Answer:
the solution of the system is:
x = 1 and y = 2.
Step-by-step explanation:
I suppose that we want to solve the equation:
-6*x + 6*y = 6
6*x + 3*y = 12
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate y in the first equation:
6*y = 6 + 6*x
y = (6 + 6*x)/6
y = 6/6 + (6*x)/6
y = 1 + x
Now we can replace this in the other equation:
6*x + 3*(1 + x) = 12
6*x + 3 + 3*x = 12
9*x + 3 = 12
9*x = 12 - 3 = 9
x = 9/9 = 1
Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.
y = 1 + (1) = 2
Then the solution of the system is:
x = 1 and y = 2.
An
amusement park ride has a moving platform attached to four swinging arms. The
platform swings back and forth, higher and higher, until it goes over the top
and around in a circular motion. In the diagram below, AD and BC represent two of the swinging arms, and DC <span>is parallel to the ground
</span>(line l). Explain
why the moving platform AB <span>is always parallel to the ground.</span>
Answer:
13.52 ounces of water
Step-by-step explanation:
80% equals 8/10
So we multiply 16.9x8/10 getting 13.52 ounces
28 white ducks swimming in pond
2*(28 white ducks) = 56 brown ducks flew and landed in pond
(28 white ducks)/2 = 14 white ducks remained in the pond
Ducks remaining in the pond (at this point):
(14 white ducks) + (56 brown ducks) = <u><em>70 ducks in all</em></u>
Well, seeing as how she mixed the clay, she has a total of 2 2/8 pounds clay (unsimplified). Although we don't know how many students she has in one class, with simple division of this number we can figure out how many student can finish the project. Removing the 2/8, we can already tell 2 students can do it, so that's a start. Now to divide the 2 pounds into 8ths. Each pound is enough for 8 students, so the 2 pounds totals to 16. Now add the extra 2 students, it's 18 total students. Hope I explained it well enough!
