Johnathan picked colored beads from a jar 50 times, replacing the bead each time. He picked a red bead 12 times, a yellow bead 14 times, and a blue bead 24 times. How many blue beads should Johnathan expect to pick out of 150 times?

72 beads

Step-by-step explanation:

From the question, we have the information that Johnathan picked colored beads from a jar 50 times and replaced the bead each time. Jonathan picked a red bead 12 times, yellow bead 14 times, and a blue bead 24 times.

Out of 50 picks, the following beads were picked:

Red = 12

Yellow = 14

Blue = 24

Total = 50

Fraction of blue bead = 24/50 × 100

= 48%

The blue beads that Johnathan will pick out of 150 beads will be:

= 48% of 150

= 48/100 × 150

= 0.48 × 150

= 72 blue beads

Jonathan will pick 72 blue beads out of 150 beads.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!