Answer:
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Step-by-step explanation:
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1/2 = 3/6
Each children got 1/6
3/6 - 1/6x = 0
3/6 = 1/6x
X = 3, she has 3 children
X + y = 250
y + 40 = x
x + y = 250
y = x - 40
x + y = 250
- x + y = - 40
2y = 210
y = 105
Laura spent 105 hours, and Michael spent 145 hours there
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2 positive unit tiles are needed to complete the factorization.
Given
The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.
<h3>Partial factorization;</h3>
Partial fractions are the fractions used for the decomposition of a rational expression.
When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.
In the second line, we can see that first term 1 is labeled + x squared, second is labeled +<u> </u><u>2x</u><u> (two positive </u><u>tiles </u><u>above),</u> then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
The negative values are represented as tiles labeled below (negative tiles) while positive values are tiles labeled above (positive tiles).
Therefore,
The factorization is;

Hence, 2 positive unit tiles are needed to complete the factorization.
To know more about Partial factorization click the link given below.
brainly.com/question/2057063
Answer:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.