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Tatiana [17]
3 years ago
10

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

Mathematics
1 answer:
Ber [7]3 years ago
7 0
N-the number of people
The first person shake n-1 hands, the second n-2....the last person shake one hand

1+2+3+.....+n-1=n*(n-1)/2=66
⇒ n*(n-1)=66*2=132=12*11
⇒ n=12 people was at the party
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Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollar
uranmaximum [27]

Complete question :

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h? A. h = (h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b)÷ r b. h = h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b ÷ r c. h = h equals left-parenthesis StartFraction p Over 0.7 EndFraction right-parenthesis divided by r minus b.÷ r – b d. h = h equals StartFraction p minus b Over 0.7 EndFraction divided by r. ÷ r

Answer:

[(p/0.7) - b] / r

A. h = (h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b)÷ r b. h = h equals StartFraction p Over 0.7 EndFraction minus b divided by r.

Step-by-step explanation:

Given the equation :

p = 0.7(rh + b)

Make h the subject

Divide both sides by 0.7

p / 0.7 = 0.7(rh + b) / 0.7

p/ 0.7 = rh + b

Subtract b from both sides :

(p/0.7) - b = rh + b - b

(p/0.7) - b = rh

Divide both sides by r

[(p/0.7) - b] / r = rh/ r

[(p/0.7) - b] / r = h

7 0
3 years ago
Suppose that m∠MKN = 55°. What is m∠MCN?<br> !please no absurd answers!
Elena L [17]

Answer:

angle M and N are right angles

we can draw a line joining M and N  

so we’d have a triangle MNC AND KMN

both MNC AND KMN BECOME ISOSCELES TRIANGLES

so since we have 55 degrees for angle MKN. We have to find the other 2

180-55=125

now divide by 2 to get 62.5 for each of the remaining sides of triangle KMN

now to find the sides of triangle MNC

90-62.5= 27.5

27.5*2= 55

180-55=125=angle C

(sorry, it’s complex)

6 0
3 years ago
Read 2 more answers
A home improvement store advertises 60 square feet of flooring for 253 plus an additional 80 installation fee. What is the cost
xz_007 [3.2K]

Answer:

Step-by-step explanation:

Your answer

5.55 per square foot

Mark it as Brainlist. Follow me for more answer.

3 0
3 years ago
Use the formula S equals 2 left-parenthesis l w right-parenthesis plus 2 left-parenthesis l h right-parenthesis plus 2 left-pare
frosja888 [35]

Answer: 52 square cm

Step-by-step explanation:

The given surface area formula of a rectangular prism,

S = 2 wl + 2 lh + 2 hw

Where  is the length, w is the width and h is the height of the prism,

Here, length, l = 2 cm,

Width, w = 3 cm

And, Height, h = 4 cm

Thus,The required surface area of the prism,

S = 2 × 3 × 2 + 2 × 2 × 4 + 2 × 4 × 3

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6 0
3 years ago
How do you write 53% as a fraction in lowest terms
Vaselesa [24]
Well you would take 53% then put it over 100 so you should get 53/100
8 0
3 years ago
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