The ratio of dimes to quarters in a money bag is 2:14. if the total numbers of coins is 48, how many quarters are there?

There are 42 quarters (and 6 dimes).

Step-by-step explanation:

The given ratio is 2:14.  But this does not tell us how many dimes nor how many quarters we have.  Instead, it's a ratio.  Modify this by multiplying numerator and denominator by n and then find n:

Number of dimes        2n

=

Number of quarters     14n

Then the total number of coins is 2n + 14n =48, implying that:

16n = 48, or n = 3.

Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =

14(3) = 42.

There are 42 quarters (and 6 dimes).  Notice how the total of 42 and 6 is 48.

false

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.