10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Answers

Answer 1

Answer:

Answer:

45 handshakes

Step-by-step explanation:

If there are n persons and each person shakes every other person hand once then the total number of handshakes are $(n(n-1))/(2)$

Now, it has been given that 10 people meet, and each person shakes every other person's hand once.

Therefore, n = 10.

Hence, from the above mentioned formula, we have

Total number of handshakes =

$(n(n-1))/(2)$

$=(10(10-1))/(2)$

$=(10*9)/(2)$

$=5*9$

$=45$

Hence, total 45 handshakes were occurred.

Answer 2

Answer: 45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)

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You have 160 boxes of cookies. In each case you can pack 8 boxes of cookies. How many cases would be filled from these boxes of cookies ?

Answers

160 boxes of cookies / 8 boxes per case = 20 cases that can be filled.

you divide 160 by 8 and you get 20. 20 cases will be filled

An item costs $20.00 and it has a sales tax rate of 4%. What is the amount of sales tax for that item?

Answers

0.8 ! hope this helps. you take 4% of 20 and that’s how you get the answer

Answer:

$0.80

Step-by-step explanation:

To find the sales tax you:

Divide 4% by 100 ( because a percentage is always out of 100) { $(4)/(100)$ = 0.04}

Multiply 0.04 by 20 ( the answer becomes $0.80)

When doing this you primarily finding 4% of $20.

HOPE THIS HELPED

Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression:5,000(1+0.0375)

Answers

Answer:

It is B. Porsha's expression should have 1 + 0.009375 in the parentheses.

Step-by-step explanation:

I got it in the test

The formula for annual compound interest is A = P (1 + r/n) ^ nt:

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

A = P (1 + r/n) ^ nt

A= 5000(1+0.0375/4)^4*6

A= 5000(1+0.0375/4)^24

A=$6255.05 (future Value)

What is the equation of the following graph in vertex form?the graph shows a positive parabola with the vertex at, (-1,0) and passes through (0,1) and (-2,1)
Answers
y = (x − 1)2
y = (x − 1)2 + 1
y = (x + 1)2 − 1
y = (x + 1)2

Answers

Vertex form uses the following formula:

$a(x-h)^2 + k$

a determines the stretch of the parabola. h and k are the x and y values of the vertex (h, k), respectively.

The vertex is at (-1, 0). There is no a value indicated for any answer. Plug these values into the equation:

$\text{h = -1, k = 0}$

$(x - (-1))^2 + 0$

$\boxed{(x+1)^2}$

The answer is (x+1)^2.

Answer:

(x+1)^2

Step-by-step explanation:

There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

Answers

Neighborhood A: 30 homes and increases by 20% per year
Neighborhood B: 45 homes and increases by 3 per year.

N.A = 30 (1.20)^t
N.B = 45 + 3(t)

t = 5

N.A = 30(1.20)^5 = 30(2.48832) = 74.65 or 75
N.B = 45 + 3(5) = 45 + 15 = 60

A number line graph is shown:-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Based on the graph, which inequality is correct for a number that is to the right of -4?
0-2 <-4
O-3>-4
0 1 <-4
-5 >-4

Answers

The inequality that best describes the included values of x is x > -4

Stating the inequality that best describes the included values of x

From the question, we have the following parameters that can be used in our computation:

The number line

On the number line, we have the following

Open circle on -4
Arrow points to the right of -4

The above means that we make use of the greater than symbol

This is because the open circle uses < or > while arrows pointing right means >

So, we have

x > -4

Hence, the inequality that best describes the included values of x is x > -4