Cathy has 39 coins, which are either nickels or quarters. If she has $4.95, how many nickel coinsdoes she have? nickels

24 nickels

Step-by-step explanation:

1. n= nickels

q=quarters

2. n+q=39

.05n+.25q=4.95

3. n=39-q (Replace n with what n is equal to in the other equation) .05(39-q)+.25q=4.95

4. Solve for q: (.05x39)+(.05x-q)+.25q=4.95

5. 1.95-.05q+.25q=4.95 (Combine like terms)

6. 1.95+(-.05q+.25q)=4.95

7. 1.95+0.2q=4.95

8. Move 1.95 to the other side of equal sign by subtracting it from both sides. 0.2q=3

3/0.2= 15... so quarters=15

So if you look back at the other equation it says n+q=39. So, 39-15=24. There is 24 nickels.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation: