Larissa eats 3/5 of a 1.5-pound bag of goldfish in 5/6 of an hour. If she eats goldfish at a constant rate, how long, in hours, would it take her to finish a 5-lb box of goldfish?

it will take Larissa 4 17/27 hours to finish 5lbs of goldfish

Step-by-step explanation:

1.5 pound = 1 1/2 pound equivalent to 3/2 pounds

3/5 of a 1.5-pound

= 3/5 × 3/2 pounds

= 9/10 lbs of goldfish eaten in 5/6 hours

how long, in hours, would it take her to finish a 5-lb box of goldfish?

Find the ratio

9/10 lbs of goldfish : 5/6 hours = 5lbs of goldfish : t hours

9/10 ÷ 5/6 = 5 / t

Solve for t

9/10 × 6/5 = 5 / t

54 / 50 = 5 / t

Cross multiply

54 × t = 50 × 5

54t = 250

Divide both sides by 54

t = 250 / 54

= 4 34/54

= 4 17/27 hours

Therefore, it will take Larissa 4 17/27 hours to finish 5lbs of goldfish

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