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2 years ago

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.

Mathematics

1 answer:

worty [1.4K]2 years ago

7 0

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

$\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30$

The equation can be written as

$\rm 3x - 10y = 450\\$

For y = 15, the value of x will be.

$\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}$

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

brainly.com/question/20379472

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3 years ago

Select the two values of x that are roots of this equation x^2-5x+2=0

Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

$x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}$

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

$x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}$

$x =\frac{5 \pm \sqrt{25-8} }{2}$

$x =\frac{5 \pm \sqrt{17} }{2}$

$x =\frac{5 + \sqrt{17} }{2}$ OR $x =\frac{5 - \sqrt{17} }{2}$

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$x =\frac{9.12}{2}$ OR $x =\frac{0.88}{2}$

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

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2 years ago

Find the slope and the y-intercept of the graph of y=11+1.5x.

Anni [7]

Honestly man i don’t know Im in 6th grade bro

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3 years ago

Read 2 more answers

This problem is lowkey tricky. Can someone help me out

notka56 [123]

Answer:

x = 10

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2 years ago

Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.

vazorg [7]

Answer:

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SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

SA = 15m² + 216m² + 108m² + 180 m²

SA = 519 m²

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2 years ago