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3 years ago

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One pump fills a tank 3 times as fast as another pump. If the pumps work together, they fill the tank in 12 minutes. How long d

oes it take for the faster pump to fill the tank?

1 answer:

antiseptic1488 [7]3 years ago

3 0

Well I think in 4 mins because the faster pump pumped 3 times faster and they fill the tank in 12 mins so yea cause 12 divided by 3 but not 100% sure I'm using mental math

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I need help asap someone please help me i dont understand this question so can someone help me

eduard

Answer:

we conclude that:

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}$

Step-by-step explanation:

Given the expression

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{2p}{4p^2-1}\times \frac{6p+3}{6p^3}$

$=\frac{2p}{4p^2-1}\times \frac{2p+1}{2p^3}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{2p\left(2p+1\right)}{\left(4p^2-1\right)\times \:2p^3}$

cancel the common factor: 2

$=\frac{p\left(2p+1\right)}{\left(4p^2-1\right)p^3}$

cancel the common factor: p

$=\frac{2p+1}{p^2\left(4p^2-1\right)}$

$=\frac{2p+1}{p^2\left(2p+1\right)\left(2p-1\right)}$

cancel the common factor: 2p+1

$=\frac{1}{p^2\left(2p-1\right)}$

Expanding

$=\frac{1}{2p^3-p^2}$

Thus, we conclude that:

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}$

7 0

3 years ago

The midpoint of \overline{\text{AB}}

Schach [20]

Answer:

<em>The coordinates of b are: B=(-7,-8)</em>

Step-by-step explanation:

We are given the coordinates of the midpoint of $\overline{\text{AB}}$ as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

$\displaystyle x_m=\frac{x_a+x_b}{2}$

$\displaystyle y_m=\frac{y_a+y_b}{2}$

We know xa=-3 and xm=-5. Solve the first equation for xb:

$2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a$

Substituting:

$x_b=2\cdot (-5)-(-3)=-10+3$

$x_b=-7$

We can solve the second equation for xb and get:

$y_b=2y_m-y_a$

Since ya=4 and ym=-2, then:

$y_b=2\cdot (-2)-(4)=-4-4$

$y_b=-8$

Thus, the coordinates of b are: B=(-7,-8)

4 0

3 years ago

Which equation represents the line that passes through (-3,5) and is parallel to the graph of y= -2/3x+5

Nostrana [21]

Parallel to the graph of y = -2/3x + 5
means that it has the same slope

Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b

plug that back into the equation
y = -2/3x + b
y = -2/3x + 3

The answer is <span>B. y= -2/3x+3</span>

This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).

Hope this helps :)

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2 years ago

Which system is equivalent to

levacccp [35]

Answer:

a

Step-by-step explanation:

4 0

3 years ago

Find the volume of the figure. Round your answer to the nearest tenth if necessary

Stella [2.4K]

The answer would be V= 192k

8 0

3 years ago