Solve the system of equations and choose the correct answer from the list of options. d + e = 12
−d + e = −8

Label the ordered pair as (d, e). (4 points)

(0, 0)
(2, 10)
(10, 2)
(12, 0)

9514 1404 393

  (c)  (10, 2)

Step-by-step explanation:

Adding the two equations, we have ...

  (d +e) +(-d +e) = (12) +(-8)

  2e = 4

  e = 2 . . . . . . matches choice C

  (d, e) = (10, 2)

Step-by-step explanation:

Given that:

To Label:

Adding equation (i) and (ii).

⟶ d + e + (- d + e) = 12 + (- 8)

⟶ d + e + - d + e = 12 - 8

Cancelling d.

⟶ 2e = 4

⟶ 2e = 2 × 2

Cancelling 2.

⟶ e = 2

In equation (i)

⟶ d + e = 12

Putting the value of e.

⟶ d + 2 = 12

⟶ d = 12 - 2

⟶ d = 10

Hence,

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

6 adults and 9 children went.

a + c = 15

12a + 9c = 153

12(6) + 9(9) = 153

72 + 81 = 153