Answer:
(x, y) = (2, 1)
Step-by-step explanation:
The x-coefficients are opposites of each other, so the x variable will be eliminated if the two equations are added.
(x +3y) +(-x -y) = (5) +(-3)
2y = 2
y = 1
Substituting into the first equation gives ...
x +3(1) = 5
x = 2 . . . . . . . subtract 3
The solution is (x, y) = (2, 1).
Answer:
x=4/7
Step-by-step explanation:
6 - 2/3(x+5) = 4x
First I want to clear the fraction so I will multiply everything by 3
3*6 -3* 2/3(x+5) = 3*4x
18 - 2(x+5) =12x
Distribute
18 - 2x-10 =12x
Combine like terms
8 -2x = 12x
Add 2x to each side
8 -2x+2x =12x+2x
8 = 14x
Divide each side by 14
8/14 =14x/14
8/14=x
Divide top and bottom by 2
4/7=x
Answer:
<h2>
a₁₀₀ = 385</h2>
Step-by-step explanation:
The nth term of arithmetic sequence is
So:
Answer:
≈ 1.3 inches
Step-by-step explanation:
Given that:
- Sphere A = 30 cubic inches
- Sphere B = 10 cubic inches
As we know, the formula to find the volume of a sphere is;
V = π
So we have:
- Sphere A = 30 cubic inches
<=> π = 30
<=> = 90/4π
<=> r ≈ 4.13
- Sphere B = 10 cubic inches
<=> π = 10
<=> = 30/4π
<=> r ≈ 2.86
So the different between the radius of sphere A and B is:
= 4.13 - 2.86
= 1.27
≈ 1.3 inches