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DedPeter [7]
3 years ago
9

Ten less than five times a number is less than six times the number decreased by eight

Mathematics
1 answer:
Luden [163]3 years ago
4 0

10 - 5x < 6x - 8

We can treat this inequality like a normal algebraic equation.

<em><u>Add 5x to both sides</u></em>

10 < 11x - 8

<em><u>Add 8 to both sides</u></em>

18 < 11x

<em><u>Divide both sides by 11</u></em>

1.64 < x

X is greater than the value 1.64.

Let's plug the number 2 into each value of x to verify.

10 - 5x < 6x - 8

10 - 5*2) < (6 * 2) - 8

10 - 10 < 12 - 8

0 < 4

It's correct.

Now let's plug 1, which is less than 1.64.

10 - 5x < 6x - 8

10 - 5 < 6 - 8

5 < -2

This is not correct, which means that our answer was correct.

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A circle with area 9 pi, has sector with central angle of 17/9 pi radians
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Answer:

The area of the sector is 17/2 π

Step-by-step explanation:

pi = π

To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle

(17π/9 rad) / (2π rad) = 17/18

Now we multiply the area of ​​the circle by this fraction and we will obtain the area of ​​the sector that we want

9π * 17/18 = 17/2 π

The area of the sector is 17/2 π

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Knowing that x^{-1} = \frac{1}{x}, then -3^{-5}= \frac{-1}{243}

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6 0
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Step-by-step explanation:

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