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.
Answer:
A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees.
Step-by-step explanation:
The answer is D. I hope this helps love! :)
Answer:
The coordinates of
are
and
.
Step-by-step explanation:
Let be
and
endpoints of segment AB and
a point located 7/10 the way from A to B. Vectorially, we get this formula:


By Linear Algebra we get the location of
:



If we know that
and
, then:




The coordinates of
are
and
.
Answer:
Alternate Interior angles! ? = 50 :)
Step-by-step explanation:
They are both interior, and they are alternate, so the type of angle pair is an alternate interior angles pair!
Relationship: They are congruent to each other!
They are also both equal! :)