what is the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2235)

Answers

Answer 1
Answer: 2×3=6
the answer is 2 and 3
Answer 2
Answer: You would use the factor tree

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A movie theater needed 48 popcorn buckets. If each package has 9 buckets in it, how many packages will they need to buy?

Answers

the will need 6 boxes because 9 times 5 is 45 and you need 3 more boxes to make 48 buckets
If they have 48 buckets and each package makes 9 buckets all you have to do is divide 48/9 = 5.3 so all you need is 6 packages because 5.3 isn't sold so 6 or 5 and a small one. 

explain the pattern used to place the decimal in the answer when you multiply or divide a decimal by a power of 10

Answers

all you are really doing is if you divide you are moving the decimal to the left and when you times you are moving the decimal to the right 

The sum of the areas of two circles is 8pie square meters. Find the length of a radius of each circle ifone of them is twice as long as the other.what is the radius of the larger circle?

Answers

nice

area=pir^2
the areas are
pir^2+pi(2r)^2
they add to 8pi

8pi=pir^2+pi(2r)^2
undistribute pi
8pi=pi(r^2+(2r)^2)
divide both sides by pi
8=r^2+(2r)^2
expand
8=r^2+4r^2
add
8=5r^2
divide by 5
8/5=r^2
sqrt both sides
√(8/5)=r
double since it is double
2√(8/5) is radius of bigger aka (4√10)/5

radius=(4√10)/5

I'm so confused can someone help me with number 4

Answers

Ok so first with a you have 
a=2 b=5 c=7
and the problems are 2a+10 and 2b+c
Well to do this we are going to right 2a+10 as 2*a+10
So now lets replace a.
and since a=2 we have 2*2+10
2*2=4+10=14
So A is 14
and now for be we have 2b+c
Lets re-write it as 2*b+c
and now replace
2*5+7
2*5=10+7=17
b is 17.
Now with the next (4)
For a it is x=7
Subtract 3x from both sides.
Subtract 5 from both sides.
x=7
and for B
x=3
Subtract 3x from both sides.
Add 10 to both sides.
Divide both sides by 4.
x=3
Hope this helps!

Please answer the question from the attachment.

Answers

2+y≤3
y≤3-2
y≤1

If you simply subtract the 2 from the left side and the right side, you solve for y

Estimate each product 5/7×1/9=

Answers

Multiply it out to get 5/7*1/9=5/63.  This is an exact value of the product.