Answer:
3xy
Step-by-step explanation:
We are to determine the GCF of the expression.
![6(x^3)(y^3)+45(x^2)(y^2)+21xy](https://tex.z-dn.net/?f=6%28x%5E3%29%28y%5E3%29%2B45%28x%5E2%29%28y%5E2%29%2B21xy)
THe GCF of the expression is the term that exactly divides all the terms in the expression
<u>Step 1</u>
If we observe the expression carefully, we notice that it has a common term of 3, x and y. That is, 3,x and y divides each term.
<u>Step 2</u>
Divide by 3xy for confirmation
![3xy\left(\dfrac{6(x^3)(y^3)}{3xy} +\dfrac{45(x^2)(y^2)}{3xy}+\dfrac{21xy}{3xy}\right)\\=3xy[2(x^2)(y^2)+15xy+7]](https://tex.z-dn.net/?f=3xy%5Cleft%28%5Cdfrac%7B6%28x%5E3%29%28y%5E3%29%7D%7B3xy%7D%20%2B%5Cdfrac%7B45%28x%5E2%29%28y%5E2%29%7D%7B3xy%7D%2B%5Cdfrac%7B21xy%7D%7B3xy%7D%5Cright%29%5C%5C%3D3xy%5B2%28x%5E2%29%28y%5E2%29%2B15xy%2B7%5D)
Therefore, we can confirm that the GCF is 3xy.
there are 50 states, NY is the 27th largest so before NY there are other 26 states that are larger than NY.
if we take 50 to be the 100%, what is 26 off of it in percentage?
![\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 26&x \end{array}\implies \cfrac{50}{26}=\cfrac{100}{x}\implies \cfrac{25}{13}=\cfrac{100}{x}\implies 25x=1300 \\\\\\ x=\cfrac{1300}{25}\implies x=52](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20amount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%2050%26100%5C%5C%2026%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B50%7D%7B26%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B25%7D%7B13%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%5Cimplies%2025x%3D1300%20%5C%5C%5C%5C%5C%5C%20x%3D%5Ccfrac%7B1300%7D%7B25%7D%5Cimplies%20x%3D52)
Answer:
4
Step-by-step explanation:
Let total number of vegetables be y and number of carrots be x
x+3x=y
4x=y
the smallest whole number is 1
x=1
y=4
Answer:
surface area is the answer
The volume of the box is l*w*h, or l*w*10, and also the volume is 360. so, 10lw=360, meaning l*w=36, so we are looking for whole number factors of 36.
length: 1 2 3 4 6 9 12 18 36width:36 18 12 9 6 4 3 2 1
there are a total of 9 possible ways to make the base of the box so your answer would be 9