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Helga [31]
2 years ago
12

While watching a movie, Ned, Fred, and Jed shared a bowl of popcorn. Ned ate 1/2 of the popcorn, Fred ate 1/4 of the popcorn, an

d Jed ate 1/8 of the popcorn. What fraction of the bowl of popcorn is left?
Mathematics
2 answers:
Charra [1.4K]2 years ago
6 0
1/8 bowl.
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8

4/8+2/8+1/8 = 7/8
1 - 7/8 = 1/8
Lina20 [59]2 years ago
4 0

Answer:

The fraction of the bowl of popcorn left is 1/8.

Step-by-step explanation:

The bowl (or generally, any type of container) of the corn is considered to be a whole portion = 1

In order to find the fraction of the bowl of popcorn left over, subtract the portion that Ned, Fred and Jed ate respectively, from 1:

1 ―1/2 ― 1/4 ― 1/8 = 1 ― 7/8 = 1/8

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Two bags contain coloured cubes.
spayn [35]

Answer:

equal

Step-by-step explanation:

Bag 1 has 3 red cubes and 1 blue cube.  = 4 cubes

Bag 2 has 3 green cubes, 1 yellow cube, and 1 red cube.= 5 cubes

P ( red bag 1) = red /total = 3/4

P (yellow  bag 2) = yellow /total = 1/5

P(red bag1 , yellow bag2) = 3/4* 1/5 = 3/20

P ( blue bag 1) =blue /total =1/4

P (green  bag 2) = green /total = 3/5

P(blue bag1 , green bag2) = 1/4* 3/5 = 3/20

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3 years ago
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steposvetlana [31]

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3 years ago
Please put these from greatest to least.
ziro4ka [17]

Answer:

Answer is below

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
The equation of the given line is....?
liq [111]

Answer:y=3x+3

Step-by-step explanation: the y-intercept is 3, and the slope is 3/1, which is 3. Technically the answer is not enough information, as it is not given how many units one square is.

7 0
3 years ago
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