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lapo4ka [179]
3 years ago
8

Find the value of x when the area of a triangle is 22 in2 and has a base of 3x-1 and height of x.

Mathematics
1 answer:
Virty [35]3 years ago
5 0
The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0
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Therefore,
Revenues from the sell = 12*x = 12x
The cost making them = 20+(8*x) = 20+8x
Profits = 12x-(20+8x) = 12x -20-8x = 4x - 20

Now, this profit should be atleast $100. Then,
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3 years ago
The end points of Line GH are G (10,2) and H(4,8). Find the coordinates of the midpoint M.
nikitadnepr [17]

Answer:

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3 years ago
Solve the equation<br> -3x + 1 + 10x = x + 4<br> 0 x = 1/2<br> х<br> =<br> x = 12<br> X = 18
pav-90 [236]

Answer:

<h3>            x = 1/2</h3>

Step-by-step explanation:

-3x + 1 + 10x = x + 4

      -1                  -1

        7x  = x  + 3  

       -x          -x

        6x = 3

      ÷6      ÷6

         x = 1/2

8 0
3 years ago
It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?
belka [17]
We know that it costs $68 for 16 square feet of flooring. To find out how much it costs for 12, we first have to find out how much it costs for 1 square foot.
To find that, we would do $68 divided by 16, which is 4.25.
That means 1 square foot costs $4.25.
Then, we would multiply $4.25 by 12 to find how much 12 square feet costs.
$4.25 times 12 is 51.

So, it would cost $51 to have 12 square feet of flooring.
5 0
4 years ago
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