Answer: x= 1/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x−5(x−1)=2x−(2x−3)
x−5(x−1)=2x+−1(2x−3)(Distribute the Negative Sign)
x−5(x−1)=2x+−1(2x)+(−1)(−3)
x−5(x−1)=2x+−2x+3
x+(−5)(x)+(−5)(−1)=2x+−2x+3(Distribute)
x+−5x+5=2x+−2x+3
(x+−5x)+(5)=(2x+−2x)+(3)(Combine Like Terms)
−4x+5=3
−4x+5=3
Step 2: Subtract 5 from both sides.
−4x+5−5=3−5
−4x=−2
Step 3: Divide both sides by -4.
−4x
/−4
=
−2
/−4
x = 1/2
Independent variable (IV): something the scientist can change.
Thus, in this case, the IV can be the weight of the person.
Answer:
since angle B and angle C contains the same arc AD. set the angles equal
11x-3=8x+15
x=6
so the angle has a measure of 63 degrees
the central angle is the angle of the arc
and it is always 2 times the angle that we just that contains the arc but does touches the end of the circle.
so its 63 *2 =126 degrees.
Step 1
Let n represent car and m represent motorcycles.
n + m = 50 ...................1
car has four wheels and motorcycle has two wheels
4n + 2m = 164 .............................. 2
Step 2
Solve equation 1 and 2 simultaneously.
from (1), make n subject of relation and substitute in equation 2.
n = 50 - m
Step 3
Substitute n in equation 2
4(50 - m) + 2m = 164
200 - 4m + 2m = 164
collect like terms
200 - 164 = 4m - 2m
36 = 2m
m = 36/2
m = 18
next find n
n = 50 - m
n = 50 - 18
n = 32
There are 32 cars and 18 motorcycles.
