Answer:

Step-by-step explanation:
To find x, we first have to solve the equation given in the question:




Therefore, x = 9.
Hope this helped!
(# of five dollar bills=f ; # of ten dollar bills=t)
3t-1=f ⇒ this means that if there were 1 $5 bills, there would be 2 $10 bills.
So the ratio of $5 bills to $10 bills is 1 to 2.
We can plug that into another equation:
f+t=410 ⇒ I havent actually learned this in school yet so I just made a chart: $10 ║ $5
------║------
2 ║ 1 = $25
4 ║ 2 = $50
6 ║ 3 = $75
8 ║ 4 = $100
10 ║ 5 = $125
and so on...
you probably found the pattern already, so you can conclude that [cathy deposited 16 five dollar bills and 33 ten dollar bills]
Also, you should probably check if there are any mistakes when going through this since I took almost an hour writing this.
Answer:
Anniversary sale price= $570
Step-by-step explanation:
Giving the following information:
Purchase cost= $400
Mar-up percentage= 90%
<u>First, we need to calculate the "normal" selling price:</u>
Selling price= 400*1.9= $760
<u>Now, we can determine the anniversary sale price:</u>
Anniversary sale price= 760 - (760*0.25)= $570
Answer:
Topic: Angles
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
<u>Answer:</u>
-16 cents
<u>Step-by-step explanation:</u>
We are given that on three rolls of a single die, you will lose $19 if a 3 turns up at least once, and you will win $5 otherwise.
We are to find the expected value of the game.
P (at least one 5 in three rolls) = 1 - P (no. of 3 in three) =
= 0.875
P (other results) = 1 - 0.875 = 0.125
Random game value = -19, +5
Probabilities: 0.875, 0.125
Expected game value (X) = 0.875 × (-19) + 0.125 × (5) = -16 cents
Therefore, every time you play the game, you can expect to lose 16 cents