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Ugo [173]
3 years ago
8

a bag is filled with blue and green marbles. there are three rimes as many blues as green ones. if the bag contains 280 marbles

total. how many blue ones are there?
Mathematics
2 answers:
Anna11 [10]3 years ago
6 0
There are 210 blue marbles! 
zepelin [54]3 years ago
6 0
Let b represent blue marbles
g represent green marbles
Then,
We know that there are three times as many blues as green ones, so
b=3g
Next,
the bag contains 280 marbles total, so:
b+g=280 marbles
Substitute b=3g into this equation, to get
3g+g=280 marbles
4g=280 marbles
Divided 4 to each side
4g/4=280/4
g=70 marbles
b=3r
b=3(70)
b=210 marbles
Check:
b=3r
210=3(70)
210=210
b+g=280
210+70=280
280=280. As a result, there area 210 blue marbles. Hope it help!
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(3ab+2c)^3 what is the answer
svet-max [94.6K]

Answer:

=27a^3b^3+54a^2b^2c+36abc^2+8c^3

Step-by-step explanation:

(3ab+2c)^3

=(3ab+2c) × (3ab+2c) ×

=(3ab+2c)(9a^2b^2+12abc+4c^2)

=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)

=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3

=27a^3b^3+54a^2b^2c+36abc^2+8c^3

<em>hope this helps....</em>

5 0
2 years ago
What is the sum of the numbers as the product of their GCF and another sum ( 30+54)
hodyreva [135]
2x3=6. So the Greatest Common Factor (GCF) is 6
5 0
3 years ago
Help please Rewrite as an improper fraction.
NARA [144]
The answer is the second option, 37/11.

3/4/11 = 3 wholes of 11 = 33.
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4 0
3 years ago
Read 2 more answers
Urgent help needed fast
Katena32 [7]

Answer:

Below

Step-by-step explanation:

You can use this formula to find the sum of an arithmetic series

     Sn = n / 2 (a1 + an)

You need to find the number of terms in each series before using the formula

     Tn = a + (n - 1) d

a) 53 = 5 + (n - 1) 3

      n = 17

Sn = 17 / 2 (5 + 53)

    = 493

b) 98 = 7 + (n - 1) 7

      n = 14

Sn = 14 / 2 (7 + 98)

   = 735

       

c) -102 = 8 + (n - 1) -5

        n = 23

Sn = 23 / 2 (8 + (-102))

   = - 1081

d) 41/3 = 2/3 + (n - 1) 1

        n = 14

Sn = 14 / 2 (2/3 + 41/3)

    = 301 / 3 or 100 1/3  

Hope this helped! Best of luck <3

7 0
2 years ago
Which choice is equivalent to the expression below when y2 0?<br> √y^2 + √16y^3 – 4y√y
DanielleElmas [232]

Answer:

Option C.

Step-by-step explanation:

We start with the expression:

\sqrt{y^3}  + \sqrt{16*y^3} - 4*y\sqrt{y}

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}

And:

y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}

If we apply these two to our initial expression, we can rewrite it as:

\sqrt{y^3}  + \sqrt{16*y^3} - 4*y\sqrt{y}

\sqrt{y^3}  + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}

Here we can use the second simplification again, to rewrite:

\sqrt{y^3} = y*\sqrt{y}

So, concluding, we have:

\sqrt{y^3}  + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}

Then the correct option is C.

8 0
3 years ago
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