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Jlenok [28]
4 years ago
15

Place 20 pennies in a row on a table. Replace every fourth coin with a nickle. Now replace every third coin with a dime. Then re

place every sixth coin with a quarter. What is the value of the 20 coins now on the table?
Mathematics
1 answer:
inna [77]4 years ago
6 0

Answer: $1.35

Step-by-step explanation:

Changing every fourth coin to a nickle will give you 5 nickles because 20/4 is 5. Then replacing every third coin with a dime will give you 6 dimes. Then finally every sixth coin with a quarter will give you 3 quarters. However there is some overlap where you are replacing a nickle with a dime or a dime with a quarter so it ends up being 3 quarters, 3 dimes, and 4 nickles with the rest being pennies.

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Step-by-step explanation:

the typical line equation is

y = ax + b

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going from one to the other point

x changes by +8 (from -6 to 2).

y changes by +4 (from 3 to 7).

so, the slope a is +4/+8 = 1/2.

the semi-finished equation is

y = 1/2 x + b

for b we use one of the points in the equation and since for b. let's go for (2, 7) :

7 = 1/2 × 2 + b = 1 + b

6 = b

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