1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artyom0805 [142]
2 years ago
10

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?

Mathematics
2 answers:
Gnoma [55]2 years ago
3 0

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

Hope this helps!

nataly862011 [7]2 years ago
3 0

Answer:

Uhm. You didnt get this from me, But If there was 66 handshakes, and each person shakes another persons hand, all you gotta do is divide it by 2 and you get 66.

Step-by-step explanation:

Im right ik ty ;)

You might be interested in
How can you write -1/4x-9 on a graph​
Dmitrij [34]

Answer:

Slope : -1/4

y-intercept : -9

x... 0 , 1

y... -9 , -37/4

Step-by-step explanation: Graph the line using the slope and y-intercept, or two points. GRAPH IS DOWN BELOW!

Hope this helps you out.

4 0
3 years ago
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the proba
Scilla [17]

Answer:

2.28%

Step-by-step explanation:

Given that:

µ = 40 minutes ; σ = 3.5.

x = > 47 minutes

Obtain the standardized score, Z

Zscore = (x - μ) / σ

P(x > 47) = (47 - 40) / 3.5

P(x > 47) = 7 / 3.5

P(x > 47) = 2

P(z > 2) = 0.02275

Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%

7 0
2 years ago
A trucker had a load of grain containing 2 tons. She unloaded 1 ton 1,200 pounds at the warehouse. How much grain does she still
NikAS [45]
1,200 pounds or 1 ton of grain

7 0
3 years ago
Find the value of P such that 2 ^p sqrt 4 x 1/4
Sav [38]

Answer: p=-1

Step-by-step explanation:

To find the value of p, we can manipulate the right side so that it looks like the left.

We know that \sqrt{4}=2. Therefore, it can be written as 2¹.

\frac{1}{4} is the same as \frac{1}{2^2 } because 2²=4. To make it not a fraction, we can flip it and change the exponent. \frac{1}{4}=2^-^2

Now, we can put them together.

2^p=2^1*2^-^2         [multiply]

2^p=2^-^1

Now, we know that p=-1.

5 0
2 years ago
Jake goes to School every 4 days and private School every 6 days. If he goes to both on October 3rd, on what date will he go to
Paladinen [302]

Answer:

The 15th of October

Step-by-step explanation:

Its the 15 of october because is you add 4 three times it adds up to wen 6 is added twice

7 0
3 years ago
Other questions:
  • How to find equations to be linear or non-linear, such as y=3x^2-2x+5
    12·1 answer
  • The figures shows two parallel lines AB and DE cut by the transversals AE and BD::
    7·2 answers
  • the sale price of an item is $180 after a 25% discount is applied. What is the original price of an item ?...
    5·1 answer
  • Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his
    14·1 answer
  • 3x + 9y = -42 -3x + 2y = -2 The solution to the system is
    10·1 answer
  • Correct Answer Will get Brainliest
    12·2 answers
  • Which graph best represents f(x)=6(3)x. PLEASE
    15·1 answer
  • (3x-2y) (4x+3y) (8x-5y)​
    10·1 answer
  • Amir solved the following equation. describe the first mistake he made.
    7·1 answer
  • What is the area of the rectangle?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!