Answer:
x1 = 275 miles (shorter)
x2 = 318 miles (longer)
Step-by-step explanation:
Let
x1 = be the shorter route
v1 = speed of the car in the shorter route
t1 = time it took to cover shorter route
x2 = the longer route
v2 = speed of the car in the longer route
t2 = time it took to cover longer route
x1 + 43 = x2 (1)
v2 = v1 -2 (2)
v2 = x2/t2 = x2/6
v1 = x1/t1 = x1/5
This means that
v2 = v1 -2 =>
x2/6 = x1/5 -2
The system of equations results
a. x1 -x2 = -43
b. x1/5 - x2/6 = 2
Solving this system of equations, we find that
x1 = 275 miles
x2 = 318 miles
Like CREED creed? cus we just talked and he denied all of this
Answer:
see explanation
Step-by-step explanation:
Using the ratio equality for circles
= 
(a)
Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus
= 
= 
( cross- multiply )
3C = 180 ( divide both sides by 3 )
C = 60 mm
(b)
Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus
= 
( cross- multiply )
225C = 1188 ( divide both sides by 225 )
C = 5.28 cm
Answer:
Simplifying
x = -25
Step-by-step explanation:
Reorder the terms:
10x + -6(5 + 2x) = 20
10x + (5 * -6 + 2x * -6) = 20
10x + (-30 + -12x) = 20
Reorder the terms:
-30 + 10x + -12x = 20
Combine like terms: 10x + -12x = -2x
-30 + -2x = 20
Solving
-30 + -2x = 20
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '30' to each side of the equation.
-30 + 30 + -2x = 20 + 30
Combine like terms: -30 + 30 = 0
0 + -2x = 20 + 30
-2x = 20 + 30
Combine like terms: 20 + 30 = 50
-2x = 50
Divide each side by '-2'.
x = -25
