All students in the 6th grade either
have a libary card or don't.
20% don't have a libary card
160 do have a libary card

40 students without a library card.

200 students overall

Step-by-step explanation:

First of all, the 160 students with a library card are 80% of the students.

So we're trying to find 20% or how many have one over all? I'll answer both then.

First, you might want to set up a table or double number line if that helps. You should have 80%=160 filled in if you're doing that.

To find 20%, you should do 160 divided by 4. This is because %80 divided by 4 is %20, and 160 also needs to be divided by 4.

160 divided by 4 is 40. So 40 students don't have a library card.

To find out how many students there are overall, just do 40 plus 160 equals 200.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

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