Answer:
3:25 pm
Step-by-step explanation:
The distance between New Orleans and Houston is : 353 miles
Departure time of the bus : 12:20 pm
Speed of the bus: 60 mph
After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles
Distance remaining to cover = 353-45 = 308 miles
Speed of the motorcycle = 72 mph
Relative speed = 60 + 72 = 132 mph
Time the two will meet = 308 / 132 = 7/3 hrs
7/3 hrs = 2 hrs 20 minutes
Time the two will meet is ;
12:20 pm + 45 minutes + 2 hrs 20 minutes
= 3:25 pm
The minimum number of socks that she needs to get such that a pair is always formed is 5.
<h3>
</h3><h3>
How many socks must she get to be ensured of having a pair?</h3>
We know that she has:
- 10 white socks.
- 10 black socks
- 10 brown socks
- 10 blue socks.
First, we need to compute the maximum number of socks she needs to take in such a case that no pair is formed.
That will be 4, and represents the case where:
1 white sock, 1 black sock, 1 brown sock, and 1 blue sock are drawn. At that point, no pairs are formed.
Now, if she draws another sock, a pair will always be formed.
From this, we conclude that if she draws 5 socks, always at least one pair will be formed.
If you want to learn more about combinations, you can read:
brainly.com/question/11732255
Answer:
C
Step-by-step explanation:
Multiply by 12 on both sides.
Start with step one
y/3 - 1/4 = 5 Multiply both sides by 12
12(y/3 - 1/4) = 5*12
12*y/3 - 12 * 1/4 = 60
3 goes into 12 four times
4 goes into 12 three times. In both cases you are cancelling.
4y - 3 = 60
Hi!
<h3>Put in the values. </h3>
[z+8(5-2)]^2/4
<h3>Now use PEMDAS to solve. </h3>
- Parentheses - Subtraction
[z+8*3]^2/4
- Parentheses - Multiplication
[z+24]^2/4
z+576/4
<u>z+144</u>
<h2>When you evaluate [a+8 (b-2)]^2÷4, you get z + 144</h2>
Hope this helps! :)
-Peredhel
60 pencils. It’s a ratio. 60/96 can be simplified down to 5/8
