Answer:
There are 21 twenties and 8 fifties in the drawer.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of twenties
y is the number of fifties.
A cash drawer contains 29 bills.
This means that x + y = 29.
The total value of the bills is $820.
This means that 20x + 50y = 820.
So
x + y = 29
20x + 50y = 820
From the first equation, x = 29 - y. So:
20x + 50y = 820
20(29 - y) + 50y = 820
580 - 20y + 50y = 820
30y = 240
y = 8
And
x = 29 - y = 29 - 8 = 21
There are 21 twenties and 8 fifties.
Answer:
He needs to purchase more raisins then because since its the most popular item he will get more money and customores.
Step-by-step explanation:
Congruent means they are the same length.
Set both lines equal to each other and solve for x:
x + 5 = 2x -10
Subtract x from both sides:
5 = x -10
Add 10 to both sides:
x = 15
Now you have a value for x, replace x in the equation of the line and solve:
QR = x +5 = 15 +5 = 20
The <em><u>correct answer</u></em> (though it is not one of the choices) is:
Alternate Interior Angles Theorem.
Explanation:
Alternate interior angles are angles that are inside the parallel lines and on opposite sides of the transversal. Treating BA as a transversal, ∠DBA and ∠BAC are both inside the parallel lines and on opposite sides of BA, the transversal. This makes them alternate interior angles, and means that they are congruent.
