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aivan3 [116]
3 years ago
15

Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that

enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
1. Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.

2. Jada is the 36th customer.

a. Will she get a prize? If so, what prize will she get?

b. Is it possible for her to get more than one prize? How do you know? Explain your reasoning.

3. How many prizes total will Lin’s uncle give away? Explain your reasoning.
Mathematics
1 answer:
REY [17]3 years ago
6 0

Answer:

1. Yes, 1 position backwards

2. Yes, a free blueberry muffin and a free slice of carrot cake

b. Yes

3. 19 prizes

Step-by-step explanation:

The given conditions for winning a prize are as follows;

The prize that every 5th customer gets = A free bagel

The prize that every 9th customer gets = A free blueberry muffin

The prize that every 12th customer gets = A free slice of carrot cake

Therefore, the prizes will go to the 5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th positon customers

1. Diego being 23rd is right for thinking that he should get farther back in line in order to get a prize

He should get one position behind to 24th position

The reason is because prizes will be given to every 12th customer, and the 24th customer is the second 12th customer

2. Yes Jada will get a price as her position corresponds to the consecutive 9th and 12th customers position

Jada will get a free blueberry muffin and a free slice of carrot cake

b. It is possible for Jada to get more than one prize

This is so because her position coincides with the consecutive 9th and 12th customers position

3. The number prizes that Lin's uncle gives away are;

5th, 9th, 10th, 12th, 15th, 18th, 20th, 24th, 25th, 27th, 30th, 35th, 36th, 40th, 45th, 48th, and 50th = 17 prizes

including 1 extra prize each for the 36th and 45th customers which gives a total of 19 prizes.

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MISSING DETAILS

Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

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So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

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2 years ago
Is (-1, 2) a solution?
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Answer:

It can be an answer to many things.

Step-by-step explanation:

There needs to be some sort of picture or other item to explain what is going on.

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3 years ago
A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator
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Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

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\frac{37}{19}* \frac{3}{1}= 37!\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}= 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

\frac{40}{20}= \frac{40!}{20!(40-20!)}=137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

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The distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on y
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Answer:

d(1) = -3 and d(2)= -28

Step-by-step explanation:

Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point

d(x)=-4x^3+x^2

For finding out the distances for x=1 and x=2

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d(1) = -4(1^3)+1^2 = -3

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