Answer:
$10 bill = 14 and $20 bill = 16.
Step-by-step explanation:
Given : A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $460.
To find : How many of each type of bill does the cashier have.
Solution : We have given that
A cashier has 30 bills
Let bill of $10 = x .
Bill of $20 = y .
Money of $10 = 10x .
Money of $20 = 20y.
Total bill
x + y = 30-------(1)
10x + 20y = 460-----(2)
On multiplying equation 1 by 10 and subtracting from equation 2.
10x + 20 y = 460
(-)10x +(-) 10 y = (-)300
______________
0 + 10 y = 160 .
On dividing by 10
y = 16 .
Plug y = 16 in equation 1
x + 16 = 30
On subtracting both sides by 16.
x = 30 - 16.
x = 14
Therefore, $10 bill = 14 and $20 bill = 16.
Answer:
Step-by-step explanation:
Solution
= −1
= 1
The general term of the number sequence is +7 therefore the next teem would be 65+7=72
We know that
In any quadrilateral where the vertices are on the circumference of a circle, the opposite angles add up to

degrees.
So,
in this problem

therefore
the answer is
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:

Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:

Now, we can use simple substitution to solve for m, or the slope.

Therefore, the slope of the line is 1.