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Tatiana [17]
3 years ago
13

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

Mathematics
1 answer:
Mars2501 [29]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

 

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A ratio shows us the number of times a number contains another number. The ratio of the sides, base area, and volume are equal to 3:1, 9:1, and 27:1, respectively.

<h3>What is a Ratio?</h3>

A ratio shows us the number of times a number contains another number.

Given the two lateral sides of the pyramids, therefore, the ratio of the sides of the pyramid can be written as,

Length of pyramid A: Length of pyramid B = 15:5 = 3:1

Let the length of the base of the pyramid is represented by a.

The ratio of the base area can be written as,

Area of Base of A: Area of base of B = (3a)²:a² = 9:1

The ratio of the volume can be written as,

Volume of A: Volume of B = (3l×3b×3h)/3 : (lbh)/3 = 27:1

Hence, the ratio of the sides, base area, and volume are equal to 3:1, 9:1, and 27:1, respectively.

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1 year ago
What is fractions equivalent by 8/3
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Some fractions equivalent to 8/3 are 16/6, 24/9, and 32/12.
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2 years ago
Find the value of x for which ABCD must be a parallelogram
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They are equal so...

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20 Points Help<br> Solve for y.<br><br><br><br> Enter your answer in the box.<br><br> y =
Oksana_A [137]
It’s an equilateral triangle so all of the triangle angles add up to 180 and since it’s equilateral each angle is 60 degrees. Setting 8y-4=60, 8y=64, thus y=8 degrees.
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Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
Goshia [24]

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

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