James spent 4/5 of his birthday money on three sweaters and four hats each sweater cost twice as much as each hat if he had $35 left after his shopping spree how much did james pay for each hat

Hat costs $17.5

Step-by-step explanation:

Let x represent the cost of one sweater.

Let y represent the cost of one hat.

James spent 4/5 of his birthday money on three sweaters and four hats. This means that she spent 4/5 of his birthday money on 3x +4y

Each sweater cost twice as much as each hat. It means that

x = 2y

Assuming his total birthday money was $z and after spending 4/5 of it on the hats and sweaters, he had $35 left after his shopping spree, then,

z - 4z/5 = 35

Cross multiplying by 5

5z - 4z = 175

z = 175

This means that his birthday money was $175

It means that

3x + 4y = 175 - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

3(2y) + 4y = 175

6x + 4y = 175

10y = 175

x = 175/10= 17.5

x = 2y = 17.5×2 = $35

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet