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jeka94
3 years ago
15

What other compatible numbers could you use for 428 and 286

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
How about raising 286 up by 14 to 300 and compensating by lowering 428 by the same 14 Since I know that 14 + 14 is 28  then 28-14 is 14
So 428 - 14 = 414
So now I have 414 + 300 which I can do mentally - the answer is 714 and is also the answer to the original problem 428 + 286

Compensation works very well - bring one number up or down to a rounded number and compensate by doing the opposite to the other  - instead of 199 + 457 - try 200 + 456
Same answer and because one of the numbers is nicely rounded, it is easy to add the other. 

One more:  207 + 182  becomes 200 + 189 =389   I lowered one by 7 and raised the other one by the same 7.

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Ken keeps paper clips in a box that is the shape of a cube. Each side of the cube is 3inches. What is the volume of the box?
Allisa [31]
Volume of cube = L^3 
so, volume = 3^3 = 27 inch^3
4 0
3 years ago
Read 2 more answers
Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
3 years ago
A company needs to package 7,560 beads. A wooden container shaped like a rectangular prism can hold 180 beads. A plastic cylindr
Kobotan [32]
For the wooden box, if you do 7560 ÷ 180 you get 42. that's how many boxes you would need. multiply 42 by the cost of the wooden boxes: 42 × 0.70 you get 29.40 dollars

for the plastic container, do 7560 ÷ 126 which equals 60, the amount of plastic containers you would need. multiply 60 by the plastic containers cost: 60×40= 24 dollars.

to save money, the company should use the plastic containers because it costs less than the wooden ones.
8 0
2 years ago
Read 2 more answers
Write all names that apply to 7/8
pogonyaev
Seven eighth, 7 over 8, 7/8, 0.875, 
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3 years ago
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Why in the world did I have nearly 800 points worth of questions deleted? Every single one of them were right! What do I do now?
vekshin1

Answer:

read your username :)

Step-by-step explanation:

5 0
3 years ago
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