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borishaifa [10]
3 years ago
11

8x+3y= 70; y=2 Solve for x.

Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0
<h3><u>Explanation</u></h3>
  • Given the equation.

8x + 3y = 70

with given condition where y = 2.

Therefore, substitute the value of y in the equation.

8x + 3(2) = 70 \\ 8x + 6 = 70

  • Solve the equation for x-term.

8x = 70 - 6 \\ 8x = 64 \\ x =  \frac{64}{8}  \longrightarrow  \frac{8}{1}  \\ x = 8

  • Answer Check by substituting the value of y and x in the equation.

8x + 3y = 70 \\ 8(8) + 3(2) = 70 \\ 64 + 6 = 70 \\ 70 = 70

Hence, the equation is true for x = 8 and y = 2.

<h3><u>Answer</u></h3>

<u>\large{x = 8}</u>

Nataliya [291]3 years ago
5 0

Answer:

8

Step-by-step explanation:

x is 8

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Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

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Step-by-step explanation:

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Answer:

the answer is 3

Step-by-step explanation:

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3 years ago
Suppose a railroad rail is 6 kilometers and it expands on a hot day by 10 centimeters in length. Approximately how many meters w
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<span>Given that the railroad rail is 6 kilometers before expansion.

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The base of the triangle is 6 kilometers while each leg of the triangle is given by (6 + 10/100,000) / 2 = 6.0001 / 2 = 3.00005 kilometers.
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Taking one half of the isoceles triangle, we have a right triangle with one of the leg as 6 / 2 = 3 kilometers and the hypothenus = 3.00005 kilometers.

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Let the other leg of the right triangle be h, then
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Thus, the center of the rail will rise 0.01732058 kilometers above the ground.

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