Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Hey! :)
So when we write something in slope intercept form, all we're doing is solving for y. So let's do that with this equation!
-2x + y = 9
add 2x to both sides
y = 2x + 9
So C is your answer.
Please let me know if you need anything further explained!
Each friend gets 4/5 of a bag of trail mix
Answer:
The solution is possible
Step-by-step explanation:
Given

Required
Is an output of 200, possible?
To know if it is possible or not, we start by substituting 200 for f(x)

Divide both sides by 5




Take logarithm of both sides

Apply law of logarithm

Divide both sides by log2



for f(x) = 200, x is approximately 5.32
Hence, the solution is possible