Unit conversions will almost always fall into a division or multiplication problem. In this case we are being asked to convert a smaller unit to a larger one, so it will be a division problem.
The standard metric goes on the bottom of the fraction always, so 10/16 or 10÷16 is the problem.
10÷16= .625 pounds of cheese.
Answer:
x = 147
Step-by-step explanation:
33 and x form a straight line which means they add to 180
x+33 =180
x = 180-33
x = 147
All the triangles are isosceles meaning that they have to sides that are equal
The dimensions of the prism can be 2x, 2x+3 and x+6.
We first factor out the GCF of the trinomial. The GCF of the coefficients is 2. Each term has an x in common as well, so the GCF is 2x.
Factoring out the 2x, we have
2x(2x²+15x+18).
To factor the remaining trinomial, we find factors of 2*18=36 that sum to 15. 12*3 = 36 and 12+3 = 15. We split up 15x into 12x and 3x:
2x(2x²+12x+3x+18)
Now we group together the first two terms in parentheses and the last two:
2x((2x²+12x)+(3x+18))
Factor out the GCF of the first group:
2x(2x(x+6)+(3x+18))
Factor out the GCF of the second group:
2x(2x(x+6)+3(x+6))
Factoring out what these have in common,
2x(x+6)(2x+3)
