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Molodets [167]
1 year ago
8

a pound of coffee beans yields 50 cups of coffee. How many millimeters of coffee can be obtained from 1.0 g of coffee beans?

Mathematics
1 answer:
shtirl [24]1 year ago
6 0

It is found that 260.55682 millimeters of coffee can be obtained from 1.0 g of coffee beans.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given :

(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

One pounds of coffee beans = 50 cups of coffee

The Number of mL of coffee that can be obtained from 10 g of coffee beans.

1 pound = 454g

10 * 50 cups = 500 cups / 454 = 1.1013215 cups

1.1013215 / 4 = 0.2753303 qt

0.2753303 qt / 1.0567 qt = 0.2605568 L

0.2605568 L * 1000 = 260.55682 mL

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ1

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A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture
Arte-miy333 [17]

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

P(6)=\dfrac{1}{6}

The probability of getting a 5 is:

P(5)=\dfrac{1}{6}

The probability of getting a 4 is:

P(4)=\dfrac{1}{6}

The probability of getting other numbers (1,2,3) is:

P(\text{Otherwise})=\dfrac{3}{6}

P(\text{Otherwise})=\dfrac{1}{2}

We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})

E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}

E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0

E(x)=\dfrac{10+7+4}{6}

E(x)=\dfrac{21}{6}

E(x)=3.5

Therefore, the expected winnings for this game are $3.50.

7 0
3 years ago
Which of the following functions best describes this graph?
sweet-ann [11.9K]

Answer: A. y=x²-9x+20

Step-by-step explanation:

As we can see from the graph there are two x-intercepts: (4,0) (5,0)

The easiest way we can do, is we plug these two values into each of the choices.

A. y=x²-9x+20

(4, 0) YES

(5,0) YES

B. y=x²-8x+18

(4, 0) NO

(5, 0) NO

C. y=x²+9x+20

(4, 0) NO

(5, 0) NO

D. y=x²+x-12

(4, 0) NO

(5, 0) NO

Therefore, the answer should be y=x²-9x+20

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
Find the distance travelled by Rama if she takes two rounds of a rectangular park whose length is 8 km and breadth is 12 km.​
harkovskaia [24]

Answer:

80 km

Step-by-step explanation:

First, find the perimeter of the park.

2(12 + 8) = 2(20) = 40 km

Since Rama travels around the park twice, multiply the perimeter by 2.

40(2) = 80 km

8 0
3 years ago
Read 2 more answers
In a bag of apples, the ratio of red apples to green apples is 3:4. If the bag contains 60 red apples, how many green apples are
alekssr [168]
Hi there! The answer is 80 green apples.

In a bag of apples, the ratio of red apples to green apples is 3:4, so we must first realise that there is a total of 7 parts.

3 of these parts constist if red apples. In other terms 3 / 7 equals 60. Now divide by 3 to find 1 / 7. Hence, 1 / 7 equals 60 / 3 = 20 apples.

4 of the total 7 parts consist of green apples, so we must multiply the preceding outcome by 4 to find our answer. 4 / 7 equals 20 × 4 = 80 apples.

Therefore, there are 80 green apples in the bag.
~ Hope this helps you!
6 0
3 years ago
It is used to represent the product
arlik [135]
What’s your question?
5 0
3 years ago
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