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nirvana33 [79]
3 years ago
11

Show that any number of the form ABCABC (e.g. 356356) is divisible by 13.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0

We could write such a number as

10^5a+10^4b+10^3c+10^2a+10b+c

=10^2(10^3+1)a+10(10^3+1)b+(10^3+1)c

=(10^3+1)(100a+10b+c)

10^3+1=1001=13\cdot77 so we're done.

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There are four classes of third graders at Woodbury Elementary School. One class has 24 students, one has 26 students, another h
Margarita [4]
<span>The answer to this problem is B. 24 + 26 + 31 + 22. </span>
6 0
3 years ago
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In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black
uysha [10]

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

P(w=12) = p(w)^{12}

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

P(w=12) = 0.90^{12}\\P(w=12) =0.2824

The probability is 0.2824.

(b) for p = 0.50

P(w=12) = 0.50^{12}\\P(w=12) =0.0002441

The probability is 0.0002441.

5 0
3 years ago
Help Resc
beks73 [17]

Answer:

√109

Step-by-step explanation:

3^2 + 10^2 = c^2

9 + 100 = 109^2

8 0
3 years ago
Find angle picture below!
Ghella [55]

Answer:

Angle T = 62°; Angle U = 43°; Angle V = 75°

Step-by-step explanation:

First, find x. We know that the interior angles of a triangle will always add up to 180°.

180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms

180° = 13x + 24 –––Subtract 24 from both sides

156° = 13x ––– Divide both sides by 13 to get x alone

12° = x

Now that we know what x is, we can substitute it in the expressions for the angles.

Angle T:

5x +2

5(12) + 2

60 +2

62°

Angle U:

2x + 19

2(12) + 19

24 + 19

43°

Angle V:

6x + 3

6(12) + 3

72 + 3

75°

Check:

They must equal 180° when added together:

75° + 62° + 43° = 180°

75° + 105° = 180°

180° = 180°

5 0
2 years ago
PLEASE HELP FAST I WILL GIVE YOU BRAINLIEST
kvv77 [185]

Answer:

5

Step-by-step explanation:

yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5

4 0
3 years ago
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