MATHEMATICS HIGH SCHOOL

There are 3 people at a party. If each person must shake hands with every other person at the party exactly once, how many handshakes will there be?

Answers

Answer 1
Answer:

Answer:

The total number of handshakes that would happen between the three people are:

                                    3

Step-by-step explanation:

There are three people at a party.

Let they be denoted by A,B and C.

Now, the total number of handshakes that would occur will be denoted by:

      AB, AC and BC

where AB denotes that A and B shake hands.

AC denote that A and C shake hands.

and BC denote that B and C shake hands.

Hence, total number of handshakes are:

                           3

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Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = StartFraction negative 7 Over 2 EndFraction. The graph intersects the y-axis at y = 49.

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Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The
bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can
only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y = 40
100x + 2y = 3
x + y = 40
100x + 40y > 100
3x + 2y = 40
3x + 2y > 100
x + y = 40

Answers

Answer:

2x + 3y > 100

x + y = 40

Step-by-step explanation:

This is the answer because it shows the price of each and the combined products equaling more than 100 dollars, and the bottom one shows that the combined total of jewelry can not exceed 40 pieces.

Final answer:

The inequalities that represent Kate's situation are 2x + 3y > 100 and x + y ≤ 40.

Explanation:

In this situation, we can use the inequalities 2x + 3y > 100 and x + y ≤ 40 to represent Kate's goal of making at least $100 and making up to 40 pieces of jewelry. The inequality 2x + 3y > 100 ensures that the total cost of the bracelets and earrings is greater than $100, and the inequality x + y ≤ 40 guarantees that the total number of jewelry pieces is not more than 40.

Learn more about Inequalities in a Situation

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What is the average of the following numbers: 3.2, 47/12,10/3?

Answers

Around 3.48 1/3 using the adding all the numbers and dividing by how many numbers there were
well,3.2=32/10
adding up all the fractions, we get
627/60
to find the average, we have to divide the fraction by 3, (as there are 3 fractions)
the answer is
3.484 approx

Can someone please help me able this: log4x^5=20

Answers

log_4x^5=20\n\nlog_4x^5=log_44^(20)\iff x^5=4^(20)\n\nx^5=4^(4\cdot5)\n\nx^5=(4^4)^5\iff x=4^4\Rightarrow x=256\n\n\nD:x\in\mathbb{R^+}

Find the probability that a number selected at random from the numbers 1 to 25 is not a primenumber when each of the given numbers is equally likely to be selected.

#no irrelevant answer
​

Answers

Given:

  • A number is selected at random from the numbers 1 to 25.
  • Each of the given numbers is equally likely to be selected.

To Find:

  • Probability that the number is not a prime number.

Solution:

Required Sample space of the following event ( Non- prime numbers between 1 to 25 )

\dashrightarrow 1, 4, 6, 8,9 10,12, 14, 15, 16,18, 20, 21, 22, 24, 25

Number of Favourable Outcomes = 16

Total number of outcomes = 25

Now as we know

Probability of an event =

\star\;\boxed{\sf{\pink{( Favourable\; number\;of\; outcomes)/(Total\; number\;of\; outcomes)}}}

Probability = 16/25

Hence, probability that the number is not a prime number is 16/25.

Answer:

Favourable outcomes = {1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25}

Number of favourable outcomes=16

Number of total possible outcomes=25

p(not a prime) = (number of favourable outcomes) / number of total possible outcomes

=16/25

How to solve linear equations by substitution?

5x+2y=9
x+y=-3

Answers

5x+2y=9 x+y=3

change x+y=3 into x=3-y

plug that equation into 5x+2y=9 where x is.

5(3-y)+2y=9

then distribute.

15-5y+2y=9

15-7y=9

minus 15.

-7y=-6

divide both sides by -7.

y is equal to -6/7.

then go back to the first equation and plug in for y.

and then you will get x.

then you will have (y,x)
\begin{cases} 5x+2y=9 \n x+y=-3\end{cases} \n \n\begin{cases} 5x+2*(-3-x)=9 \n y=-3 -x\end{cases} \n \n\begin{cases} 5x-6-2x =9 \n y=-3 -x\end{cases}\n \n\begin{cases} 3x =9+6 \n y=-3 -x\end{cases}

\begin{cases} 3x =15 \ \ /:3 \n y=-3 -x\end{cases} \n \n\begin{cases} x =5 \n y=-3 -5\end{cases} \n \n\begin{cases} x =5 \n y=-8\end{cases}

19 of the 23 participants in a triathlon are men and the rest are women. What is the ratio of the number of women participating to the total number of participants?

Answers

Answer:

3:23

Step-by-step explanation:

If 19 of the 23 participants in a triathlon are men then that means there are 4 participants that are women

so the ration would be 4 women for the 23 participants

Final Answer:

The ratio of the number of women participating to the total number of participants in the triathlon is 4:23.

Explanation:

In a triathlon, there are 23 participants in total, with 19 of them being men. To find the ratio of women to the total number of participants, we first need to determine the number of women participating.

To do this, subtract the number of men (19) from the total number of participants (23):

23 (total participants) - 19 (men) = 4 women

Now that we know there are 4 women participating, we can calculate the ratio:

Number of women : Total number of participants

4 : 23

So, the ratio of the number of women participating to the total number of participants is 4:23.

Learn more about Ratio

brainly.com/question/32531170

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