The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of pair of jeans = y
According to given statement;
4x+3y=124.25 Eqn 1
3x+5y=161.25 Eqn 2
Multiplying Eqn 1 by 3
Multiplying Eqn 2 by 4
Subtracting Eqn 3 from Eqn 4
Dividing both sides by 11
Putting 24.75 in Eqn 1
Dividing both sides by 4
The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Keywords: linear equation, elimination method
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First find out what 5% of 900 is.
0.05 * 900 = 45
Now subtract this from 900.
900 - 45 = 855
So £900 decreased by 5% is £855.
i think the answer is (0.765+0.0459x)
Answer:
a) 
b) 10
Step-by-step explanation:
a) Here 
Since the case 
= ∇
holds, then
∇
= 
So, 
If we integrate 
with respect to x, we will get an integration constant C which is also a function that depends to y and z.
Hence,
Now we need to find g(y,z).
So first let's take the derivative of g(y,z) with respect to y.
Hence, 
So now, if we integrate 
with respect to y to find g(y,z)
Thus,
And since 
, then 
Thus,
b) By the Fundamental Theorem of Line Integrals, we know that
![\int\limits^a_b F. dr = F[r(b)]-F[r(a)]](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%5Br%28b%29%5D-F%5Br%28a%29%5D)
Hence,
![\int\limits^a_b F. dr = F(1,1,1)-F(0,0,0) =[(5+1+4)-(0+0+0)]=10](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20F.%20dr%20%3D%20F%281%2C1%2C1%29-F%280%2C0%2C0%29%20%3D%5B%285%2B1%2B4%29-%280%2B0%2B0%29%5D%3D10)
