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:
Option A. 5.25 units
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values
solve for XZ
Answer:
8 intersections
Step-by-step explanation:
Miss Stevens drove through a total of 36 intersections on her way home from work last week.
At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .
This is calculated as:
36 intersections ÷ 16 intersections
= 2 4/16
= 2 1/4
At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .
4 of every 16 intersections = stop for a red light
Hence:
16/4 = 4 intersections
Hence: 4 intersections = 1 stop for a read
The number of intersections that Miss Stevens had to stop for a red light is:
2 × 4 intersections = 8 intersections
