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3 years ago

Find two consecutive odd integers such that 65 more than the lesser is four times the greate

1 answer:

8 0

Let the lesser number be x and y the greater. Then

x + 65 = 4y , Also

y - x = 2
Adding:-

y + 65 = 4y + 2
63 = 3y
y = 21
and
x = 21-2 = 19

Answer the 2 odd numbers are 19 and 21.

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2 years ago

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

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The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

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$Height = 24\ in$

$Width = 28\ in$

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$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

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$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

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Convert feet to inches

$Top = 5\frac 14\times 12\ in+ 12 \ in$

$Top = 63\ in+ 12 \ in$

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The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

$Distance = 96\ in - 75\ in$

$Distance = 21\ in$

Hence, the distance is 21 inches