When Amy was asked to count the number of tricycles and bicycles in her mother’s bicycle shop she got bored. Rather than just counting the vehicles, she decided to count the number of pedals and the number of wheels. She counted 132 wheels and 112 pedals. How many bicycles and how many tricycles did her mother have in her shop? Explain how you got your answer.

20 tricycles and 36 bicycles.

Step-by-step explanation:

3x + 2y = 132

2x + 2y = 112

X = 20  

Y =36

3(20) + 2(y) = 132

60 + 2y = 132

2y = 72

y = 36

step-by-step explanation:

; fx

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places