alyssagonzales2021
11.09.2019 •
Mathematics
Lena's mother asked her to count the number of pennies in the penny jar. her mother said i made seven stacks of six pennies each and there were four leftover pennies. when lena counted she made nine stacks of five pennies each and two left.
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Ответ:
Part a) 9*5+2
Part b) 7*6+4
Part c) Lena is correct
Part d) see the explanation
Step-by-step 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 " >"
Ответ: