1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
---------------------------
- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
-----------------------------
- 20 x + 3 z = 20 / * 11
----------------------------------
220 y - 260 z = -220
- 220 y + 33 z = 220
------------------------------
z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
------------------------
3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
------------------------
-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
9514 1404 393
Answer:
C, D, E
Step-by-step explanation:
Collect terms. The last three options are all equivalent to ...
5.9a - 5.6b
<u>Answer:</u>
<em>Option D : $153</em>
<u>This is how I got that:</u>
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour <em>or part thereof, </em>so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is <u>$51 </u>
<u />
But Mr. Anand hired <em>three</em> boats so we simply times 51 by 3 and get our solution to the problem:
<u>Mr. Anand must pay $153 or Option D</u>
<u></u>
<em>~That's All Folks~</em>
<em>-Siascon</em>
Mark brainlist please!
Answer is 50 degrees
Since,
measure of angle F + measure of angle G + measure of angle H = 180
30 + 100 + measure of angle F = 180
Measure of angle F = 180 - 130
Measure of angle F = 50 degrees