Partial Quotient is the process of division that engage remainders on the first part of division.
The given situation:
partial quotients to divide 145 by 5.
Let’s start solving,
=> 145 / 5
How many 5 are there in 145
=> 14 / 5 = 2, (2 x 5 = 10)
Bring down 4, then bring down 5
=> 45 / 5 = 9
Thus the answer is 29, there are 29 5s in 145.
Answer: he bought 5 green pencils
Step-by-step explanation:
Let x represent the number of green pencils that Dustin bought.
Dustin bought 9 pencils. The remainder of the pencils were purple. This means that the number of purple pencils that he bought is 9 - x
Some of the pencils were green and cost $0.90 each. The remainder of the pencils were purple and cost $0.65 each. If Dustin paid $7.10 for all of the pencils, it means that
0.9x + 0.65(9 - x) = 7.1
0.9x + 5.85 - 0.65x = 7.1
0.9x - 0.65x = 7.1 - 5.85
0.25x = 1.25
x = 1.25/0.25
x = 5
Answer:
y = -(2/3)*x - 11
Step-by-step explanation:
To convert a point-slop equation into a linear function, there are certain steps which have to be followed. The primary aim is to make y the subject of the equation. By making sure that y is on the left hand side of the equation and x is on the right hand side of the equation, our goal will be achieved. To do that, first of all do the cross multiplication. This will result in:
3(y+7) = -2(x+6).
Further simplification results in:
3y + 21 = -2x - 12.
Keeping the expression of y on the left hand side and moving the constant on the right hand side gives:
3y = -2x - 33.
Leaving y alone on the left hand side gives:
y = -(2/3)*x - 33/3.
Therefore, y = -(2/3)*x - 11!!!
