Distance = rate * time
t = d / r
t = 91 / 14 = 6.5 hrs
plus 2 hour rest stop
8.5 hrs
start at 7 AM
end at 3:30 PM
-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.
I believe 25 has to be added as
(x*5)^2 = x^2 + 10x + 25
Answer:
1) 
2) 
Step-by-step explanation:
You can convert he mixed numbers to improper fractions:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained to the numerator.
3. The denominator does not change.
Then:
Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:
Divide 15 by 4. The quotient will be 3 and the remainder 3.
Then:
32/60 =
32 ÷ 60 ≈
0.533333333333333 =
0.533333333333333 × 100/100 =
0.533333333333333 × 100% =
(0.533333333333333 × 100)% ≈
53.333333333333% ≈
53.33%;
