Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jayden has.

11 pennies and 9 nickels

Step-by-step explanation:

Set up a system of equations where p is the number of pennies and n is the number of nickels:

p + n = 20

0.01p + 0.05n = 0.56

Solve by substitution by rearranging the first equation:

p + n = 20

p = 20 - n

Then, plug this in as p into the second equation, and solve for n:

0.01p + 0.05n = 0.56

0.01(20 - n) + 0.05n = 0.56

0.2 - 0.01n + 0.05n = 0.56

0.2 + 0.04n = 0.56

0.04n = 0.36

n = 9

Then, plug this into the first equation to solve for p:

p + n = 20

p + 9 = 20

p = 11

So, Jayden has 11 pennies and 9 nickels

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer:

1.14285714286

step-by-step explanation:

divide 40 into 35 and you will get your answer