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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

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Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

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y=(0)^2 + 3(0) +5

y=0+0+5

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Since there is no x coordinate for a y-intercept, the answer is (0,5)

7 0
3 years ago
How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug
timurjin [86]

11 bottles are needed to fill a 16 liter jug

<em><u>Solution:</u></em>

Given that, there is a 16 liter jug

There are 1\frac{1}{2} liters of bottle

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

\rightarrow 1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2} = 1.5

Thus the bottle is of 1.5 liter

We have to find the number of 1.5 liter bottles needed to fill 16 liter jug

Divide 16 by 1.5 to get result

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7 0
3 years ago
Help me on this question
NeX [460]

Answer:

x = 18

Step-by-step explanation:

Vertically Opposite Angles are equal..

so,

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4 0
2 years ago
Read 2 more answers
5x + y = 6 5x + 3y = -4 The y-coordinate of the solution to the system shown is ___.
8_murik_8 [283]
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6 0
3 years ago
The set of the consecutive odd numbers 1, 3, 5, 7, ... , N has a sum of 400. How many numbers are in the set?
Amanda [17]

Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.

First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.

Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:

         1, 3, 5, 7, 9, 11, 13, 15 .

Number of items in the set . . . 8
Sum of all the items in the set . . . 64

Hmmm.  That's interesting.  64 happens to be the square of 8 . 
Do you think that might be all there is to it ?

Let's check it out:

Even-numbered lists of odd numbers:

1, 3                                   Items = 2, Sum = 4
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1, 3, 5, 7, 9, 11                 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .

Amazing !  The sum is always the square of the number of items in the set !

For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.

I slogged through it on my calculator, and it's true.

I never knew this before.  It seems to be something valuable
to keep in my tool-box (and cherish always).


3 0
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