Sylvie needs $110 for a concert ticket. she already has $16 and she can earn the rest by working 10 hours at her job. if h represents her hourly earnings, which of the following equations can be solved to find sylvie’s hourly earnings? select all that apply. a. 110 – 16 = 10h b. 110 = 16h + 10 c. 16 = 110 – h d. 110 = 16 + 10h e. 110 + 16 = 10h

Given, Sylvie needs $110 for a concert ticket.

Sylvie has $16.

Her hourly earnings = $h

Sylvie is working 10 hours at her job.

She is getting in 1 hour = $h

So, 10 hours she will get = $ = $

So the total amount she has now = $16 + $(10h) = $()

So we can write the equation as,

We can move 16 to the left side also. 16 is added to the right side. We can move it by using reverse operation of addition. Reverse operation of addition is subtraction. So we will subtract 16 from both sides. Subtracting 16 we will get,

We have got the required answer.

To find Sylvie's hourly income the correct options are option A and option D.

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