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wel
3 years ago
10

The sum of 324 and 135 is 503. Which number base was used for this calculation.

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer:

Base 6 was used

Step-by-step explanation:

Here, we want to find which number base was used for the addition calculation

We start by adding the two end numbers

4 + 5 = 9

But 3 was recorded;

That means we can have 6 as the number base( 9/6 = 1 r 3)

We still continue to verify this;

The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded

6/6 is (1 r 0)

This still further corroborated the earlier assertion;

then lastly 3 + 1 + 1 (1 brought forward); 5

This was recorded directly to show that the base in question is not less than 5

Hence our base of addition is base 6

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Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = \frac{8.5}{100}\times45000=3825

Hence, value becomes = 45000-3825=41175

Value decreased after 2nd year =

\frac{8.5}{100}\times41175=3499.875

Hence, value becomes = 41175-3499.875=37675.125

Value decreased after 3 year =

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Hence, value becomes = 37675.125-3202.385=34472.74

So, value of the boat after 3 years becomes $34472.74

3 0
3 years ago
Why is 3/12 a rational number
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3 years ago
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Find the 50th term of the following arithmetic sequence.<br> 13, 22, 31, 40,<br> ---
tankabanditka [31]

Answer:

454

Step-by-step explanation:

The formula for this arithmetic sequence is: 9n+4

1st term: 9(1)+4 = 13

2nd term: 9(2)+4 = 22

3rd term: 9(3)+4 = 31

4th term: 9(4)+4 = 40

.

.

.

50th term: 9(50)+4 = 450+4

                                = 454

6 0
2 years ago
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NeTakaya
There are 20 people in the class room.

One way I set this word problem up is by using the equation 88-4x=8. X would stand for the amount of classmates in the class, 88 would stand for your total pieces of gum and 8 would stand for the remaining pieces left.

With the equation 88-4x=8 you want to subtract 88 from both sides to get the equation -4x=-80. Last you want to isolate x by dividing -4 on both sides to finally get x=20. 20 people in the class room.
3 0
3 years ago
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WINSTONCH [101]

Answer:

7. 8200 miles

8. $350

Step-by-step explanation:

7. The first trip nets 3400 miles; the next four trips (for a total of five) net 1200 miles each, so the total for 5 round trips is ...

... 3400 + 4×1200 = 8200 . . .  miles

8. The first month costs $100; the next 5 months (for a total of 6) cost $50 each, so the total for 6 months is ...

... $100 + 5×$50 = $350

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