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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

<u>So, the numbers are 8 , 9 , 10</u>

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Borrow 1 from the whole number to rewrite 8 10/24.

koban [17]

Answer:

A. $7\frac{34}{24}$

Step-by-step explanation:

We are given the expression, $8\frac{10}{24}$

On re-writing the expression after borrowing 1, we have,

$8\frac{10}{24}$ = $7(\frac{10}{24}+1)$

i.e. $8\frac{10}{24}$ = $7(\frac{10}{24}+\frac{24}{24})$

i.e. $8\frac{10}{24}$ = $7\frac{34}{24}$

Thus, the equivalent expression after borrowing 1 from the given expression is $7\frac{34}{24}$ .

Hence, option A is correct.

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Answer:

12 windows

Step-by-step explanation:

Number of windows broken = 40% of 30

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2 years ago

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Answer:

x=37°

Step-by-step explanation:

2x°=74° (vertically opposite angles)

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x=37°

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2 years ago

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Jeffrey set up chairs for a meeting.

Kazeer [188]

Answer:

9x + 3 = 7x + 19

Step-by-step explanation:

Given that,

Jeffrey set up chairs for a meeting.

He arranged the chairs in 9 equal rows but had 3 chairs left over.

Let x be the number of chairs. So,

9x+3 .....(1)

Then he arranged the chairs in 7 equal rows but had 19 chairs left over. So,

7x+19 ......(2)

From equation (1) and (2),

9x+3 = 7x+19

9x-7x = 19-3

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2 years ago

A trapezoid is broken into 2 triangles and 1 rectangle. The triangles both have a base of 2 meters and a height of 5 meters. The

Lemur [1.5K]

Answer:

Part 1) The trapezoid has an area of $20\ m^2$

Part 2) The kite has an area of $21\ m^2$

Part 3) The area of the trapezoid is less than the area of the kite

Step-by-step explanation:

Part 1

Find the area of trapezoid

we know that

The area of trapezoid is equal to the area of two congruent triangles plus the area of a rectangle

$A=2[\frac{1}{2} (2)(5)]+(2)(5)$

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Part 2

Find the area of the kite

we know that

The area of the kite is equal to the area of two congruent triangles

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Part 3

Compare the areas

The trapezoid has an area of $20\ m^2$

The kite has an area of $21\ m^2$

$20\ m^2< 21\ m^2$

therefore

The area of the trapezoid is less than the area of the kite

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