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Mashutka [201]
2 years ago
11

there are 50 peoples at a meeting. They each shake hands with everyone else. How many handshakes were there?​

Mathematics
2 answers:
Musya8 [376]2 years ago
6 0
<h2>2450</h2><h3>Exclude yourself as a group member then multiply the rest of the group by the whole group.</h3>

ArbitrLikvidat [17]2 years ago
3 0

Step-by-step explanation:

Total no. of people = 50

Total no. of handshake each person will make = 49 ( not counting himself/herself)

therefore , total number of handshake made by 50 people = 50 × 49

⇝ 2450 handshakes

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Rita paid $82 for 5 trees and 1 shrub. Lilly bought 2 trees and 1 shrub for $37. Find the cost per tree and the cost per shrub.
N76 [4]

Answer:

trees cost $15

Shrub cost $7

Step-by-step explanation:

Given data

Rita paid $82 for 5 trees and 1 shrub

5x+y= 82---------1

Lilly bought 2 trees and 1 shrub for $37

2x+y= 37----------2

from 1

y= 82-5x

put the value of y in 2

2x+82-5x= 37

2x-5x= 37-82

-3x=-45

x= 45/3

x=$15

put the value of x in 1

5(x)+y= 82

5*15+y=82

75+y=82

y=82-75

y=$7

Hence, trees cost $15

Shrub cost $7

4 0
3 years ago
What number is 37 1/2% of 32?
Serggg [28]
37.5% of 32 is 12

if you move the decimal point in the percentage 2 places to the left you will get a number you can multiply with 

so 0.375 x 32 = 12


6 0
3 years ago
Simplify these expressions<br> a) 5 x x<br> b) 6 xxxy<br> c) 2 xxx 3xy
Gennadij [26K]
5x^2
6x^3y
2x^3 3xy
^ means the little number above x eg x^3
4 0
3 years ago
Which geometric series converges ???
ki77a [65]

Answer:

C

Step-by-step explanation:

A geometric series will only converge if - 1 < r < 1

sum to infinity = \frac{a}{1-r}

The nth term formula for a geometric series is

a_{n} = ar^{n-1}

where a is the first term and r the common ratio

The only summation with - 1 < r < 1 is C where r = - 0.2

7 0
3 years ago
Read 2 more answers
Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)
lozanna [386]
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance = \sqrt{(-3-3)^2+(5-2)^2}

Distance = \sqrt{(-6)^2+3^2}

Distance = \sqrt{36+9}

Distance = \sqrt{45}\approx6.7082

6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}
8 0
3 years ago
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