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miv72 [106K]
3 years ago
7

What is 5(x-6)=2(x+3)

Mathematics
1 answer:
mezya [45]3 years ago
8 0

Answer:

x = 12

Step-by-step explanation:

Given

5(x - 6) = 2(x + 3) ← distribute parenthesis on both sides

5x - 30 = 2x + 6 ( subtract 2x from both sides )

3x - 30 = 6 ( add 30 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

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a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con
jolli1 [7]

The volume V_c of a cone  with base radius r_c and height h_c is

V_c = \dfrac{1}{3}\pi r_c^2 h_c

Similarly, the volume V_s of a sphere with radius r_s is

V_s = \dfrac{4}{3}\pi r_s^3

We know that V_c=V_s and that h_c=96

So, we can set up the following equation:

\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3

We can simplify the common denominator 3, and pi appearing on both sides:

96r_c^2=4r_s^3

We can divide both sides by 4:

24r_c^2=r_s^3

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0
3 years ago
Roger is buying a new pair of shoes for 25% off. If the original price of the shoes was $70.00, how much money is Roger saving o
Kryger [21]
10% is 7 dollars so 20% is 14 and have of 7 is 3.5 so it's 17.50
5 0
3 years ago
: Out of 100 students, 50 have a laptop computer and 30 have a desktop, and 15 have both a laptop and desktop computer. What is
Nadya [2.5K]

Answer:

30/100 I think but I think I am right.

6 0
3 years ago
Please help me find X
Zanzabum

Answer:

  x = 2

Step-by-step explanation:

The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...

  (2√3)(2√3) = x(x +4)

  12 = x² +4x

  16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square

  4² = (x +2)² . . . . . . . . write as squares

  4 = x +2 . . . . . . . . . . positive square root

  2 = x . . . . . . . . . . . . . subtract 2

_____

<em>Alternate solution</em>

If you believe x to be an integer, you can look for factors of 12 that differ by 4.

  12 = 1×12 = 2×6 = 3×4

The factors 2 and 6 differ by 4, so x=2 and x+4=6.

6 0
3 years ago
Which correctly describes the type of symmetry of the butterfly pictured?
Alexxandr [17]

I'm not 100% sure, but I think it is A - Reflectional symmetry

I think it's Reflectional symmetry because If you look at the body of the butterfly, there is an implied vertical symmetry line right through the body.

This line makes the left image look mirrored to the image on the right.

Hope this helps :))

3 0
3 years ago
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