George has 16 coins in his pocket. he has both dimes and quarters. if he has $2.20 in his pocket, how many of each coin does he have

Let's assume

number of dimes in coin as 'd'

number of quarters in coin as 'q'

we are given

total number of coins is 16

so, we get

we know that

1 dime =$0.10

1 quarter=$0.25

we have

he has $2.20 in his pocket

so, we get equation as

so, we get system of equation as

Firstly, we will solve for q from first equation

now, we can plug back q

now, we can solve for d

now, we can solve for q

so,

number of dimes coins are 12

number of quarter coins are 4...........Answer

250

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq