Answer:
The actual building is 13.3 feet tall.
Step-by-step explanation:
Let the actual height be 'x'.
Given that on a scale drawing with a scale of 1/20, the height of the building is 8 inches, the expression becomes
(1/20) × x = 8
x = 20 × 8 = 160 inches
We know that
Thus,
160 inches = 160/12 ≈ 13.3 feet
Therefore, the actual building is 13.3 feet tall.
Answer:
37.94
Step-by-step explanation:
the 9th percentile is equal to a zscore of -1.34
-1.34=(x-50)/9
x=37.94
Write a proportion and solve for x ....
12 / x = 4 / 117
Cross multiply ...
12 * 117 = 1404
x * 4 = 4 x
4 x = 1404
x = 351
Original vertices:
1 (-3, 2)
2 (-5,-4)
3 ( 4, 6)
4 ( 7, 0)
dilated by a scale factor of 0.50
1) -3*0.50 = -1.5 ; 2 * 0.50 = 1 ⇒ (-1.5,1)
2) -5*0.50 = -2.5 ; -4*0.50 = -2 ⇒(-2.5,-2)
3) 4*0.50 = 2; 6*0.50 = 3 ⇒ (2,3)
4) 7*0.50 = 3.5; 0*0.50 = 0 ⇒ (3.5,0)
B.)
-1.5 -2.5 2 3.5
<span> 1 -2 3 0 </span>
The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
