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vazorg [7]
3 years ago
6

Tom ate 1/6 in the morning and 3/6 in the afternoon. How much of the bread did he eat?

Mathematics
1 answer:
frozen [14]3 years ago
5 0

Answer:

4/6 or 2/3

Step-by-step explanation:

Amount of bread Tom ate= Tom ate in morning + Tom ate in evening

                                          = 1/6 + 3/6

                                          = 3+1/6

                                          = 4/6

                                          = 2/3

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Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
The opposite of -10 is<br><br> 1.-(-(-10))<br> 2.-10<br> 3.10<br> 4.-|10|
IRISSAK [1]
3. 10 because the opposite of a negative is a positive number
5 0
3 years ago
Read 2 more answers
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finishe
emmasim [6.3K]

Answer:

D. 3 Points

Step-by-step explanation:

Given

Members = 3

Point = 9 - n

1 \leq\ n \leq 8

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

Point = 9 - n

Point = 9- 8

Point = 1

To get the least score, each of the 3 members must have 1 point each.

So:

Total = 3 * 1

Total = 3

5 0
3 years ago
In APRT, PS = 12 cm, UV = 2 cm, and ST = 7 cm. What is the measure of RV?​
Bezzdna [24]

Answer:

Which real-world situation involves division with a negative number?

splitting a $22.5 million company debt evenly among 2.4 million shareholders

converting 29.21 centimeters to inches by dividing by 2.54

calculating how much a 6.3 inch plant grew each day, on average

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Step-by-step explanation:

5 0
2 years ago
25x + 4x = x + 3x +7
Musya8 [376]

For this equation its the same as simplifying any other equation -Simplify both sides of the equation then isolate the variable- Easy then once you've do so the answer should be

<u>x = \frac{7}{26\\}</u>

7 0
3 years ago
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