On Tuesday Shanice bought five hats. On Wednesday half of all the hats that she had were destroyed. On Tuesday there were only 17 left. How many did she have on Monday?

So on Monday, Shanice had 29 hats.

Step-by-step explanation:

Let x be the number of hats that Shanice had  on Monday.

We know that on  Tuesday Shanice bought five hats.  

On Wednesday half of all the hats that she had were destroyed.    

On Thursday there were only 17 left.

We have the following equation:

So on Monday, Shanice had 29 hats.

c

step-by-step explanation:

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