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Wittaler [7]
3 years ago
9

Please answer :( Delano is baking cookies. He needs 2/3 cup of flour for each batch of cookies. If each batch represents 1/4 of

the total number of cookies he wants to bring to class, how many cups of flour does he need for all the cookies he wants to make? Enter your answer as a whole number or improper fraction.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Answer:

8/3 cups

Step-by-step explanation:

how many cups of flour does he need for all the cookies he wants to make can be represented by the variable x:

2/3=(1/4)*x

(1/4)*x=2/3

x=(2/3)/(1/4)

x=(2/3)*(4/1)

x=8/3

Thus, Delano needs 8/3 cups of flour to bake all his cookies

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The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand
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Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c

c = 1100 + 1000 = 2100

y = - 25x + 2100

Therefore, the demand equation is

x = - 25p + 2100

25p = 2100 - x

p = (2100 - x)/25

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3 years ago
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Step-by-step explanation:

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From the set {5, 15, 20}, use substitution to determine which value of x makes the inequality true. x + 10 >25 A . 20 B. 5 C.
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Step-by-step explanation:

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