We can write a system of equations:
1x + 10y = 182
x + y = 56
Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.
To find this we can solve using substitution.
Re-arrange the 2nd equation:
x + y = 56
Subtract 'y' to both sides:
x = -y + 56
Now we can plug in '-y + 56' for 'x' in the first equation.
1x + 10y = 182
1(-y + 56) + 10y = 182
-y + 56 + 10y = 182
Subtract 56 to both sides:
-y + 10y = 126
Combine like terms:
9y = 126
Divide 9 to both sides:
y = 14
Now we can plug this into any of the two equations to find the 'x' value.
x + y = 56
x + 14 = 56
Subtract 14 to both sides:
x = 42
So our final answer is (42, 14).
This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
Answer:

Step-by-step explanation:
This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign (
) instead of just less than or greater than ( < or >).
Answer:

Step-by-step explanation:



Answer:

Step-by-step explanation:
Given
See attachment for illustration
Required
Find x
To do this, we apply Pythagoras theorem.
From the attachment, the length of the hypotenuse is 16.7ft
While the length of the opposite/adjacent is 8.9ft
Length x is calculated using:



Take square roots


A = 1/2bh = 1/2(5)(12)
A = 60/2 = 30
answer
30 in^2