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

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

answer:   y=2x-3

step-by-step explanation: