Answer:
Part a) 9*5+2
Part b) 7*6+4
Part c) Lena is correct
Part d) see the explanation
Explanation:
The complete question in the attached figure
Part a) Write a numerical expression to represent Lena’s way of counting
To represent Lena’s way of counting, multiply the number of stacks by the number of pennies in each stack plus the number of pennies left over
Let
x -----> the number of stacks
y ----> the number of pennies in each stack
z ----> the number of pennies left over
so

we have
x=9 stacks
y=5 pennies
z=2 pennies
substitute

Part b) Write a numerical expression to represent her mother's way
To represent her mother’s way of counting, multiply the number of stacks by the number of pennies in each stack plus the number of pennies left over
Let
x -----> the number of stacks
y ----> the number of pennies in each stack
z ----> the number of pennies left over
so

we have
x=7 stacks
y=6 pennies
z=4 pennies
substitute

Part c) Lena thinks her mother must have been working with fewer pennies than she was. Is Lena correct?
we have that
Lena’s expression

Simplify

Her mother’s expression

Simplify

therefore
Lena’s expression is more.
Lena is correct
Part d) Use a < , > , or = symbol to show how the two expressions compare


The number 47 is greater than the number 46
therefore
The symbol is " >"