Answer:
Total laps = 10d
Step-by-step explanation:
Let c = Carl's laps
d = Daria's laps
e = Erin's laps
c = 3d
c = e/2
c + d + e = totals laps
We can insert 3d in place of c in the third equation
3d + d + e = total laps
Also, e/2 equals 3d
e/2 = 3d
Multiply both sides by 2
(e/2 = 3d)2
e = 6d
Insert the new e
3d + d + 6d = 10d = totals laps
Answer:
The subtraction property of equality
Option A is correct
Explanation:
The given equation is:
12 - x = 7x + 32
Subtract 12 from both sides
12 - 12 - x = 7x + 32 - 12
-x = 7x + 20 (Step 1)
From step 1 above, subtract 7x from both sides
-x - 7x = 7x - 7x + 20
-8x = 20 (Step 2)
Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality
<h2>
Answer:</h2>
Option: B is the correct answer.
B. 36,623 feet
<h2>
Step-by-step explanation:</h2>
The angle of elevation is: 55 degree
We model this problem by taking a right angled triangle such that the side opposite to the 55 degree is of length 30000 feet.
Now let us consider x denote the distance of the plane from Francesa.
i.e. x denote the hypotenuse of the right angled triangle.
Hence, in right angled triangle i.e. ΔABC we have:
Round to the nearest feet we get: x=36,623 feet
Y= -4x + 6 (-10, 46), (-1.11, 10.44),
y= -5x -4. (-10, 46)
whereas (-10, 46) is the solution for both equations, it is the correct choice
