-18+4x
2(2x-9)
4x=18
-4x=-18
x=18/4
-x=-18/4
Answer:
A person in a group where 5 people are sharing 3 small bags of snickers
Step-by-step explanation:
Let the number of calories in one bag of snickers =x
Number of calories in 3 small bags of snickers =3x
- If 5 people share 3 small bags of snickers, 1 person's share
Number of calories in 2 small bags of snickers =2x
- If 7 people share 2 small bags of snickers, 1 person's share
We then compare the two.
Let x=1
Therefore, a person in a group where 5 people are sharing 3 small bags of snickers gets more calories.
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
