We must first solve the number of fiction and nonfiction books
if x is the number of fiction books and
y is the number of nonfinction books
Then,
x + y = 400
x = y + 40
Solving the system of equations:
x = 220
y = 180
Therefore, the probability that Audrey and Ryan will get both nonfiction books is
P = 180/400 + 179/399
P = 0.8986
<h3>
Explanation:</h3>
Given:
- total score is 63
- field goals score 3
- touchdowns score 7
Find:
- a linear equation representing the relationships given
- a graph of that equation
- combinations of field goals and touchdowns that give the score
Solution:
1. see above for what is given
2. <em>Touchdowns and field goals can be represented by variables</em>. In the attachment, field goals are represented by x, and touchdowns are represented by y.
The score value of a field goal is 3, so the total score from x field goals can be written as the term 3x.
Likewise, the total score from y touchdowns can be written as the term 7y.
__
The equation of interest is then ...
3x + 7y = 63
The graph of it, and its integer solutions, is attached.
Possible combinations of (field goals, touchdowns) are ...
(0, 9), (7, 6), (14, 3), (21, 0)
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
y is the painting's value
x is the time in years
a is the initial value
r is the rate of change
we have
substitute
using a graphing tool
The graph in the attached figure
Answer:
(6550)
Step-by-step explanation:
You can put this solution on YOUR website!
Call the number of hardcover and paperback books, h and p.
Thus
h + p = 8 and the value equation is
4h + 2p = 26
Now multiply the top one by four and subtract from the second one...we get
4h + 2p = 26
-(4h + 4p = 32)
----------------
-2p = -6
p = 3 so that
h = 5 x + y = 8, (1)
4x + 2y = 26, (2)
where x and y are the numbers of hardcover and softcover books respectively.
To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get
4x - 2x = 26 - 16, or
2x = 10, or x = 5 - the number of hardcover books purchased.
Then from the equation (1) you get y = 3.
Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.