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olganol [36]
2 years ago
13

A motorist travels 275 km in 5 hours. How far con he travel in 9 hours at the some.

Mathematics
1 answer:
inessss [21]2 years ago
3 0

Answer:

he can travel 495 km in 9 hr

distance covered in one hr = 275\5

55

distance covered in 9 hrs =495

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Ming's DVD collection includes 16 adventures movies, 7 comedies, 12 westerns, and 8 mysteries. He wants to keep 8 of the DVDs an
alina1380 [7]

43 total movies the type of movies is added in to confuse you pay no ttention just add the total. he keeps 8 of them
43 - 8 = 35

he gives them to 5 friends

35 DIVIDED by 5 = 7

each friend would get 7 each

7 0
3 years ago
What is the area,in square yards of the rectangle shown down below 12yd 15yd Answer choices are 225,54,180,27
11Alexandr11 [23.1K]

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

5 0
3 years ago
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Answer:

Step-by-step explanation:

-9x - 15y = -6

9x + 11y = 14

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y = -2

3x - 10 = 2

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x = 4

(4, -2)

8 0
3 years ago
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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
Find the length of EG:<br> G<br> C<br> E<br> B.
Lerok [7]

Answer:

16

Step-by-step explanation:

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