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pentagon [3]
3 years ago
10

a recipe called for 2 cups or liquid, which includes 1/4 cups molasses. What fraction of the liquid in the recipe is molasses?

Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0
1 3/4 of the cup will be the other liquid because if you take 1/4 from 2, that would be 1 3/4.
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Steve makes a banner with an area of 8 square feet. On a grid, draw all possible rectangles with an area of 8 square feet and si
Maksim231197 [3]

Answer:

The correct answers are with side lengths 1 feet and 8 feet, the perimeter is 18 feet; and with side lengths 2 feet and 4 feet, the perimeter is 12 feet.

Step-by-step explanation:

The area of a rectangular banner is 8 square feet.

The side lengths of this rectangular banner are whole numbers.

Thus the possible pairs of side lengths that would give 8 when multiplied with each other are (1 , 8) ; (2 , 4).

So the possible side lengths are 1 feet and 8 feet or 2 feet and 4 feet.

The perimeter when the side lengths are 1 feet and 8 feet are 18 feet.

The perimeter when the side lengths are 2 feet and 4 feet are 12 feet.

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Step-by-step explanation:

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The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?
Rufina [12.5K]

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

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Here,

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d = Common Difference = 2

Using the values, we get:

S_{100}=\frac{100}{2}(2(1)+99*2)\\   \\  S_{100}=10000

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4 0
3 years ago
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