When the queen counted her jewels, she found that she had five pearls for each diamond, two opals and three rubies for each diamond, and two emeralds for each opal. if she has three diamonds, how many jewels does she have altogether?

I believe she would have 45 gems total

3 diamonds

5 pearls per diamond = 15 pearls

2 opals and 3 rubies per diamond= 6 opals and 9 rubies

2 emeralds per opal= 12 emeralds

3+15+6+9+12= 45 gems total

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

d

step-by-step explanation:

i used the pitagoras theoreme