Lily has $2.75 in her pocket, consisting of dimes and quarters. if there are 17 coins in all, how many of each does she have?

There are 10 dimes and 7 quarters of coins in all she have.

Step-by-step explanation:

Given:

Lily has $2.75 in her pocket, consisting of dimes and quarters.

There are 17 coins in all.

Now, to find the number of coins each she have.

Let the dimes be

And the quarters be

So, the total number of coins:

.......(1)

The value of a dime = $0.10.

And the value of a quarter = $0.25.

Now, the total money Lily has in her pocket:

Putting the value in the place of we get:

⇒

⇒

Subtracting both sides by 1.7 we get:

⇒

Dividing both sides by 0.15 we get:

⇒

The number of quarters = 7.

Now, putting the value of in equation (1) we get:

Subtracting both sides by 7 we get:

⇒

The number of dimes = 10.

Therefore, there are 10 dimes and 7 quarters of coins in all she have.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

a 360 degree rotation

step-by-step explanation: