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Assume:

the # of yellow marbles is x

the # of green marbles is 2x

the # of blue marbles is 3x

the # of white marbles is 4x

x+2x+3x+4x=180

10x = 180 

x = 18

the # of blue marbles = 3x = 3(18) = 54 marbles

Let BC and BZ both equal x. The angle bisector theorem provides us with:

AC/AB = CZ/BZ

16/(16+x) = 16/y

We solve y in terms of x, and as a result,

y = 16(16+x)/16 = x+16

Upon substitution, we discover—

16/(16+x) = 16/(x+16)

If we cross-multiply, we obtain:

16(x+16) = 16(16+x)

Simplifying, we get:

16x + 256 = 256 + 16x

In light of the fact that 16x cancels on both sides, we are left with:

256 = 256

As a result, there exist an endless number of BC and BZ values that could satisfy the requirements.

And your solution is incorrect, the correct answer is 940. You would have to use multiplicative inverses in your solution.

What is CRT + MMI?

Good job!

Set the two givens =

(x-2a)(x-b) = x^2 +ax+b

x^2 -2ax-bx+2ab = x^2+ax+b

-2ax-bx+2ab = ax+b

so    -2ax-bx = ax      and   2ab = b  

        -2a-b = a          and    2 ab = b

         -b = 3a             and   2a = 1

         -b = 3a             and  a = 1/2

        -b = 3/2

         b = -3/2                  You can add them together...I hope !   

If I am comprehending correctly, your answer has no solution because it amounts to 3x=3x+6 which is unsolvable.

Your brother has $70 and you have $80

From this, we can infer that going 10 mph faster will get you there 45 minutes earlier. This means x/50=x/40+0.75. When you solve for x, you get 150. You drove 150 miles!

We are told that 7 out of 12 people are bored by cable news and that 280 people at the convention are bored by cable news. We divide 280 by 7 and get 40. We multiply 40 by 12 to figure out the total number of people in the convention. This is 480(40x12) and we subtract that from the people who are bored by cable news(280). When we subtract 480-280 we get our final answer of 200 who are not bored by cable news.

 Work:

7/12= 280/x

7x=3360

x=480

480-280=200

Final Answer: 200

You start by adding all the numbers in the ratio and divide the total by that number. This results in 1+2+3+4=10 and 180/10=18

We then find that the blue is 3 in the ratio, so we multiply 18 by 3 to get our answer of 54 blue marbles

Work:

x+2x+3x+4x= 180

10x=180

x=18

18x3=54

54 blue marbles

wait nvm i got it. the 2nd equation is simplified to x^12 and since x^6 = 8, then x^12 = 8x8 = 64...

add all the ratio numbers and then divide it by how many marbles there are. 

1+2+3+4=10 

180/10=18

18x3=54

54 blue marbles

if you began with $80 and he bagan with $70

you gave him $5 so now both of you are on $75

he gives you $25 so now you're at $100 and he's at $50

That's bit difficult for me even I'm looking for the answer for the same question

Is there anyone, who can help us

what is the slope of a pipe that 120 feet long and drops 6 feet     

If you visualize a right triangle with one side 6 feet and the hypotenuse 120 feet  

then the sine of the angle opposite the 6 foot side is 6/120, which equals 0.05.  

Then use your calculator, or the tables, to find the arcsine of that ratio.   

          sin^–1(0.05) = 2.8659...  rounded to a reasonable number is 2.87.   

                                                                  The slope of the pipe is 2.87^o.  

_.

I would like to request a new answer?

BUMMPPPPPPP plpease

Thanks, that's right!

I don't have the answer but if I understand the question correctly, Guest are you saying that 72 to the power of 4 must equal 48???

We need to add all the ratio numbers which equal 10. 

10x = 180

x = 18

Blue = x multiply 3