Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of n, that is:

$A_n = n!$

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

$A_4 = 4! = 24$

More can be learned about the arrangements formula at brainly.com/question/24648661

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8 0

2 years ago

If ΔEFG ~ ΔLMN with a ratio of 3:1, which of the following is true?

Westkost [7]

Answer:

EG/LN similar FG/MN

Step-by-step explanation:

8 0

3 years ago

You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w

Trava [24]

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

6 0

3 years ago

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It’s takes Kim 8 hours to travel a distance of 360 miles at this rate how many miles does Kim travel in 12 hours

olchik [2.2K]

Answer:

540

Step-by-step explanation:

$\frac{360}{8} = \frac{x}{12} \\ \\ 45 = \frac{x}{12} \\ \\ 12(45 = \frac{x}{12} ) \\ \\ x = 540$

8 0

3 years ago