Let p, n, d represent the number of pennies, nickels, and dimes respectively. The problem statement tells us
.. p +n +d = 150
.. 2p -n = 14
.. 3p -d = 22
Add these three equations to find the number of pennies.
.. (p +n +d) +(2p -n) +(3p -d) = 150 +14 +22
.. 6p = 186
.. p = 31
.. n = 2*31 -14 = 48
.. d = 3*31 -22 = 71
Maria has 31 pennies, 48 nickels, and 71 dimes.
Answer: 14
Step-by-step explanation:
<h3>
Answer: Choice B) 5 units</h3>
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Explanation:
This is a 45-45-90 triangle. The legs are both the same (both 5) and the hypotenuse is in the form x*sqrt(2) where x = 5 is the length of each leg. You can use the pythagorean theorem to solve for b as shown below
a^2 + b^2 = c^2
5^2 + b^2 = (5*sqrt(2))^2
25 + b^2 = 50
b^2 = 50-25
b^2 = 25
b = sqrt(25)
b = 5
So this proves the two legs a = 5 and b = 5 are the same. This is an isosceles right triangle.
Well for us to find the answer we would do the oppsite
the oppsite of multiplaction is division
so we would divide 266 and 7 witch is 36 so 36 is your answer