A collection of nickel and quarters is worth $4.65. There are 3 more nickels than quarters. How many coins are there in the collection?

There are 15 quarters and 18 nickles

Step-by-step explanation:

The equations derived from this word problem are

5n + 25q = 465

and

3 + q = n

Fill (3 + q) into n in the first equation then solve. You get q = 15.

Then plug 15 into second equation (cause it's easier).

You get n = 18

24 units

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)