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
erastovalidia [21]
3 years ago
6

At a family reunion, Lauren met up with 2 of her cousins; Kali and Allison. She realized that there were 3 generations of cousin

s represented with their ages totaling 80 years. If Allison is 1/3 of Lauren's age and Kali is twice as old as Lauren, what are the girl's ages?
Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

The age of three girls as

The age of Allison's is 8 years

The age of Kali is 48 years

The age of Lauren's is 24 years  

Step-by-step explanation:

Let The age of Allison's = A  years

The age of Lauren's = L  years

The age of Kali's = K years

Now, According to question

The sum of total ages of the three girl's = 80 years

I.e A + L + K = 80 years

And  ,

The age of Allison's = \frac{1}{3} of  The age of Lauren's

I.e A = \frac{1}{3} × L

And ,

The age of Kali's = 2 times The age of Lauren's

I.e K = 2 × L

∴ \frac{1}{3} × L + L + 2 × L = 80

Or,  \frac{1}{3}  L + 3 L = 80

Or, \frac{10}{3}  L = 80

So, 10 L = 3 × 80

∴   L = \frac{240}{10}

I.e L = 24  

The age of Lauren's = 24 years

Again ,

K = 2 × L

Or, k = 2 × 24

∴   k = 48

The age of Kali = 48 years

Similarly

A = \frac{1}{3} × L

Or, A =  \frac{1}{3} × 24

∴   A = 8 years

The age of Allison's = 8 years

Hence The age of three girls as

The age of Allison's is 8 years

The age of Kali is 48 years

The age of Lauren's is 24 years     Answer

You might be interested in
What are the fourth roots of 6+6√(3i) ?
Helen [10]

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

8 0
3 years ago
PLEASE HELP! GEOMETRY.
vitfil [10]
I hope this helps you

3 0
3 years ago
HURRY.. I NEED TO HAND IT IN NOW ​
Anon25 [30]

Answer:

i) 20m/s

ii) 4s

iii) 144m

iv) 2 m/s

Step-by-step explanation:

Please see attached picture for full solution.

5 0
3 years ago
Ted likes to run long distances. He can run 20 km in 95 minutes.He wants to know how many kilometers he will go if he runs the s
gladu [14]
You just have to cross multiply. 20 x 285 = 5700. 5700 / 95 = 60.

He will run 60km
5 0
3 years ago
Read 2 more answers
Ginny buys 7 magazines for 2.80 how much does 1 cost?<br> How much does do 5 magazine cost?
saw5 [17]

Answer:

one costs 0.40 and 5 cost 2.00

Step-by-step explanation:

bc 2.80/7 = 0.40

0.40 times 5 = 2.00

3 0
2 years ago
Other questions:
  • To eliminate the x-terms and solve for y in the fewest steps, by which constants should the equations be multiplied
    5·1 answer
  • Plz hurry will mark brainliest
    12·1 answer
  • To determine her power usage​, Keri divides up her day into three​ parts: morning,​ afternoon, and evening. She then measures he
    12·1 answer
  • Mr smith buys pencils at $250 per hundred and sells each at $1.75 find his loss or profit​
    13·2 answers
  • Show how to use known facts to find 6 x 9. Explain how you chose the facts you did
    12·2 answers
  • In Jan's library, she has 24 informational books. If 15% of the books are informational text, how many total books are in her li
    10·1 answer
  • What a good men what a ever good men
    9·1 answer
  • Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​
    8·1 answer
  • Find the value of x when 6-4x =7x-9x-6
    11·1 answer
  • How do I solve 5x - 4x^2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!