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Answer:
- (-8, -4)
Step-by-step explanation:
<h3>Given</h3>- Line segment JL with J(8, -8) and L(-16, -2)
- Coordinates of K if K divides JL two-thirds from J
- JK = 2/3JL
<u>Coordinates of K</u>
- x = 8 + 2/3(-16 - 8) = 8 + 2/3(-24) = 8 - 16 = - 8
- y = -8 + 2/3(-2 - (-8)) = -8 + 2/3(6) = -8 + 4 = - 4
- K = (-8, -4)
Let n be the number of nickels and q be the number of quarters in the jar.
Worth of each nickle is $0.05 and worth of each quarter is $0.25. So worth of n nickles will be 0.05n and worth of q quarters will be 0.25q.
There are 150 total coins in the jar. So we can write the equation as:
n + q = 150 (Equation 1)
Total value of coins is $26.70. So we can write the equation as:
0.05n + 0.25q = 26.70 (Equation 2)
From Equation 1 value of n comes out to be n = 150 - q. Using this value in Equation 2, we get:
Using the value of q in Equation 1, we get the value of n to be 54.
This means, John has 54 nickles and 96 quarters in the jar.