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2 years ago

The sum of two numbers is 180. one number is 5 times the other

Mathematics

2 answers:

stepan [7]2 years ago

8 0

30 & 150. 150 is five times 30, and 150+30=180

Vlada [557]2 years ago

7 0

Let 2 numbers be x and y then

x + y = 180 and
y = 5x

plug y = 5x into the first equation:-

x + 5x = 180

x = 30

y = 180-30 = 150

The 2 numbers are 30 and 150

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The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

$y = ax^2 + bx + c$

The given quadratic equation is $24x^2 + 2x = 15$

Let's rearrange the equation

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This implies that

a = 24
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c = -15

The equation or formula of quadratic formula is given as

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}$

We can substitute the values into the equation and solve

$y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}$

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

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1 year ago

I have no clue help!?

vfiekz [6]

Answer:

Corresponding angles theorem.

Step-by-step explanation:

The corresponding angles theorem states that corresponding angles are congruent.

Pretty much means that every other angle is congruent if two lines are parallel and a line traverses them.

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2 years ago

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The length of a rectangle is 3 inches more than its width. the area of the rectangle is 40 square inches. what is the length, in

IceJOKER [234]

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3 years ago