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Anestetic [448]
3 years ago
13

Prudence has 20 pairs of gold earrings and 4 pairs of silver earrings in a drawer in her jewelry box. If she randomly pulls six

pairs of earrings out of the drawer to take with her on a trip, which of the following is the best prediction of the number of pairs of earrings that will be gold?
Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0
There is a 0.833 chance that she pulls a golden earring 
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A student solves the following equation and
Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}

\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}

\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)

\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)

\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)

as

  • \frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)
  • -\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a
  • \frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2

so equation becomes

3\left(a-2\right)-6a=a+2  

-3a-6=a+2

-3a-6+6=a+2+6

-4a=8

\mathrm{Divide\:both\:sides\:by\:}-4

\frac{-4a}{-4}=\frac{8}{-4}

a=-2

\mathrm{Verify\:Solutions}

\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}

\mathrm{Solve\:}\:a+2=0:\quad a=-2

\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2

\mathrm{Solve\:}\:a-2=0:\quad a=2

So the following points are undefined

a=-2,\:a=2

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0
3 years ago
There are 48 calories of energy in 40g of rice. How many calories are in 160 g of rice?
Rashid [163]
160 grams of rice is four times larger than the given 40 g. 
<span>So the number of Calories must be 4 times larger too. </span>

<span>48 x 4 = 192 Calories in 160 g of rice</span>
5 0
3 years ago
Read 2 more answers
Os It true<br> 0.9 is 1/10 of 0.09
goldfiish [28.3K]
Yes it is add a zero to it as the tenth powers increases
6 0
3 years ago
24 lb turkey for 15 people​
lord [1]

Answer:

Each person gets 1.6 of the turkey

Step-by-step explanation:

24/15 = 1.6

8 0
3 years ago
There are two types of boxes containing mangoes. Each box of the larger type contains four more mangoes than the number of mango
Ket [755]

Answer:

12

Step-by-step explanation:

(100-4)/8

12

that the answer

6 0
3 years ago
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