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3 years ago

11

The water hose can fill a water basin in 6 minutes, while it takes 8 minutes to empty it with the drain spigot. How long will it

take to fill the empty water basin if the spigot is left open? Enter just the number no words

1 answer:

attashe74 [19]3 years ago

7 0

Answer:24

Step-by-step explanation:

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1/3(x + 2) = 2/3x + 4

olga_2 [115]

For this case we have the following equation:

$\frac {1} {3} (x + 2) = \frac {2} {3} x + 4$

We apply distributive property on the left side of the equation:

$\frac {1} {3} x + \frac {2} {3} = \frac {2} {3} x + 4$

Subtracting $\frac {2} {3} x$ from both sides of the equation:

$\frac {1} {3} x- \frac {2} {3} x + \frac {2} {3} = 4\\- \frac {1} {3} x + \frac {2} {3} = 4$

Subtracting $\frac {2} {3}$ from both sides of the equation:

$- \frac {1} {3} x = 4- \frac {2} {3}\\- \frac {1} {3} x = \frac {12-2} {3}\\- \frac {1} {3} x = \frac {10} {3}$

We multiply by 3 on both sides of the equation:

$-x = \frac {10} {3} * 3\\-x = 10$

We multiply by -1 on both sides of the equation:

$x = -10$

The solution of the equation is $x = -10$

ANswer:

$x = -10$

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3 years ago

How to find lattice parameter from fourier transform cryoem?

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3 years ago

1/5 times 1/5 times 100

IgorLugansk [536]

Answer:

1/1000

Step-by-step explanation:

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2 years ago

Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder

vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be $x$ and $y$ the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>

$4\cdot x +5\cdot y = 32\,oz$ (Eq. 1)

ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>

$x + 8\cdot y = 35\,oz$ (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

$x = 35 - 8\cdot y$

(Eq. 2) is (Eq. 1):

$4\cdot (35-8\cdot y) + 5\cdot y = 32$

$140-32\cdot y +5\cdot y = 32$

$32\cdot y - 5\cdot y = 140-32$

$27\cdot y = 108$

$y = 4\,oz$

From (Eq. 2):

$x = 35 - 8\cdot (4)$

$x = 35 - 32$

$x = 3\,oz$

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

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2 years ago