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2 years ago

Pia uses 6 cups of sugar to make 8 pies. At that rate, how much sugar will it take to make 12 pies?

Mathematics

2 answers:

Volgvan2 years ago

5 0

Answer: 9 cups

Step-by-step explanation: If 6 cups make 8, then 3 cups make 4. so, 9 cups would make 12 pies

lukranit [14]2 years ago

5 0

(6cups/8pies) (xcups/12pies)
Cross multiply, 9 cups is the answer

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A one story home has a total square footage of 1,200. If 900sq ft of the home has a basement, and 300 sq ft has a slab foundatio

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Answer:

it has 1200

Step-by-step explanation:

because 900+300=1200

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1 year ago

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Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the

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Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

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So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

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2 years ago

injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri

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Answer:

The length of the track is approximately 51.7 ft

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Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

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The track has three sides of the square and the distance round a half of a complete circle.

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2 years ago

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