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Bingel [31]
3 years ago
11

Roger served 5/8 pound of crackers, which was 2/3 of the entire box. what was the weight of the crackers originally in the box

Mathematics
1 answer:
ira [324]3 years ago
4 0
5/8 = 2/3 the entire box

Half of 2/3 is 1/3, and 2/3 + 1/3 = 1

So find half of 5/8 and add it to 5/8.

5/8 * 1/2 = 5/16

5/8 + 5/16

Change 5/8 to a fraction with a denominator of 16:

10/16 + 5/16 = 15/16

So the original weight is 15/16 pounds.
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Answer:

dddddddddddddddddddddddd could be rewritten as d^24 because d*d*d*d*d*d*d... = d^24

Step-by-step explanation:

When we multiply all of the d's together we get d^{24}.

4 0
3 years ago
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A bottle of water contains 450ml. How many litres of water are there in 8 of these bottles
In-s [12.5K]

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

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1000ml = 1 litre

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2 years ago
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What is the value of the sum of all the terms of the geometric series 300, 60, 12, …?
ruslelena [56]
<h3>Answer:   375</h3>

=========================================

Work Shown:

a = 300 = first term

r = 60/300 = 0.2 = common ratio

We multiply each term by 0.2, aka 1/5, to get the next term.

Since -1 < r < 1 is true, we can use the infinite geometric sum formula below

S = a/(1-r)

S = 300/(1-0.2)

S = 300/0.8

S = 375

----------

As a sort of "check", we can add up partial sums like so

  • 300+60 = 360
  • 300+60+12 = 360+12 = 372
  • 300+60+12+2.4 = 372+2.4 = 374.4
  • 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88

and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.

----------

Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.

3 0
3 years ago
There are 21 bags of pears on a market stall.
geniusboy [140]

Answer:

13 pears in the 21st bag

Step-by-step explanation:

mean = total number of pears/total number of bags

8 = x/21

x = 168

number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)

= 155

number of pears in the 21st bag = 168 - 155

= 13

4 0
3 years ago
What angle pair relationship is shown?
snow_lady [41]

Answer:

hmmmmmmmmmmmm ( thanks heavily in mind) if I can remember correctly I'm pretty sure it would be c

Step-by-step explanation:

I done this question for

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