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arsen [322]
3 years ago
10

Sequence pattern for 2,1,3,7,13,21

Mathematics
1 answer:
Alina [70]3 years ago
6 0
-1,+2,+4,+6,+8


please mark brainliest

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A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons
hammer [34]

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

(a) Time to fill tank = 6000 / 200 = 30 minutes.

(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

Volume delivered by small pipe = y gallons, and by large pipe =  6000-y gallons.

Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x =  7200  - 120x

40x = 1200

x = 30

So time for small pipe = 30 and time for large on = 30 minutes also.

C. In a similar way to part B:

y/x = 120  

(6000-y) / 34 - x = 200

(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

80x = 800  so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.

3 0
3 years ago
Quentin has 18 unit cubes. how many different rectangular prims can he build if he uses all of the cubes ?
frez [133]
A rectangular prism is defined by three lengths.

We can find out how many unit cubes would be in a prism by multiplying these three lengths together--that's how we find our <em>volume</em>.

Similarly, we can come up with different ways to multiply together three different numbers and make 18.
Each combination would be a new rectangular prism, with one catch:
Order doesn't matter. A prism with lengths 2, 2, and 3 is the same as one with lengths 2, 3, and 2, so don't make that mistake.

To find each combination, keep splitting 18 in different ways.
If one of the ways we split it can also be split, we need to write out that, too.
Here are the possible combinations:
18 × 1 × 1, obviously
9 × 2 × 1. splitting off 2
6 × 3 × 1. splitting off 3
4 × 6 × 1. our next biggest we can take out is 6, which can also be split...
4 × 3 × 2. there's the split of 6 into 2 and 3
<em>(3 × 6 × 1 is a repeat.)</em>
3 × 3 × 2 is new, though
<em>(2 × 9 × 1 is a repeat...)
</em><em>(2 × 3 × 3 is a repeat...)
</em>(aaaand 1 × 1 × 18 is a repeat. let's count up our combinations.)
<em>
</em>
There are 6 possible ways to multiply numbers together and get 18...
So 6 possible rectangular prisms.
4 0
3 years ago
Need ko po answer plssssss
evablogger [386]
It’s really blurry, I can’t help :(
7 0
3 years ago
Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
lesantik [10]
I think c because it is right i think
3 0
3 years ago
Read 2 more answers
What’s the answer to f(a)
S_A_V [24]

Answer:

The answer to this is fa

Step-by-step explanation:

This is because you as the solver doesn't know what the variables f or a is so you put them together as multiplication until you do understand what f and a are so you can multiply them.

If you were to graph this it would be a horizontal line going infinite in both directions. That means no slope or y axis.

6 0
3 years ago
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