Jeremy has a collection of dimes and quarters. overall, he has 51 coins and their total value is $10.35. what is the total value of only the quarters?

$8.75

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

is an equation representing the total number of coins is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get . We now substitute this for d in the second equation.

After simplifying, we subtract 5.1 across and divide by the coefficient of q.

We now know of the 51 coins that 25 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

The answer is 6 weeks

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.