Answer:
B= 15 adults tickets
C= 35 student tickets
Step-by-step explanation:
x+y=50
solve for y
y=50-x
5x+3y=180
5x+3(50-x)=180
5x+150-3x=180
2x=30
x=15
y=50-15
y=35
Answer:
It will take Josie 80 minutes to run 10 miles.
Step-by-step explanation:
We can set up a proportion between the number of minutes she runs to the number of miles she runs. From what we know in the equation, we know that it takes her 24 minutes to run 3 miles, and it takes x minutes to run 10 miles. We can represent this in a proportion!
We know that the ratio of 24:3 will be the same for any number of miles, so we can say
We can solve this by first simplifying the left hand side then isolation x by multiple both sides of the equation by 10.
24/3 = 8
8 = 
80 = x
It will take Josie 80 minutes to run 10 miles.
Answer:
168.24784 m²
Step-by-step explanation:
Area of the square:
28 x 28=784 sq. m.
Area of the circle:
π(r²)=π(14)²=196π
=615.75216
Area not covered by the sprinkler:
784-615.75216=168.24784 m²
Answer:
Step-by-step explanation:
Givens
Area = L * w
w = x
l = x + 4
Area = 32
Solution
32 = x(x + 4)
32 = x^2 + 4x
x^2 + 4x - 32
(x + 8)(x - 4)
Only x - 4 is going to make any sense
x - 4 = 0
x = 4
The width is 4
The length is 4 + 4 = 8
4*8 = 32 which is the area.