In a shop a the cost of 4 shirts and 4 pair of trousers and 2 hats is $660. the cost of 9 shirts and 9 pair of trousers and 6 hats is $1,399 what’s the cost of 1 shirts and 1 pair of trousers

$193.67

Step-by-step explanation:

Let x = shirts

Let y = trousers

Let z = hat

4x + 4y + 2z = 660

9x + 9y + 6z = 1399

Divide the second equation by 3.

3x + 3y + 2z = 466.33

Subtract both equations .

4x + 4y + 2z = 660

3x + 3y + 2z = 466.33

x  +  y = 193.67

So 1 shirt and 1 trouser will be $193.67

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west