Answer:
Option A - 
is the standard form of the equation.
Step-by-step explanation:
Given : Linear equation - 
To convert into the standard form.
Standard form of the equation is in form Ax+By=C
So to convert this equation into the standard form we have to multiply both side of the equation by -1, so that the value for A is positive.
After multiplying by -1 the form is
is the standard form of the equation.
Therefore, Option A is correct.
Answer:
D. 105 students and 150 guests
Step-by-step explanation:
105 students and $1 for each ticket is $105.(105 x 1 = 105)
150 guests and $5 for each ticket is $750.(150 x 5 =750)
$105 + $750 = $855
Answer:
- Seat 1: Peter
- Seat 2: Lia
- Seat 3: Kenny
- Seat 4: Jennie
- Seat 5: Harvey
- Seat 6: Joyce
- Seat 7: Rick
- Seat 8: Mark
Step-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
- Seat 4: Jennie
- Seat 5: Harvey
From Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
From Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
By Rule 5: Lia is next to Kenny, therefore:
From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Therefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
