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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?

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