Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
so their are 6 adults and 24 kids because when you add 18+6 and get 24
then you multiply 6(24) because adult tickets are 24 and get 144
then you multiply 24(12) because student tickets are half as much as parents so they are 12 and you multiply by 24 kids and get 288
then you add 288 student tickets total price +144 adult ticket total price =432 total cost fro all tickets
<u>⇨ By prime factorization method:</u>
Answer:
3%
Step-by-step explanation:
13 is 25% of 52. If Mickey´s first diamond is aimed to be drawn on the 8th draw, then you need to divide 25% by 8.
This would result in 3.125%
Answer:
w = 52°
Step-by-step explanation:
We know that the sum of the angle of a triangle is equal to 180 degrees
In this figure,
w+w+76 = 180
As w = w (Vertically opposite angles)
So,
2w = 180-76
2w = 104
w = 52
So, the value of w is equal to 52°.
