Answer:
there were 200 children and 500 adults at the show
Step-by-step explanation:
7x+10y=6400
x+y=700
x=700-y
7(700-y)+10y=6400
4900-7y+10y=6400
-7y+10y=1500
3y=1500
y=500
x=700-y
x=700-500
x=200
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37
/−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
As you move from each place to the left one place, the value increases by 10. If you move right a place, the value decreases by 10.
Let
x = number of common cars
y = number of suvs
we can write the following system of equations
x-y = 12
x = 1.429y
Solving the system we have
x-y = 12
1.429y-y = 12
and (1,429-1) = 12
y = (12) / (1,429-1) = 27.97202797
then,
x = 1429 * (27.97202797)
x = 39.97202797
answer
The number of suvs in the parking lot is 28
