The answer is 120 * sqrt of 2
3 * sqrt of 50 * 8 = 24 * sqrt of 50
24 * sqrt of 50 simplifies to 120 * sqrt of 2
Answer:
(a) 4.875 minutes
(b) 1.86 minutes
Step-by-step explanation:
The length of fence = 150 feet.
Rate of painting by Tyler = 11ft/min
Rate of painting by Benito = 15ft/min
(a) Let after time t minutes both have painted equal number of feet.
As Taylor has already painted 19.5 feet. So,
minutes.
(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.
So. time taken by Tylor to finish the painting
minutes.
Time taken by Benito to finish the painting
minutes
Here, tome taken by Benito is less, so Benoto finishes first.
Benoto will get the time to rest for 11.86-10=1.86 minutes.
Answer:
Step-by-step explanation:
we have
we know that
In this problem
substitute in the formula
S=cost per student ticket
a=cost per adult ticket
value=(students vlue)+(adults value)
student value=(cost per student) times number of students
adult value=(cost per adult) times number of adults
you sell 8 adult and 6 students and that is a value of 126
8a+6s=126
friend sell12 adult and 13 student and get 209
12a+13s=209
so we have
8a+6s=126 and
12a+13s=209
it might help to simplify the first equaiton by dividing by 2
4a+3s=63
we have
4a+3s=63
12a+13s=209
multiply first equaton by -3
-12a-9s=-189
add to secont equaiton
12a+13s=209
<u>-12a-9s=-189 +
</u>0a+4s=20<u> </u>
4s=20
divide 4
s=5
each student ticket costs $5.00
<span>1)
11x+5y=20
2x+5y=-25
multiply the second equation by - 1 and add the result with the first equation:
11x + 5y = 20
- 2x - 5y = 25
-------------------
9x = 45
=> x = 45 / 9
=> x = 5
Replace in </span><span>2x+5y=-25
=> 2(5) + 5y = - 25
5y = - 25 - 10
5y = - 35
y = - 35 / 5
y = - 7
2)
3x+7y=-21
3x-7y=63</span>
Add the two equations:
3x + 3x + 0 = - 21 + 63
6x = 42
=> x = 42 / 6
=> x = 7
Replace in <span>3x-7y=63
3(7) - 7y = 63
=> 7y = 21 - 63
=-> 7y = - 42
=> y = - 42 / 6
=> y = - 7</span>
