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3 years ago

5/4 gallons of water fill 5/6 of a bucket. How many gallons of water fill the entire bucket?

Mathematics

1 answer:

storchak [24]3 years ago

3 0

5/4 : 5/6

= 5/4 * 6/5

= 1/4 * 6/1

= 1/2 * 3/1

= 3/2 = 1 1/2 = 1.5 gallons

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diamong [38]

Answer:

Yes, both have the same value ( 20) when x = 5.

Step-by-step explanation:

We have two functions:

y = 15 + x

y = 4*x

We want to see if these functions have the same value when x = 5.

Then we just need to replace x by 5 in both equations, and see if the values of y are the same

first function:

y = 15 + 5 = 20

second function:

y = 4*5 = 20

So yes, both functions are equal to 20 when x = 5.

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3 years ago

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A square region with perimeter 60 inches is made with square inch tiles. Bob removes one tile from the square and rearranges the

icang [17]

Answer:

60 inches

Step-by-step explanation:

The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.

<h3>Rectangle dimensions</h3>

The square has a side length of ...

P = 4s ⇒ s = P/4 . . . . . P is perimeter, s is side length

(60 in)/4 = 15 in . . . . length of the side of the square

The square has an area of ...

A = s²

A = (15 in)² = 225 in²

When 1 tile is removed, the resulting area, in square inches, is ...

A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16

<h3>Perimeter</h3>

The perimeter of a rectangle is given by ...

P = 2(L+W)

For this rectangle, the perimeter is ...

P = 2(14 in + 16 in) = 2(30 in) = 60 in

The perimeter of the rectangle is 60 inches.

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2 years ago

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earnstyle [38]

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skelet666 [1.2K]

I got x= 63/59
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3 years ago

The vertices of quadrilateral MNPQ are M(-3,-2), N(-1,4), P(2,4), Q(4,-2). Translate quadrilateral MNPQ using the rule (x,y)-&gt

notsponge [240]

Answer:

Here's what I get.

Step-by-step explanation:

The rule is (x, y) ⟶ (x + 3, y + 4).

That means you must move each point three units to the right and four units up. Thus,

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N(-1, 4) ⟶ N'(2, 8)

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