The speed of one car is 'S'. The speed of the other car is (S + 10).
In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.
Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.
500 = (5S) + 5(S + 10)
500 = 5S + 5S + 50
500 = 10S + 50
Subtract 50 from each side:
450 = 10S
Divide each side by 10
S = <u>45</u>
S + 10 = <u>55</u>
First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23
Answer:
Lets work through it.
1. Distribute values:
2/3x-4=6
2. Move variables to one side
2/3x=10
3.Divide by 2/3 or multiply by 3/2
x=10*1.5
4. Answer=1.5
Answer:
33
Step-by-step explanation:
angles on a straight line sum up to 180°
104+x+x+10=180
114+2x=180
2x=180-114
2x=66
x=33
Answer:
option C. is correct answer it is 2/5