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3 years ago

In how many ways can people be lined up to get on a bus if a particular person always boards the bus first or last?

1 answer:

6 0

Incomplete question. I Assumed the number of people is 6. In other words, In how many ways can 6 people be lined up to get on a bus if a particular person always boards the bus first or last?

Answer:

6

Step-by-step explanation:

Note, this question involves the use of the permutation formula; which helps determine the arrangement or rearrangement of a set of objects in an ordered way. Since we are told a particular person (ie 1 person) from among the group always boards first or last, it forms our r.

P(n,r)= $\frac{n!}{(n-r)!}$ where n = number of people; r = the difference taken at a time.

P(n,r) = $\frac{6!}{(6-1)!}$ = $\frac{720}{120} = 6$

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Find the value of the variable x (2x+12) and 8x-18

maxonik [38]

Answer: Below

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

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1 year ago

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Simplify 15(5b+3) Please help me I don't understand at all

melamori03 [73]

$15(5b+3) \\ \\ 15 \times 5b + 15 \times 3 \ / \ distribute \\ \\ 75b + 15 \times 3 \ / \ simplify \\ \\ 75b + 45 \ / \ simplify \\ \\$

The final result is: 75b + 45.

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2 years ago

The sum of three consecutive even numbers is 114. what is the smallest of the three numbers?

saul85 [17]

Answer:

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

$(2n)+(2n+2)+(2n+4)=114$

Solve for n. Combine like terms on the left:

$6n+6=114$

Subtract 6 from both sides:

$6n=108$

Finally, divide both sides by 6. Therefore, the value of n is:

$n=108/6=18$

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

4 0

3 years ago

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Can anyone help with this?!?!

Gnom [1K]

Since y=5 is an asymptote, it means that y will approach 5 but never be 5. So you use (. Then, you see the function increasing from the asymptote so it would be (5, infinity) Choice C

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2 years ago

the population of masterton was 23 000 in 2012. Assume that Masterton population increases at a rate of 2% per year. Write an eq

Oksanka [162]

So, let's first focus on the first year:

the population then would be: 23000* (100+2)%

100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.

So it will be 23000*1.02

After two years it will be 23000*1.02*1.02, and so on

so after x years it will be:

y=23000* $1.02^{z}$

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3 years ago