Answer:
Step-by-step explanation:
Given:
A gear bag with 3 bungee cords, 5 socket wrenches, and 2 hammers.
Total number of instruments = 3 + 5 + 2 = 10
<u>Question asked:</u>
What is the probability a person will randomly draw a socket wrench from the bag?
Solution:
As we know:
First of all we will find favorable outcome for drawing 1 socket wrench from the bag randomly:
Favorable outcome for drawing 1 socket wrench out of cookies 3 bungee cords =
Favorable outcome for drawing 1 socket wrench out of 5 socket wrenches =
Favorable outcome for drawing 1 socket wrench out of 2 hammers =
Thus, total Favorable outcome for drawing 1 socket wrench from the bag randomly: <u>By using</u>:
Total outcome for drawing 1 socket wrench out of 10 pieces of instruments:
Now,
Thus, the probability that a person will randomly draw a socket wrench from the bag is
Dude calculator work 0,75
:0
Answer:
Total distance traveled = 1/3 + 1/2 = 2+3/6 = 5/6 miles
Hope this helps!
Step-by-step explanation:
Answer:
The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Step-by-step explanation:
Let x be the hotel charge without tax in first city
We are given that The hotel charge before tax in the second city was $1500 lower than in the first.
So, Hotel charge without tax in second city =x-1500
Tax% in first city = 10%
So, tax in first city = 0.1x
Tax% in second city =5%
So, tax in second city = 0.05(x-1500)
We are given that The total hotel tax paid for the two cities was $600.
So,0.1x+0.05(x-1500)=600
0.1x+0.05x+75=600
0.15x=600-75
x=3500
Hotel charge without tax in first city = $3500
The hotel charge before tax in the second city =x-1500=3500-1500=2000
Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000