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Varvara68 [4.7K]
2 years ago
6

At laurita,s bakery 3/5 of the bakwd

Mathematics
1 answer:
svet-max [94.6K]2 years ago
8 0

Answer: Part a) The fraction of all of the baked goods at Laurita’s Bakery that are coconut pies is 1/5

Part b) The fraction of all of the baked goods at Laurita’s Bakery that are angel food cakes is 1/15

Step-by-step explanation:

Let

x -----> the total number of baked goods

we know that

1) 3/5 of the baked goods are pies and the rest are cakes

To obtain the number of pies multiply the total number of baked goods by 3/5

The number of pies is ----> (3/5)x

To obtain the number of cakes subtract the number of pies from the total number of baked goods

The number of cakes is -----> x-(3/5)x=(2/5)x

2) 1/3 of the pies are coconut

To obtain the number of coconut pies multiply the number of pies by 1/3

The number of coconut pies is -----> (3/5)x(1/3)=(3/15)x=(1/5)x

3) 1/6 of the cakes are angel food

To obtain the number of angel food cakes multiply the number of cakes by 1/6

The number of angel food cakes is -----> (2/5)x(1/6)=(2/30)x=(1/15)x

Part a) What fraction of all of the baked goods at Laurita’s Bakery are coconut pies?

we know that

The number of coconut pies is (1/5)x (see Part 2)

Divide the number of coconut pies by  the total number of baked goods

therefore

The fraction of all of the baked goods at Laurita’s Bakery that are coconut pies is 1/5

Part b) What fraction of all of the baked goods at Laurita’s Bakery are angel food cakes?

we know that

The number of angel food cakes is (1/15)x (see Part 3)

Divide the number of angel food cakes by  the total number of baked goods

therefore

The fraction of all of the baked goods at Laurita’s Bakery that are angel food cakes is 1/15

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The discriminant of a quadratic is b^2-4ac, where the quadratic is in the form ax^2+bx+c. The discriminant of this one is therefore:

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The measure of<br> an exterior angle<br> of a regular<br> octagon is x + 10.<br> Find x.
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Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
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Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

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