Thomas has $6.35 in dimes and quarters. the number of dimes is three more than three times the number of quarters. how many quarters does he have?

if q represents the number of quarters, then which of the following expressions represents the value of the number of dimes in cents?

3q + 3
6.35 - q
10(3q + 3)

A: Thomas has 11 quarters.

B. Option C is the correct answer.

Step-by-step explanation:

Let q represents the number of quarters.

Let d represents the number of dimes.

Thomas has $6.35 in dimes and quarters.

1 dime= $0.10

1 quarter= $0.25

We get the equation:

 ......(1)

The number of dimes is three more than three times the number of quarters. Equation forms:

  ......(2)

Substituting the value of d in (1)

=>

=>

=>

=> q = 11

And

=> d = 36

Hence, Thomas has 11 quarters.

To know the expression that represents the value of the number of dimes in cents, we will multiply the number of dimes by 10  as 1 dime = 10 cents

=>

So, option C is correct.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

168

step-by-step explanation:

i am pretty sure that the answer is 168