Answer:
No solutions
Step-by-step explanation:
3x+4y=-4
15x+20y=-22
——————————
-5(3x+4y)=-5(-4) multiply 1st equation by -5 so you can eliminate the variables
-15x-20y=20. Modified 1st equation
15x+20y=-22. 2nd equation
0+0=-2. Added two equations together
since 0 does not equal -2, there is no solution.
Answer:
105 mm^3
Step-by-step explanation:
The volume formula for a triangular prism is (height x base x length) / 2.
(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3
48 m³
Step-by-step explanation:
A cube has equal length width and height
A cube in this case has length 1m meaning the width and height are also 1 m each in length.
The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³
If 48 of these can fit in the bigger box, then the bigger box has the volume of;
48 * 1 m³ = 48 m³
Learn More:
For more on volume of a cube check out;
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Answer:
B) (3, –2)
Explanation:
The inequality is y ≤ –x + 1
There are two ways to do this. You can try the four options by seeing where they lie on the graph, or by inputting them into the inequality and seeing if they check out. I am going to do a bit of both.
I know that the solution cannot have two positive coordinates because the first quadrant is not part of the solution, so I won't guess A or C.
I'll try (3, –2) (which is option B).
On the graph, (3, –2) is on the line, which means it is part of the solution because the line is solid and the inequality is a greater than or equal to sign.
Try it in the inequality:
y ≤ –x + 1
–2 ≤ –3 + 1
–2 ≤ –2 yes this checks out.
