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2 years ago

Solve the solution. How many solutions does it have? 4(2x-3)=2(4x-6)

Mathematics

1 answer:

sdas [7]2 years ago

7 0

Answer:

No solutions

Step-by-step explanation:

4(2x-3)=2(4x-6)

$4(2x-3)=2 \times 2(2x-3) \\ \\ 4(2x-3)=4(2x-3)$

Same components are present on both sides of equal sign, therefore NO SOLUTIONS are possible.

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 m

podryga [215]

Answer:

The volume of the sphere is 20 m

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of the cylinder $= 30m^3$

Required

Volume of the sphere

First, we need to calculate the radius of the cylinder

The formula goes thus

$V = \pi r^2h$

By substituting 30 for V, we have

$30 = \pi r^2h$

Divide through by h

$\frac{30}{h} = \frac{\pi r^2h}{h}$

$\frac{30}{h} = \pi r^2$

Calculating the volume of the sphere

The formula goes thus

$V = \frac{4}{3}\pi r^3$

Expand Expression

$V = \frac{4}{3} * \pi r^2 * r$

Substitute $\frac{30}{h} = \pi r^2$

$V = \frac{4}{3} * \frac{30}{h} * r$

Simplify Expression

$V = \frac{4}{1} * \frac{10}{h} * r$

$V = \frac{40}{h} * r$

Given that the height of the cylinder and the sphere are equal

This means that the height of the cylinder equals the diameter of the sphere.

Mathematically; This is represented by

h = D

Where D represents diameter of the sphere

Recall that D = 2r (2 * radius)

Substitute 2r for D

h = 2r

Substitute h = 2r in $V = \frac{40}{h} * r$ ; This gives

$V = \frac{40}{2r} * r$

$V = \frac{40r}{2r}$

$V = 20$

Hence, the volume of the sphere is 20 m

4 0

2 years ago

Micah was asked to add the following expressions: 3x2−x−9x2+3x+2+−2x2+2x+5x2+3x+2 First, he combined like terms in the numerator

Natalka [10]

Micah was asked to add the following expressions:

$\frac{3x^2-x-9}{x^2+3x+2} + \frac{-2x^2+2x+5}{x^2+3x+2}$

First, he combined like terms in the numerator and kept the common denominator

First step is correct. He added the like terms in the numerator, because the denominators are same.

$3x^2 -x -9 -2x^2+2x+5 becomes x^2 +x -4$

So he got , $\frac{x^2+x-4}{x^2+3x+2}$

In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2

If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.

So Micah added the expression incorrectly. Final answer is not correct.

5 0

2 years ago

Find the area of the shaded region:

Deffense [45]

Answer:

34560

Step-by-step explanation:

You have to multiply to get your answer

Hope I'm right...

Hope this helps plz like and brainly :D

6 0

2 years ago

Box of cereal contains 23.4 ounces. Cost $5.49. What’s the cost per ounce?

Sedaia [141]

Answer:

it 4.262295082

Step-by-step explanation:

you have to divid the ounces by the cost

6 0

2 years ago

The equation ý-x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?

mel-nik [20]

Answer:

Your answer would be A. y=6!

Step-by-step explanation:

Have a nice day! :)

7 0

2 years ago