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3 years ago

There are 55 blue marbles and 143 red marbles we want to place these

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

Answer:

A.8

Step-by-step explanation:

Citrus2011 [14]3 years ago

5 0

Answer:

9 boxes

Step-by-step explanation:

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

3 0

3 years ago

Find the 94th term of the arithmetic sequence 25, 31, 37...

avanturin [10]

Answer:

589 is da answer

Step-by-step explanation:

25+6(94)=?

6 0

3 years ago

Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first

Daniel [21]

2 Letters chosen among 6 with no repeat:
a) the first has 6 ways
    the second has 5 ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)
   the first has 10 ways
   the second has 10 ways
    the third has 10 ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways
And the total serial numbers that can be generated is
30 x 1000 = 3000

8 0

3 years ago

David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and

Agata [3.3K]

The correct quadratic equation;
x2+7x-2=0

Working
Assuming the frame has a uniform thickness;
Then length of mirror and frame is 3+x and width 2+x

The area of mirror and frame area;
A=L*W
8=(3+x)(2+x)
8=(6+5x+x2)
Taking 8 to the Right hand side, we have:
x2+5x-2 =0

4 0

4 years ago

Read 2 more answers

There are 30 contestants playing a game. Off the 30, 16 are men and 20 are wearing glasses. If all of the women are wearing glas

Whitepunk [10]

Answer:

1/5

Step-by-step explanation:

There are 30 contestants. 16 are men, which means 14 are women.

All 14 women wear glasses. Since 20 of the contestants wear glasses, that means there are 6 men who wear glasses.

So the probability that a randomly selected contestant will be a male with glasses is 6/30 or 1/5.

8 0

3 years ago