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3 years ago

The sum of 3 consecutive number multiples of 6 is 162 find thesse numbers

Mathematics

1 answer:

MAXImum [283]3 years ago

7 0

let the numbers are x , x+1 ,x+2

∴ 6 [ x + (x+1) +(x+2) ] = 162

∴ x + (x+1) + (x+2) = 162/6 = 27

∴3x + 3 = 27

∴ 3x = 27 - 3 = 24

∴ x = 24/3 = 8

So, the numbers are 8 , 9 , 10

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Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

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$\approx$ 17.5% per annum

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3 years ago

The Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century

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The probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

<h3>What is the Venn diagram?</h3>

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

f = 100 stamps in the collection

A = stamps in the 20th century

B = British stamps

We can make a linear equation to solve for x as the total stamps are 100 in the collection.

$\rm x(x-6)+x+2x+32= 100\\\\\rm x^2-6x+x+2x+32 = 100\\\\\rm x^2-3x-68 = 0$

After solving x = 9.88, or x = -6.88

Probability can't be negative so neglecting the negative ones

x = 9.88

The probability that it is British:

$=\rm \frac{x +2x + 32}{100}$

$=\rm \frac{9.88 +2(9.88) + 32}{100}$

= 61.64/100

= 0.6164

Thus, the probability that it is British is 0.6164 if the Venn diagram shows the information about a stamp collection. f = 100 stamps in the collection A = stamps in the 20th century B = British stamps A B. X(X - 6) х 2x + 32 28 A stamp is chosen at random.

Learn more about the Venn diagram here:

brainly.com/question/1024798

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2 years ago

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