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kotegsom [21]
3 years ago
7

3x+4 = 4x+3 how many solutions are there

Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0

Answer:

one solution

Step-by-step explanation:

Given

3x + 4 = 4x + 3 ( subtract 3x from both sides )

4 = x + 3 ( subtract 3 from both sides )

1 = x ← one solution

Aleks [24]3 years ago
6 0
Only one

4x-3x=4-3
X=1
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The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.
valentina_108 [34]

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

           ii. for the sphere, radius = 3x cm

           iii.  volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

volume = \frac{1}{3}\pir^{2}h

where: r is its base radius and h the height

volume of the given cylinder = \frac{1}{3}\pi x (2x)^{2} x h

                                              = \frac{1}{3}\pi x 4x^{2} x h

                                              = \frac{4}{3}\pix^{2} h

volume of a sphere = \frac{4}{3}\pir^{3}

where r is the radius.

volume of the given sphere =  \frac{4}{3}\pi x (3x)^{3}

                                         =  \frac{4}{3}\pi x 9 x^{3}

                                         = 12\pix^{3}

Since,

volume of the cylinder = volume of the sphere

Then we have;

\frac{4}{3}\pix^{2} h = 12\pix^{3}

4\pix^{2} h = 36\pix^{3}

subtract x^{2} from both sides

4\pih = 36\pix

divide both sides by 4\pi

h = \frac{36\pi x}{4\pi }

  = 9x

h = 9x

5 0
3 years ago
I need help with this​
Ostrovityanka [42]

Answer:

A

Step-by-step explanation:

ABC triangle is 1/2 the size of DEF triangle. In order to transform ABC to DEF, the scale has to be doubled and the point on the y-axis has to move down to 10

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3 years ago
1000 POINTS AND BRIANLEST
yanalaym [24]
1. 1456 (1/2 • 13 • 16 • 14)

2. 252 (18 • 14)

3. 1456 (same answer as the first)
7 0
3 years ago
On a number line, what is x-4<-3?
goblinko [34]

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

3 0
3 years ago
What is the smallest multiple 3 and 4 have in common
murzikaleks [220]
Their least common multiple is 12.
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