While shopping, lucinda spent $48. if the amount she spent was 15% of her savings, how much savings did she have before she she shopped ?

$320

Step-by-step explanation:

Let the savings of Lucinda is denoted by 'x' .

If the amount she spent was 15% of her savings.

Then , the amount she spent would be 0.15x

[We can write 15% in 0.015 ∵ to convert a percentage sign we divide it by 100.]

It is given that  Lucinda spent $48.

Hence, she had $320 as savings before she she shopped.

-1   1/6.   you dont subtract the denominators

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