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3 years ago

Kaia rewrote the sum 96 + 12 as 12(8 +1). She used the same method to

1 answer:

6 0

Kaia found a common dividend (if thats the right word), a common factor that both could be divided by, and then did the distributive property backwards pretty much, taking out that common factor from each. You can't use it on that last one because eleven is a prime number (unable to be divided by anything other than one and itself), so the two numbers won't have a common dividor number thingy.

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Drag the tiles to the boxes to form correct pairs.

FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0

3 years ago

Assume that the custodian of a $705 petty cash fund has $147. 50 in coins and currency plus $535. 50 in receipts at the end of t

zloy xaker [14]

Answer:

$528
If not then it might be $385

7 0

1 year ago

If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (

exis [7]

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

7 0

4 years ago

What is 1 1/4 × 4 3/4 =

Luden [163]

First, we need to turn this into an improper fraction. Therefore we have: 1 1/4 = 5/4 and 4 3/4 = 19/4
Now we multiply across and eliminate as needed.
5/4 * 19/4 = 95/16
Finally, we reduce and convert to a mixed fraction.
16 goes into 95, 5 times with a remainder of 15. Therefore, we can conclude that our answer is: 5 15/16.

4 0

3 years ago

Translate : 5 more than a number squared (variable expression)

ohaa [14]

Answer:

5+x^2

Step-by-step explanation:

five more (5+) than a number squared (x^2)

4 0

3 years ago