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Vlad1618 [11]
2 years ago
7

12. Solve the following inequality.

Mathematics
1 answer:
Feliz [49]2 years ago
3 0

Answer:

<u>C. The solution set is {x|x < 6}.</u>

Step-by-step explanation:

<u>Given</u> :

  • 7x + 4 < 46

<u>Subtract 4 from both sides.</u>

  • 7x + 4 - 4 < 46 - 4
  • 7x < 42

<u>Divide 7 from both sides.</u>

  • 7x/7 < 42/7
  • x < 6

<u>C. The solution set is {x|x < 6}.</u>

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You bought a boat for $10,000. You have owned it for one year, and it is now worth $8,500. What is the percent decrease in your
Ede4ka [16]

Answer:

15%

Step-by-step explanation:

You find it by taking 10,000 and subtracting 8,500 and get $1,500. Now take $1500 and divide by the actual amount 10,000 and get 15%

5 0
3 years ago
The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square​ centimeters, find
mr Goodwill [35]
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)
6 0
4 years ago
A dozen donuts cost $2.99. To the nearest cent, what is the cost of 1 donut?
kozerog [31]

Answer

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Step-by-step explanation:

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I need help on this please. Don't answer if you don't know, Thanks
lyudmila [28]

Answer:

I think you can find these answers online...

A good website that I used to use for books like these was www.slader.com, but it might not have everything.

Step-by-step explanation:

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3 years ago
How do you do this? Distributive property plz help (num 3)
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-9-(12-3x)=-9-1*(12)-1*(-3)=-9-12+3x=-21+3x=3(x-7)
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3 years ago
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