Answer:
A. {x,y}={-2,-3}
// Solve equation [2] for the variable x
[2] x = 2y + 4
// Plug this in for variable x in equation [1]
[1] (2y+4) - y = 1
[1] y = -3
// Solve equation [1] for the variable y
[1] y = - 3
// By now we know this much :
x = 2y+4
y = -3
// Use the y value to solve for x
x = 2(-3)+4 = -2
B. [1] 3x=3y-6
[2] y=x+2
Equations Simplified or Rearranged :
[1] 3x - 3y = -6
[2] -x + y = 2
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 2
// Plug this in for variable y in equation [1]
[1] 3x - 3•(x +2) = -6
[1] 0 = 0 => Infinitely many solutions
C.Step by Step Solution
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System of Linear Equations entered :
[1] 4x - y = 2
[2] 8x - 2y = 4
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 4x - 2
// Plug this in for variable y in equation [2]
[2] 8x - 2•(4x-2) = 4
[2] 0 = 0 => Infinitely many solutions
Answer:
1692.5 ft³
Step-by-step explanation:
Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.
14 ft ÷ 2 = 7 ft
h = 11 ft
r = 7 ft
Now plug it in the equation.
In the equation you have this sign above. Remember this is the pi sign which is 3.14.
V = 3.14r²h
V = 3.14<u>(7)</u><u>²</u> × 11
V = <u>3.14(49)</u> × 11
V = <u>153.86 × 11</u>
V = 1692.5 ft³
Hope this helps, thank you :) !!
Answer:
128 servings
Step-by-step explanation:
16 cups in a gallon
16/1.25 = 12.8
12.8 * 10 = 128
128 servings
Using the slope concept, it is found that the rate of download of the file is of 1920 MB/s.
<h3>What is the slope?</h3>
The slope of a linear function is given by the <u>change in the output divided by the change in the input</u>.
In this problem:
- 3 minutes since resuming the download 6720 total MegaBytes (MB).
- 5 minutes since resuming the download 10560 total MegaBytes (MB) of the file had been downloaded..
- Hence, in 2 minutes, there was a change of 10560 - 6720 = 3840 MB, which means that the slope is:
The rate of download of the file is of 1920 MB/s.
You can learn more about the slope concept at brainly.com/question/25934562
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem.
Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.
Find the Volume
Volume
l = 27 cm
w = 14 cm
h = 22 cm
V = 27 *14 * 22
V = 8316 cm^3
Find the surface area
SA = 2*l*w + 2*l*h + 2*w*h
SA = 2*27*14 + 2*27*22 + 2*14*22
SA = 756 + 1188 + 616
SA = 2558
Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.
Another way to do this is to consider a cube which might give you a more useful result.
s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2
That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.