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ratelena [41]
3 years ago
5

Someone help me pls.....

Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:

\dfrac{-x+5}{6x^2-x-12}

Step-by-step explanation:

The denominators are the same. You can add the numerators without any extra work.

=\dfrac{(4x+5)-(5x)}{6x^2-x-12}=\dfrac{-x+5}{6x^2-x-12}

The denominator factors as (2x-3)(3x+4), so there are no factors that will cancel with the numerator.

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What is the ratio for the volumes of two similar Pyramids, given that the ratio of the edge lengths is 8:3?
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Answer:

D

Step-by-step explanation:

Given that the ratio of side lengths = 8 : 3, then

ratio of volumes = 8³ : 3³ = 512 : 27 → D

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3 years ago
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You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.7. Wit
Lina20 [59]

Answer:

0.2416

Step-by-step explanation:

P(forgot to water | dead) = P(forgot and dead) / P(dead)  

->With water it will die with probability 0.45

P(watered and dead) =0.83 x 0.45 = 0.3735

->Without water the plant will die with probability 0.7

P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119

P(dead) =  P(watered and dead) +P(forgot and dead)

P(dead) = 0.3735 + 0.119= 0.4925

P(forgot to water | dead) =0.119 / 0.4925= 0.2416

Therefore, the probability the neighbor forgot to water the plant is 0.2416

8 0
2 years ago
What is 3/9 in its lowest terms?
Eddi Din [679]
The fraction 3/9 is equivalent to 1/3.The fraction 3/9 is equal to 3÷9 and can also be expressed in decimal form as 0.333333.
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A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails an
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Step-by-step explanation:

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3 years ago
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
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Answer:

\frac{\sqrt{10}}{2}

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that a^2+b^2=c^2, where c is the hypotenuse of the triangle, and a and b are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of \sqrt{5}, we have:

x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}

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3 years ago
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