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2 years ago

Simplify: (sq root of) a^2 if a>0 (sq root of) 36x^2 if x≤0

Mathematics

1 answer:

tresset_1 [31]2 years ago

7 0

Answer:

Step-by-step explanation:

1. (sq root of) a^2 if a>0 => √(a^2) = ±a

2. (sq root of) 36x^2 if a>0 => ±6x

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Choose the graph that correctly corresponds to the equation x = 4. graph of a horizontal line through the point (0,4) graph of a

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Graph of a vertical line through the point (4,0)

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2 years ago

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54 students fit on a bus. There are 125

vfiekz [6]

Answer: 3 buses

Step-by-step explanation: If 54 students fit on a bus, and 125 students are in 8th grade,

You should divide.

125 divided by 54 is 2.31...

we can't have 2.31... buses, so we say 3 buses.

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1 year ago

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2 years ago

Habiendose organizado un bingo se ha recaudado $1900. Por la entrada de hombres $15 y mujeres $10 y se ha reportado una asistenc

aev [14]

Answer:

The number of men was $80$

The number of women was $70$

Step-by-step explanation:

The question in English is

Having organized a bingo has raised $1900. For the entrance of men $15 and women $10 and an attendance of 150 people has been reported. Determine the number of men and the number of women who participated in the bingo.

Let

x----> the number of men

y----> the number of women

we know that

$x+y=150$

$x=150-y$ -----> equation A

$15x+10y=1,900$ -----> equation B

substitute equation A in equation B and solve for y

$15(150-y)+10y=1,900$

$2,250-15y+10y=1,900$

$15y-10y=2,250-1,900$

$5y=350$

$y=70$

Find the value of x

$x=150-70=80$

therefore

The number of men was $80$

The number of women was $70$

3 0

2 years ago

A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a

Gala2k [10]

Answer:

2 meters.

Step-by-step explanation:

We know that a cube of sidelength L has a volume:

V = L^3

Here, we know that the volume of water that the cube can hold is:

(1000/125) m^3

Then the volume of our cube is exactly that:

V = (1000/125) m^3

Then we have the equation:

L^3 = (1000/125) m^3

Which we can solve for L

L = ∛((1000/125) m^3 ) = (∛1000/∛125) m

Where we used that:

∛(a/b) = ∛a/∛b

Solving the cubic roots, we get:

L = (10/5) m = 2m

The length of the side of the water tank is 2 meters.

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2 years ago