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tino4ka555 [31]

1 year ago

12

Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats ce

real, there are 4 grams of fiber in one cup. Let x represent the number of cups of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week. Which inequality represents the situation if the cereal Will ate this week contained at least 30 grams of fiber? a)5x + 4y ≥ 30 b)4x + 5y ≥ 30 c)4x + 5y ≤ 30

2 answers:

Katen [24]1 year ago

7 0

Let x <u>represent</u> the <u>number of cups</u> of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week.

1. If in Superfiber cereal, there are 5 grams of fiber in one cup, then in x cups there are $5\cdot x=5x$ grams of fiber.

2. If in Fiber Oats cereal, there are 4 grams of fiber in one cup, then in y cups there are $4\cdot y=4y$ grams of fiber.

3. The total amount of fiber Will ate is $5x+4y$ grams.

4. This week Will ate at least 30 grams of fiber. Then

$5x+4y\ge 30.$

Answer: correct choice is A.

nekit [7.7K]1 year ago

5 0

Answer: the inequality is: a)5x + 4y ≥ 30

Step-by-step explanation:

Hi, to solve this problem we have to analyze the information given:

x : number of cups of Superfiber

1 Superfiber cup has 5 grams of fiber ≤ 30

y: number cups of Fiber Oats

1 Fiber Oats cup has 4 grams of fiber

So, the cereal Will ate this week contained at least 30 grams of fiber. At least means more or equal ( ≤ 30 ).

If each cup of Superfiber cup has 5 grams of fiber ⇒ 5x

If each cup of Fiber Oats cup has 4 grams of fiber ⇒ 5y

Finally, the inequality is:

a)5x + 4y ≥ 30

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Step-by-step explanation:

Part 1

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$L \propto T^2$

Using the condition given:

$2.205 m = K (3)^2$

$K = 0.245 \approx \frac{g}{4\pi^2}$

So then if we want to create an equation we need to do this:

$L = K T^2$

With K a constant. For this case the period of a pendulumn is given by this general expression:

$T = 2\pi \sqrt{\frac{L}{g}}$

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$T^2 = 4 \pi^2 \frac{L}{g}$

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Part 3

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