In step three the prblem was incorrect. this is because you have to add four from both sides leading to 8x=20+3x then you have to subtract 3x which is 5x=20. divinding both sides by 5 is:
X=4
Answer:
{w} is the SUBSET of {s,w,n,t,c}
Step-by-step explanation:
SUBSET: Any set P is called a SUBSET of a set Q is ALL ELEMENTS of P are in the set Q.
i.e P ⊂ Q
Here, the given set Q = {s,w,n,t,c}
Also, set P = {w}
Now,as the element w of set P is also an element of set Q.
⇒ P is the SUBSET of Q
⇒ P ⊂ Q
⇒ {w} ⊂ {s,w,n,t,c}
Hence, {w} is the SUBSET of {s,w,n,t,c}.
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6
Answer:
$348.75
Step-by-step explanation:
$465 * 25%= 116.25
465-116.25 = $348.75
Answer:
A
Step-by-step explanation:
We require to find ∠ A
Subtract the sum of the given angles from 180
∠ A = 180° - (85 + 53)° = 180° - 138° = 42°
Using the Sine rule in Δ ABC, that is
=
, that is
=
( cross- multiply )
AC × sin42° = 85 × sin85° ( divide both sides by sin42° )
AC =
≈ 126.6