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3 years ago

3x/4 +2/3=x/3 find the exact answer to the simplest form

1 answer:

5 0

First, we need to get rid of the denominator. to do so, we will simply multiply all terms by 12 (which is the result of 3*4).
(3x/4)(12)+(2/3)(12)=(x/3)(12)
9x + 8 = 4x
then we will separate the variable in one side and solve to get its value
9x-4x = -8
5x = -8
x = -8/5

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Step-by-step explanation:

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2 years ago

1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75

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If this were to be graphed, the independent variable would be the price of the ticket for the rides. The dependent variable would be the total cost.

The fair admission is not a variable because it is a constant price for every single person who goes into the fair.

The problem asks to use y to represent the total cost and x to represent the number of ride tickets. In order to fully write out the equation, we have to figure out what the fair admission costs.

43.75 = 1.25(25) + b

*b represents the fair admission

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Subtract 31.25 to find what b costs.

12.50 = b

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2 years ago

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3 years ago

F triangle abc is defined by the coordinates a(-4, -4), b(2, -2), c(0, 4) is dilated by a scale factor of 1 2 , with resulting v

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3 years ago

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The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is poin

quester [9]

Answer:

Part A: The center of The inscribed circle is the point S

Part B: The center of The circumscribed circle is the point P

Step-by-step explanation:

Part A: Find the center of The inscribed circle of ΔABC

The inscribed circle will touch each of the three sides of the triangle in exactly one point,

The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.

So, According to the previous definition:

A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B

So, the inter section between them is the center of The inscribed circle

So, the center of The inscribed circle is the point S

=====================================================

Part B: Find the center of The circumscribed circle of ΔABC

The circumscribed circle is the circle that passes through all three vertices of the triangle.

The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.

So, According to the previous definition:

P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC

So, the inter section between them is the center of The circumscribed circle

So, the center of The circumscribed circle is the point P

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3 years ago