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3 years ago

3 times the square of a non zero number is equal to 12 times the number. what is the number?

1 answer:

8 0

Let the number be x, then we have:-

3√x = 12x
squaring both sides:-
9x = 144x^2
144x^2 - 9x = 0
9x( 16x - 1) = 0
16x - 1 = 0 so x = 1/16 answer

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A percent is a rate in which the first term is compared to ______

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Answer:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100

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2 years ago

Alfonso graphs the inequality x greater-than negative 8 using the steps below. Step 1: Draw a number line, and place an open cir

pashok25 [27]

Answer:

i think it is c but idk i am doing the test rn

Step-by-step explanation:

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3 years ago

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Three moons are in the same circular orbit around a planet. The moons are each 120,000 kilometers from the surface of the planet

VladimirAG [237]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

MN is the diameter of the planet which is $MN = 60000$

AM and NC are the distance of moons from the surface of the planet.

$AM = NC = 120000$

Since, angle ABC is given as 90 degree, it means, line AC will pass from the diameter of the planet.

So, distance between moon A and moon C is =

$AC=AM + MN + NC$

$AC = 120000+ 60000+ 120000$

$AC = 300000$

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3 years ago

There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the

mel-nik [20]

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x Divide both sides by 3

y = $\frac{112 - 2x}{3}$

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( $\frac{112 - 2x}{3}$ )

x = (224 - 4x) / 3 Multiply each side by 3.

3x = 224 - 4x Add 4x to each side

3x + 4x = 224

7x = 224 Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112 Subtract 96 from each side.

y = 112 - 96

y = 16

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If a 3 foot pole casts a 4 foot shadow, how high a pole casts a 72 foot shadow?

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73 foot showed.......................

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3 years ago