Answer:
DB = 24
Step-by-step explanation:
First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.
Also, AE + CE = CA
So, using this, we can write this equation:
AE = CE
x + 4 = 3x -12
Subtract 4 from both sides.
x = 3x -16
Subtract 3x from both sides.
-2x = -16
Divide both sides by -2
x = 8
Then, substitute this into AE + CE = CA
x + 4 + 3x - 12 =
8 + 4 + 24 - 12 = 24
Then, because CA = DB,
DB = 24
I hope this helps! Feel free to ask any questions! :)
Answer:
166 packs
Step-by-step explanation:
Data obtained from the question include:
Total pack of paper needed by Bret 450 packs
Bret currently has = 284 packs
The remaining packs of paper needed by Bret = 450 — 284 = 166 packs
500x3=1500
80x3=240
4x3=12
1500+240+12=1,752
Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
Divide both sides by 55.
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
