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2 years ago

To prepare one pound of cookies, 3½ ounces of sugar is needed. How much sugar is needed to make one-fourth pound of cookies

Mathematics

1 answer:

Ghella [55]2 years ago

7 0

Step-by-step explanation:

we can assume that the relationship between the amount and weight of the cookie dough and the amount of included sugar is linear.

in other words the ratio of total weight and amount of sugar is constant.

so,

1 pound of cookies correlates to 3 1/2 ounces sugar.

1/4 pound of cookies correlates to (3 1/2)/4 ounces of sugar.

(3 1/2)/4 = (7/2)/4 = 7/8

1/4 pound of cookies needs 7/8 ounces of sugar.

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Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

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4 years ago

Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have

Mariana [72]

Answer :

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3 years ago

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ABCD is a rhombus, where m∠AED = 5x – 10. Use the properties of a rhombus to determine the value of x. Question 10 options: A) x

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Answer:

A) x = 20

Step-by-step explanation:

ABCD is a rhombus, AC and BD are diagonals which intersect each other at point E.

Since, diagonals of a rhombus are perpendicular bisector.

$\therefore \: m \angle AED = 90 \degree \\ \therefore \: (5x - 10) \degree = 90 \degree \\ \therefore \: 5x - 10 = 90 \\ \therefore \: 5x = 90 + 10 \\ \therefore \: 5x = 100 \\ \\ \therefore \: x = \frac{100}{5} \\ \\ \huge \red{ \boxed{ \therefore \: x =20}}$

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