9514 1404 393
Answer:
2 2/3
Step-by-step explanation:
Let the number be represented by x. Then the problem statement is telling you ...
4 5/9 = 2 1/3 + (5/6)x
You can isolate the x term by subtracting 2 1/3 from both sides of the equation. (The properties of equality require that the same operation be performed on both sides of the equation.)
(4 5/9) - (2 3/9) = (2 3/9) -(2 3/9) +(5/6)x
2 2/9 = (5/6)x
The definition of the multiplicative inverse tells you that the coefficient of x can be made to be 1 if the term is multiplied by (6/5). We must do that to both sides of the equation.
(6/5)(2 2/9) = (6/5)(5/6)x
(6/5)(20/9) = x . . . . simplify
120/45 = x . . . . . . do the multiplication
8/3 = x = 2 2/3 . . . . . . . reduce the fraction
The number is 2 2/3.
_____
<em>Additional comment</em>
The number we're looking for is multiplied by 5/6 and the result has 2 1/3 added to it. To find the number, we "undo" these operations, in reverse order. We undo the addition by subtracting the amount that was added. We undo the multiplication by multiplying by the inverse of that factor.
This is the sort of logic that you would use to fill in the blank for ...
7 = 1 + 3×___
You probably recognize that this breaks down into two problems:
7 = 1 + ___ . . . . . (6 goes in the blank)
and
6 = 3×___
You may notice that for all of these problems, a good knowledge of addition and multiplication facts is useful.
1) fractions equivalent to 25/45
Any fraction obtaining by multiplying both numerator and denominator by the same quantity will result in an equivalent fraction.
Examples:
- divide both numerator and denominator by 5 => 5/9 is equivalent
- multiply both numerator and denominator by 2 => 50 / 90 is equivalent
- multiply both numerator and denominator by 10 => 250 / 450 is equivalent.
2)
<span>Spinning two fours on a spinner divided into four numbered sections: these are independent events, becasue one result does not influence the other.
Selecting two kings from a standard deck of cards by choosing a card at
random, placing it in your pocket, then choosing the second card: they are not independent, because if the first card is a king the probability of the second card will be different than if the first card is not a king.
Selecting two green marbles by choosing one from a bag at random, giving the first to a friend, then choosing another: they are not independent because whether the first two marbles are green or not, make the probabilities for the second event different.
Selecting the names of two siblings by choosing slips of paper from a
hat at random, pinning the selected slip on a bulletin board, and then
selecting another.: they are not independent, by similar reason explainded in the two previos options.</span>
Answer:
Step-by-step explanation:
Givens
(x - 1)(6x - 5) = 0
Solution
Either one of these can be made into 0 by solving the binomials in the brackets.
x - 2 = 0 Add 2 to both sides
x -2 +2= 0+2 Combine
x = 2
6x - 5 = 0 Add 5
6x -5+5 = 0+5 Combine
6x = 5 Divide by 6
6x/6=5/6
x = 5/6
Answer
Integer Answer: x = 2
Fractional Answer x = 5/6
2( p + 3) = answer...............
I don’t understand what u mean??