Answer:
Penelope's account balance at the end is $850.70.
Step-by-step explanation:
Penelope has $1,459.75 in her bank account.
To pay her bills, she writes 4 checks for $200.25, $359.45, $125, and $299.35.
Adding all these we get -
After all the bills her balance left = dollars
Now, she deposits $375 into her account.
So, her new balance will be = dollars.
Therefore, Penelope's account balance at the end is $850.70.
Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:
Their sum is 59. So:
This is a system of equations. Solve by substituting the first equation into the second. Thus:
Combine like terms:
Subtract 5 from both sides:
Divide both sides by 2:
So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!
Answer:
h less-than 2
Step-by-step explanation:
Let
h ---> the number of hours
y ---> the total charge in dollars
we know that
The linear equation is slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
we have
<em>Grayson</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation A
<em>Ian</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation B
For what number of hours does Grayson charge more than Ian?
The inequality that represent this situation is
solve for x
Group terms
Divide by 10 both sides
Rewrite the expression
----> h less than 2 hours