Answer:
At 5 hours both skating rinks will cost the same.
Step-by-step explanation:
5 + 2(5) = 15
10 + 1(5) = 15
(x,y) = (5,15)
Answer:
Number of cows is 23
Number of chickens is 46
Step-by-step explanation:
Let's assume
number of cows =x
we are given
Mr.Yan has almost as twice as many chickens and cows
so,
Number of chickens =2x
We know that
Number of legs in a cow =4
Number of legs in a chicken =2
now, we can set up equation
So,
Number of cows =23
Number of chickens is
Answer:
x - 5y = 22
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
x = 5y - 9
-5y = -x - 9 (subtract 5y and x from both sides)
y = x/5 + 9/5 (divide both side by -5)
Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = x/5 + b
We are given a point (x, y) of (2, -4), so plug that in and solve for b.
-4 = 2/5 + b
-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)
-20/5 - 2/5 = b
-22/5 = b (simplify)
So the equation of our line is y = x/5 - 22/5
Step 3: Standard form is ax + by = c, where a is a positive integer
subtract x/5 from both sides...
-x/5 + y = - 22/5
multiply by -5 so x becomes a positive integer
x - 5y = 22
Answer:
{3π/4 , 7π/4}
Step-by-step explanation:
2 + Tanθ = 1
tan θ = 1 -2
Tanθ = -1
θ = 3π/4 and 7π/4
Hypotenuse squared is side square plus side squared. 10 squared is 2 x X squared. X is 5 root 2