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zhannawk [14.2K]
4 years ago
14

Convert 120 barrels to quarts

Mathematics
1 answer:
umka21 [38]4 years ago
5 0
The conversion of 120 barrels to quarts is 20,160
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Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK
Dimas [21]
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
 y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)


3 0
4 years ago
What is the measure angle of F?<br> I already know it's 140, but how do you arrive at that answer?
serg [7]
So the angles combined should be 360 and we already know h is 90 degrees. so the rest should equal 270. Just set up an equation of:

9x + 14x + 4x = 270

then solve for x, first combine like terms

27x = 270

then get x alone by dividing

x = 10

then plug 10 into the problem next to angle f: 14x

14 * 10 = 140
3 0
3 years ago
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last
uranmaximum [27]

Answer:

7 minutes

Step-by-step explanation:

average time = 6 minutes per mile

sum = average * count = 6 minutes / mile * 4 miles = 24 minutes

first + last mile = 5 + 5 = 10 minutes

first + second + third + last mile = sum = 24 minutes

second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes

average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes

4 0
3 years ago
Fernando is starting at new sales job and needs to decide which of two salary plans to choose from for Plan A he will earn $100
Sati [7]
The expression for each salary plan if s is Fernando's total weekly sales, would be:

Expression A:   S= 100+ 100(0.15y)        y=Commission
Expression B:   S= 150+ 150(0.10y)         

What amount of weekly sales us plan B better than plan A, the answer would be:Plug in the numbers for Y and use the outcomes as the sales stay to increase. For example, start with 5 sales, then go to 10 then 15, and so on and so forth.
8 0
4 years ago
Anserw first and get brainliest Which is a simplified form of the expression 6(2t – 3) + 3(t + 5)?
LiRa [457]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
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