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:
triangle ABC is an equilateral so all angles and sides are equal to each other
AB = 6
triangle DEF is an isosceles so two of its angles are equal to each other
a triangles angles add up to 180°
to find the measure of these angles we’ll write this equation:
x + x + 40 = 180
and solve for x
2x + 40 = 180
2x = 140
x = 70°
so mF is 70°
Answer:
"Big Game's competitive footballs are the exact dimensions set down by the NCAA – approximately 10.5 to 11.5 inches in length, with a circumference of roughly 28 inches on the long side of the ball and 21 inches on the short side."
Step-by-step explanation:
Hope this helps
Answer:
22.45%
To two decimal places
Step-by-step explanation:
A book has 245 pages and she has only read 55 of the pages. To get the percentage:
55/245 and then multiply it by 100.
55/245
=O.2245 (To four decimal places)
0.2245 x 100
22.45% (To two decimal places)
She has only read 22.45% of the book. To convert it to a whole number, that's 22% of the book has been read