Design for a library has a scale of 1/3 inch equals 1 foot. The height of library in the drawing is 12 inches. Whats the actual height of the library?

So we know 1/3 of an inch is the same as 1 foot. Which is 12 inches.

So it's easier to calculate, we can say that 1/3*3 = 1. Therefore, we don't have to deal with fractions.

This means that we need to multiply 3 * 12 = 36 to find out how many 1/3's we need. So multiply 1/3 by 36 to double-check:

1/3 * 36 = 12.

The question is asking us the actual height. And we know 1 foot = 1/3 inches.

1 * 36 = 36 feet.

Another way to do it is, we know that there are 3    1/3's  to get to 1. Which means it's 3 feet IRL. We know we gotta multiply by 12 to get to 12, so

3*12 = 36.

3201

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)