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Vsevolod [243]
3 years ago
6

7x + 6(-3 + 4x) = 199what does x equal?

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Simplify. Note the equal sign. What you do to one side, you do to the other. Follow PEMDAS.

Isolate the x.

First, distribute 6 to all terms within the parenthesis

6(-3) = -18

6(4x) = 24x

7x - 18 + 24x = 199

Simplify. Combine like terms

31x - 18 = 199

Isolate the x. Add 18 to both sides

31x - 18 (+18) = 199 (+18)

31x = 199 + 18

31x = 217

Isolate the x. Divide 31 from both sides

31x/31 = 217/31

x = 217/31

x = 7

7 is your answer for x

hope this helps

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7 0
3 years ago
A company makes two different-sized ice cream cones. The smaller cones are 3.5 inches tall and have a diameter of 3 inches. The
barxatty [35]

Answer:

The Volume of large cone is  19.545 inches^3 greater than the smaller cone

Step-by-step explanation:

Given:

Size of the small cone =  3.5 inches

Diameter of the small cone  = 3 inches

Size of the large cone =  3.5 inches

Diameter of the small cone  = 3 inches

To Find:

How much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone = ?

Solution:

Volume of the small cone :

Radius = \frac{diameter}{2}

Radius = \frac{3}{2}

Radius = 1.5 inches

volume of the cone  =\pi rl

substituting the values,

=>\pi (1.5)(3.5)

=>\pi(5.25)

=> 16.485 inches^3

Volume of the large cone :

Volume of the large cone :

Radius = \frac{diameter}{2}

Radius = \frac{4.5}{2}

Radius = 2.25 inches

volume of the cone  =\pi rl

substituting the values,

=>\pi (2.25)(5.1)

=>\pi(11.475)

=>36.06 inches^3

Now ,

volume of small cone - volume of large cone

=>36.06 - 16.485

=>19.545 inches^3

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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5 0
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