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beks73 [17]
2 years ago
12

Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two dozen cookies. If she ne

eds to make thirteen dozen cookies to give one cookie to each of her students, how much cinnamon will she need? There are three teaspoons in one tablespoon. How many tablespoons and teaspoons will Ms. B need?
Mathematics
1 answer:
Korvikt [17]2 years ago
7 0

Answer:

First we must learn to dissect a question.

<h3>Explanation:</h3>

Part 1

We can list our facts first:

  • Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
  • She needs 13 dozen cookies

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

6.5 \times 1.5 = 9.75 \: teaspoons

<h3>Part 2</h3>

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp

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Answer: a_1=50,d=25 and $475 deposited into the account on her birthdays by her 18th birthday.

Step-by-step explanation:

It is given that, on Gabriela’s first birthday, her parents gave her a $50 savings account.

Initial term : a_1=50

On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year.

Common difference : d=25

It forms an AP: 50,75,100,...

nth term of an AP is

a_n=a_1+(n-1)d

Substitute a_1=50 and d=25 in the above formula.

a_n=50+(n-1)25

It represents the amount deposited into the account after n birthdays.

We need to find the amount by her 18th birthday.

Put n=18 in the above equation.

a_{18}=50+(18-1)25

a_{18}=50+(17)25

a_{18}=50+425

a_{18}=475

Therefore, $475 deposited into the account on her birthdays by her 18th birthday.

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