Answer:
all work is shown and pictured
Answer:
the third one 10 cm, 9cm 9cm
Answer:
Amount of money Judy has in her account is
.
Amount of money Tommy has in his account is 
Step-by-step explanation:
To find : Amount of money in Judy account and amount of money in Tommy account:
Solution:
Given:
Judy has $7500 more than a number in her account.
Let the number be 'n'.
So we can say that;
Amount of money in Judy account is equal to 7500 plus number.
framing in equation form we get;
Amount of money in Judy account = 
Hence Amount of money Judy has in her account is
.
Now Given:
Tommy has 6 more than 3 times the amount of money in his bank account than Judy.
So we can say that;
Amount of money in Tommy account is equal to 3 multiplied by Amount of money in Judy account plus 6.
framing in equation form we get;
Amount of money in Tommy account = 
Hence Amount of money Tommy has in his account is
.
Answer:
10
Step-by-step explanation:
So we have the expression:

First, evaluate within the absolute value bars. 3 times -4 is -12. Thus:

Now, subtract:

The absolute value of -10 is positive 10. So:

And we're done!
Answer:
The equation representing how old Monique son is 
Step-by-step explanation:
From the given information:
A linear function can be used to represent the constant growth rate of Monique Son.
i.e.

where;
= initial height of Monique's son
= growth rate (in)
t = time
So, the average boy grows approximately 2 5/8 inches in a year.
i.e.


Then; from the equation 


The height of the son as a function of the age can now be expressed as:

Then:
Making t the subject;


and the age of the son i.e. ( a (in years)) is:
a = 2 + t
So;

SO;
if q (growth rate) = 50 inches tall
Then;


a = 2 + 6.095
a = 8.095 years
a ≅ 8 years
i.e.
Monique son will be 8 years at the time Monique is 50 inches tall.