If a + b = 6 and a - b = 4, What is the value of 2a + 3b?

Mathematics

2 answers:

tangare [24]2 years ago

4 0

The value of 2a + 3b is 13

Luden [163]2 years ago

3 0

Answer:

Step-by-step explanation:

a + b = 6 and a - b = 4

Add the two equations together

a + b = 6

a - b = 4

----------------

2a = 10

Subtract the two equations

a + b = 6

- a + b = -4

----------------

2b = 2

b =1

Multiply by 3

3b =3

2a +3b

we know 2a = 10 and 3b = 3

10+3

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Sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.

Mrrafil [7]

Answer:

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

$V=\pi r^2h$

$64=\pi r^2h$

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

$64=\pi r^2h$

$64=\pi r^2*2r=2\pi r^3$

$\pi r^3=64/2=32$

Now, the volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius. From above, we know that $\pi r^3=32$ , so we can plug this into the equation: