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2 years ago

Solve x/8 + 5/6 =2 . Justify each step.

Mathematics

2 answers:

viva [34]2 years ago

8 0

Answer:

x=9 and 1/3

Step-by-step explanation:

x/8+5/6=2

Common denominator will be 48. So:

6x/48+40/48=2

That means that (6x+40)/48=2

(since they both have the same denominator)

Now, multiply 2 by 48. You get 96.

6x+40=96

Subtract 40

6x=56

x=9 and 1/3

WARRIOR [948]2 years ago

6 0

Answer:

x=28/3

Step-by-step explanation:

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Answer:

the answer is B

Step-by-step explanation:

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3 years ago

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Which equation best describes the pattern in the table below?

cupoosta [38]

Answer:

Step-by-step explanation:

The pattern in the table adds 1.50 for ever 15 minutes. That means per minute it adds $\frac{1.5}{15} =0.10$ or 10 cents. This means you multiply each minute by 0.10 to find the cost. This is the equation c = 0.10m.

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3 years ago

I WILL GIVE BRAINLIEST to who answers this question correctly.

Alborosie

You start counting from 0 onwards:

C = 6
D = 8

Then C x D = 48

So the product CxD is situated at 48 units from 0

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2 years ago

Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item pro

OleMash [197]

Answer:

P(A∣D) = 0.667

Step-by-step explanation:

We are given;

P(A) = 3P(B)

P(D|A) = 0.03

P(D|B) = 0.045

Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.

Using Bayes' Rule and Law of Total Probability, we will get;

P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]

Plugging in the relevant values, we have;

P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]

P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]

P(B) will cancel out to give;

P(A∣D) = 0.09/0.135

P(A∣D) = 0.667

7 0

3 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

3 years ago