

We have been given two points on a line (-6,-5) and (-4,-4). We are asked to write an equation passing through these points.

We will write our equation in slope-intercept form of equation y=mx+b, where,

m = Slope of line,

b = Initial value or the y-intercept.

Let us find slope of given line using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

Let point (-6,-5)=(x_1,y_1) and point (-4,-4)=(x_2,y_2).

m=\frac{-4-(-5)}{-4-(-6)}

m=\frac{-4+5}{-4+6}

m=\frac{1}{2}

Now, we will substitute m=\frac{1}{2} and coordinates of point (-6,-5) in slope-intercept form of equation as:

-5=\frac{1}{2}*(-6)+b

-5=-3+b

-5+3=-3+3+b

-2=b

Upon substituting m=\frac{1}{2} and b=-2 in slope-intercept form of equation, we will get our required equation as:

y=\frac{1}{2}x-2

Therefore, our required equation would be y=\frac{1}{2}x-2.

8 0
2 years ago
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