Ugh, these questions.
21x^3y^4 + 15x^2y^2 - 12xy^3
3xy^2 (7x^2y^2 + 5x - 4y)
Clearing up clutter...
3xy² (7x²y² + 5x - 4y)
That's your answer. Thanks for working my brain. ;)
Answer:
13.5
Step-by-step explanation:
3 cups for 24 muffins
x cups for 108 muffins
x=(108*3)/24
x=13.5
9514 1404 393
Answer:
56, 60, 64
Step-by-step explanation:
The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.
The numbers of interest are 56, 60, 64.
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<em>Additional comment</em>
For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.
Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.
Answer: The width is 14m
Step-by-step explanation: The question has provided the perimeter as 60. The available clues are such that the length measures 2m more than it's width. This means whatever is the width of the rectangle, the length shall be equal to plus 2. Hence, if the width is W, the length is W + 2.
So we have,
Perimeter = 60
Length = W + 2 and
Width = W
Already the perimeter is given as
Perimeter = 2(L + W)
We can now express the perimeter as follows;
60 = 2(W + 2 + W)
60 = 2(2 + 2W)
By cross multiplication we now have
60/2 = 2 + 2W
30 = 2 + 2W
Subtract 2 from both sides of the equation
28 = 2W
Divide both sides of the equation by 2
14 = W.
Remember that the length is given as W + 2, so the length becomes
14 + 2 = 16
Therefore, the width equals 14 m.
To round to the nearest tenth, look at the tenths place and then look at the hundredths. If the hundreths is 5 or more, you round up, and if its 4 or less you round down. THE ANSWER IS 6.5
