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USPshnik [31]
3 years ago
11

2/7x = 10 show work plz

Mathematics
2 answers:
rusak2 [61]3 years ago
6 0
Answer is x= 35 hope this helps
Rashid [163]3 years ago
4 0

Answer:

x = 35

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2/7*x-(10)=0

                 2

Simplify   —

                  7

  2        

 (— • x) -  10  = 0

  7        

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

             10             10 • 7

   10 =  ——  =  ——————

               1                 7  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

           2x - (10 • 7)                       2x - 70

—————————————  =  ———————

                     7                                   7  

Pull out like factors :

  2x - 70  =   2 • (x - 35)

         2 • (x - 35)

 ————————————  = 0

                 7      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

      2•(x-35)

 ———————— • 7 = 0 • 7

          7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-35)  = 0

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-35 = 0

Add  35  to both sides of the equation :

                     x = 35

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Answer:

1) a = -⅙, b = ⅙, c = 1

2) 6 units

Step-by-step explanation:

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Given the roots, we can write this as:

f(x) = a (x + 2) (x − 3)

We know that f(13) = -25, so we can plug this in to find a:

-25 = a (13 + 2) (13 − 3)

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f(x) = -⅙ (x + 2) (x − 3)

Distributing:

f(x) = -⅙ (x² − x − 6)

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Graph: desmos.com/calculator/6m6tjoodvb

2) Volume of a right prism is area of the base times the height.

V = Ah

The base is an equilateral triangle.  Area of a triangle is one half the base times height.

V = ½ ab h

The height of the triangle is the same as the height of the prism.

V = ½ bh²

In an equilateral triangle, the height is equal to half the base times the square root of 3.

V = ½ b (½√3 b)²

V = ⅜ b³

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Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They h
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Solving the inequality, it is found that the correct interpretation of the solution is:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

The amount x of miles they can still travel is modeled by the following inequality:

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To solve it, we treat it similarly to an equality, hence:

x \leq 304 - 221

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Hence:

Reina's family can drive 83 more miles before they need to refill the gas tank.​

A similar problem is given at brainly.com/question/11713066

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Given the equation below, which of the following shows the quadratic formula
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Answer:

Step-by-step explanation:

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