Answer:
x=-1, y = 2, z = 1
Step-by-step explanation:
We are given with three equations and we are asked to find the solution to them.
2x + 2y + 3z = 5 ------------- (A)
6x + 3y + 6z = 6 --------------(B)
3x + 4y + 4z = 9 ---------------(C)
Step 1 .
multiplying equation (A) by 3 and subtracting B from the result
6x + 6y + 9z = 15
6x + 3y + 6z = 6
- - - = -
_______________
3y+3z=9
y+z=3
y=3-z ----------------- (C)
Step 2.
Substituting this value of y in equation B and C
6x + 3(3-z) + 6z = 6
6x+9-3z+6z=6
6x+3z=-3
2x+z=-1 ----------------(D)
3x + 4(3-z) + 4z = 9
3x+12-4z+4z=9
3x=-3
x=-1 ------------ (E)
Putting this value f x in (D)
2(-1)+z=-1
-2+z=-1
z=1
Now we put this value of z in equation (C)
y=3-z
y=3-1
y=2
Hence we have
x=-1, y=2 and z=1
1G is equivalent to 3.7854L
Now you multiply that by the cost per L in Euros:
2.21(3.7854) = 8.365734
Now convert it to USD:
8.365734(2.21) = 18.48 USD per gallon
please mark brainlist
FIXED
Answer:
A
Step-by-step explanation:
Given that Ben worked 6 hours at x dollars per hour. That is,
Ben earns = 6x
Julie worked 9 hours and earned twice as much as Ben per hour. That is,
Julie earns = 9 × 2x = 18x
Phil worked 16 hours and earned 3 dollars an hour less than Julie
That is,
Phil earns = 16 × ( 2x - 3 )
= 32x - 48
Total wages = 6x + 18x + 32x - 48
Total wages = 56x - 48
Option A is therefore the best option which is the answer to the question.
The options seem a bit mis-formatted but here is the way p is computed:
the decrease is 2000-1600
and it is relative to: 2000 (2003 attendance)
so 
and so that aligns with your Option A. Options B, C, D look incorrect for sure.
The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
