Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
n = 9
Step-by-step explanation:
Step 1: Write equation
-4(9n + 9) = -12(4n - 6)
Step 2: Solve for <em>n</em>
<u>Distribute:</u> -36n - 36 = -48n + 72
<u>Add 48n to both sides:</u> 12n - 36 = 72
<u>Add 36 to both sides:</u> 12n = 108
<u>Divide both sides by 12:</u> n = 9
Step 3: Check
<em>Plug in n to verify if it's a solution.</em>
-4(9(9) + 9) = -12(4(9) - 6)
-4(81 + 9) = -12(36 - 6)
-4(90) = -12(30)
-360 = -360
Answer:
adult tickets sold: 407
student tickets sold: 839
Step-by-step explanation:
Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8
x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32
Answer: x-intercept = (32,0)
