Question

Can someone answer this question please answer it correctly and show work please

Answer 1

Answer:

5) C pink   6) A -1/2x + 1/4     7) D z ≥ 0

Step-by-step explanation:

5) White 1/6 = 4/24

  Green  1/3 = 8/24

  Pink 1/8 = 3/24

  Yellow 3/8 = 9/24

6) 11/2x - 2(3x - 1/8)       Distribute the -2

   11/2x - 6x + 1/4           Combine like terms

-1/2x + 1/4

7) z ≥ 0

z is greater than or equal to 0

Answer 2

Answer:

5)  C

6)  A

7)  C

Step by step explanation:

Probabilities of choosing each color:

White: 1/6

Green: 1/3

Pink: 1/8

Yellow: 3/8

Find a common denominator

1/6, 1/3, 1/8, 3/8

24

4/24 , 8/24 ,  3/24 , 9/24

3/24, (pink) has the highest chance of being picked because it's numerator is the highest of all the options.

C

6)

$\frac{11}{2}x -2(3x - \frac{1}{8} )$

Multiply 2 by the values inside the parenthesis

$\frac{11}{2}x\ -6x\ +\ \frac{1}{4}$

Convert 11/2x into a mixed number

$5\ \frac{1}{2} x-6x\ +\ \frac{1}{4}$

Subtract the x's

$-\frac{1}{2} x + \frac{1}{4}$

The answer to question #6 is A

7)

-2z ≥ 0

Use a few examples to represent z

z = -1       z = 0       z = 1

-2(-1)        -2(0)        -2(1)

  2             0             -2

The value of -2z must be greater than zero, so z equaling any positive number is not an option.

The two option that did work for the value of z were (z = -1) and (z = 0),

so the inequality that represents this is (z ≤ 0)

C

Hope this helps :)