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Elena L [17]
3 years ago
10

3. Mrs. Brown has 9 cups of flour. Each

Mathematics
2 answers:
hodyreva [135]3 years ago
6 0

Answer:

3/4 of a batch

Step-by-step explanation:

9 out of the total 12 cups is what she has. So this converts into the fraction of 3/4 when simplified so she can make 3/4 of a batch.

nata0808 [166]3 years ago
3 0
3/4 batches of cookies.
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Answer:

check for me beacause 90+10 equals -100% thanmyou.

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3 0
3 years ago
You have two parents, four grandparents, eight greatgrandparents, and so forth.
Leviafan [203]
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or 2^{2} ancestors.
In the third generation we have 8 ancestors ot 2^{3} ancestors.

We can see that each succesive generation has two times more members. The sum is:
2+4+8+16+...+ 2^{40}

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>S= a_{1} * \frac{1- r^{n} }{1-r}
<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
</span>S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550
<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = </span>10^{10}
Number of ancestors in 40 generations = 2.2*10^{12}

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
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