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ad-work [718]
3 years ago
7

Solve the following equation for the value for x. 7(0.3x - 0.9) = 6x-0.6 (18 +4x)

Mathematics
1 answer:
tangare [24]3 years ago
4 0
The answer to the question is: x=3
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A scoop of ice cream in the shape of a whole sphere sits in a right cone. the radius of the ice cream scoop is 2.5 cm and the ra
Alexxandr [17]

Answer:

(At least) 10 centimeters.

Step-by-step explanation:

The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.

We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.

First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:

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

Since the radius is 2.5 cm, the volume of the full ice cream scoop is:

\displaystyle V=\frac{4}{3}\pi (2.5)^3

Use a calculator:

V\approx 65.4498\text{ cm}^3

The volume of a cone is given by:

\displaystyle V=\frac{1}{3}\pi r^2h

The radius of the cone is 2.5 cm. Therefore:

\displaystyle V=\frac{1}{3}\pi(2.5)^2h=\frac{1}{3}\pi(6.25 h)=\frac{6.25\pi}{3}h

The volume of the cone should be equal to the volume of the scoop. So:

\displaystyle 65.4498=\frac{6.25\pi}{3}h

Solve for h:

\displaystyle h\approx 65.4498\Big(\frac{3}{6.25\pi}\Big)=10\text{ cm}

The height of the cone should be (at least) 10 cm.

4 0
2 years ago
-12.2z - 13.4z=-179.2. <br><br>idk how to do this ​
Sever21 [200]

Let's solve your equation step-by-step.

−

12.2

z

−

13.4

z

=

−

179.2

Step 1: Simplify both sides of the equation.

−

12.2

z

−

13.4

z

=

−

179.2

−

12.2

z

+

−

13.4

z

=

−

179.2

(

−

12.2

z

+

−

13.4

z

)

=

−

179.2

(Combine Like Terms)

−

25.6

z

=

−

179.2

−

25.6

z

=

−

179.2

Step 2: Divide both sides by -25.6.

−

25.6

z

−

25.6

=

−

179.2

−

25.6

z

=

7

Answer:

z

=

7

8 0
3 years ago
Which is the solution to the system of equations?
Lunna [17]

Answer:

these may help you

Step-by-step explanation:

www.       math   way     .com

www.     web   math      .com

quick    math         .com

Note not advertising just thought they might could help you

5 0
3 years ago
Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent
igor_vitrenko [27]

Answer:

Range: 119

Lower quartile : 199.5

Median : 210.5

Upper quartile : 219.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Question 58 a through f.
Strike441 [17]
Tip: use Slader (the app or the website) it gives you the anwsers and it tells you how to do it as well.

4 0
3 years ago
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