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Karolina [17]
3 years ago
5

Will choose brainliest!

Mathematics
2 answers:
stepladder [879]3 years ago
8 0

Lets set up some variables:

  • 1st envelope: e_{1}
  • 2nd envelope: e_{2}
  • 3rd envelope: e_{3}

Now let us set up some equations based of the facts:

  • e_{1} +2=\frac{e_{2} }{2} -- > e_{2}  = 2e_{1} +4
  • 2e_{3} =e_{1} +e_{2}
  • e_{2} > e_{3} > e_{1}

Now we could try some numbers out since there isn't really any other way I could solve this so far...

 but we do know that the sum of e_{1} and e_{2} must be even since they equal 2e_{3}

After you tried it out for a little bit, when e_{1} = 2, then e_{2} = 8, and e_{3}  = 5. These three values meet the criteria and we have our answer.

Hope that helped!

 

Reil [10]3 years ago
3 0
Dude give the guy above me Brain liest or else
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James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si
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Answer:

Part 1) see the procedure

Part 2) 4.95x+49.95 < 9.95 x

Part 3) x > 9.99\ months

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

y=4.95x+49.95

Site B

y=9.95x

The inequality that represent this situation is

4.95x+49.95 < 9.95 x

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

4.95x+49.95 < 9.95 x

Subtract 4.95x both sides

4.95x+49.95-4.95x < 9.95 x-4.95x

49.95 < 5x

Divide by 5 both sides

49.95/5 < 5x/5

9.99 < x

Rewrite

x > 9.99\ months

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

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v= \pi * r^2 * \frac{h}{3}

where r is the radius and h is the height of cone.

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diameter d= 6 cm

We know radius r = d/2 = 6/2 = 3 cm

so, volume will be:

v= \pi * 6^2 * \frac{3}{3}

v= \pi * 36

v=113.04

So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm

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