Answer:
The amount of money shared is 360
Step-by-step explanation:
We are given that A certain amount of money is shared in a ratio 2:3:9.
Let x be the ratio
So, Shares of amount = 2x,3x and 9x
We are given that the difference between the first and second shares is $40
So, Shares are :
2x=2(40)=80
3x=3(40)=120
4x=4(40)=160
So,Total amount = 80+120+160=360
Hence the amount of money shared is 360
If you were baking and you had to divide a 1/2 tablespoon in half you would need to know how to multiply fractions.Dividing is the opposite of multiplying so multiplying fractions is just the opposite of dividing fractions.
Try this solution (note, the length of midsegment is (KG+FL)/2), all the details are in the attachment.
Answer is marked with green colour.
You haven't provided the series, therefore, I can only help with the concept.
<u><em>For an infinite geometric series, we have two possibilities for the common ratio (r):</em></u>for r > 1, the terms in the series will keep increasing infinitely and the only possible logic summation of the series would be infinity
for r < 1, the terms will decrease, therefore, we can formulate a rule to get the sum of the infinite series
<u><em>In an infinite series with r < 1, the summation can be found using the following rule:</em></u>sum =
where:
a₁ is the first term in the series
r is the common ratio
<u>Example:</u>
For the series:
2 , 1, 0.5 , 0.25 , ....
we have:
a₁ = 2
r = 0.5
Therefre:
sum =
Hope this helps :)
<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17
To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.
Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)
Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17
Again, the dimensions should be a square. 17 X 17.</span>
