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miv72 [106K]
3 years ago
10

Bob bought a broken motor scooter, repaired it, and sold the scooter for $130. That was $50 less than 1.5 times what he paid for

it.
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer: $120

Step-by-step explanation:

Assume the original price is x.

He sold the scooter for $130 and this was $50 less than 1.5 times what he paid for it.

Relevant formula is therefore:

1.5x - 50 = 130

1.5x = 130 + 50

x = 180/1.5

x = $120

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Select the two values of x that are roots of this equation 3x^2 + 1 =5x
Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

3x^{2} + 1 = 5x ⇒ 3x^{2} -5x + 1 = 0

(2) Divide the whole equation by 3

3x^{2} -5x + 1 = 0 ⇒ x^{2} -\frac{5}{3}x + \frac{1}{3}= 0

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

\frac{-b±\sqrt{b^{2} - 4ac}}{2a} (1)

In this case, a = 1, b = -\frac{5}{3}, c= \frac{1}{3}

Substituiting a, b and c in equation (1) We get:

\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)} (1)

The two solutions are:

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8 0
2 years ago
Anybody know!!!! SOS
ikadub [295]

Answer:

x = 50

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

This polygon is a quadrilateral with 4 sides. n = 4

(n - 2)180 = (4 - 2)180 = 2(180) = 360

The sum of the measures of the interior angles of the quadrilateral is 360 degrees.

We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.

x + 10 + 2x + 110 + 90 = 360

3x + 210 = 360

3x = 150

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2 years ago
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we are given to simplify

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when the bases are same then the exponents gets added

\\ \ =-30x^{6+1+4}y^{2+5}\\ \\ \ =-30x^{11}y^7

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3 years ago
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trapecia [35]
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Best Answer: The collective unconscious refers to that part of a person's unconscious which is common to all human beings. It contains archetypes, which are forms or symbols that are manifested by all people in all cultures. They are said to exist prior to experience, and are in this sense instinctual. Critics have argued that this is an ethnocentrist view, which universalized Jung's European-styled archetypes into human beings' archetypes.

Less mystical proponents of the Jungian model hold that the collective unconscious can be adequately explained as arising in each individual from shared instinct, common experience, and shared culture. The natural process of generalization in the human mind combines these common traits and experiences into a mostly identical substratum of the unconscious.

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Regardless of whether the individual's connection to the collective unconscious arises from mundane or mystical means, the term collective unconscious describes an important commonality that is observed to exist between different individuals' dreams. It was simply formulated by Jung as a model.

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