Answer:
No solution
Step-by-step explanation:
This is just a simple system of equations.
y=-1/4x+2
8y+2x=-40
Get the same variables onto their corresponding sides, so it will look like this:
y=-1/4x+2
8y=-2x-40
Now here, you have to be careful, because to solve for the system of equations, you need to make sure you are multiplying the equation proportionately.
8y=-2x+16
8y=-2x+40.
But here you see that they share the same variables in a similar format, but their values are supposed to be different, meaning that this equation is a false claim. So you would respond to the question as "no solution.
Substitute 3 for x, so
4(3) + 6
12 + 6
18
It is a solution, hope this helped
Answer: 6:5
Step-by-step explanation: You can simplify the ratio 12 : 10 by dividing both terms by the greatest common factor (GCF)
The GCF of 12 and 10 is 2.
Divide both terms by 2.
12 ÷ 2 = 6
10 ÷ 2 = 5
ANSWER:
12 : 10 = 6 : 5
Considering the cube with dimensions given in this problem, we have that:
a) The volume after t hours is given by: V(t) = (0.5t + 4)³.
b) The surface area after t hours is given by: A(t) = 6(0.5t + 4)².
c) The surface area will equal 294 m² after 6 hours.
<h3>What are the volume and the surface area of a cube</h3>
Considering a cube of side length s, we have that:
For this problem, the side length after t hours is given by:
s(t) = 0.5t + 4.
Hence, the volume after t hours is given by:
V(t) = (0.5t + 4)³.
Also applying the formula, the surface area after t hours is given by:
A(t) = 6(0.5t + 4)².
The surface area will be equals to 294 m² when:
A(t) = 294.
Hence:
6(0.5t + 4)² = 294
(0.5t + 4)² = 294/6
(0.5t + 4)² = 49.
Applying the square root to both sides:
0.5t + 4 = 7
0.5t = 3
t = 6 hours.
More can be learned about the volume and the surface area of a cube at brainly.com/question/11436062
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