Sincere is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. Determine how many coins of each he is holding.

14 Quarters and 6 Dimes

Step-by-step explanation:

You write out two equations each with 2 unknown variables

Let x = number of dimes

Let y = number of quarters

Two Equations:

y + x = 20

.25y + .10x = 4.10

Now we have two equations with two unkowns so we can substiture

x = 20-y , now plug x back into your 2nd equation

.25y + .10(20-y) = 4.10

.25y + 2 - .10y = 4.10, now solve for y

.15y = 2.10

y = 14, Plug y into your first equation

x + 14 = 20

x = 6

Final 14 Quarters and 6 Dimes

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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