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yKpoI14uk [10]
2 years ago
14

Jason and his friends want to go bowling on Friday night. Southgate Bowling Alley charges $30 shoes and $6 per hour to bowl, whi

le Glades Bowling Alley charges $36 for shoes and $3 per hour to bowl. At how many hours would it be the same cost at either bowling alleys?
Mathematics
1 answer:
alekssr [168]2 years ago
3 0

Answer:

2 hours

Step-by-step explanation:

Slope represents the hourly rate.

Constant represents initial price.

y = 30 + 6x \\ y = 36 + 3x \\ 30 + 6x = 36 + 3x \\ 3x = 6 \\ x = 2

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KatRina [158]
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7 0
3 years ago
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Is it true that a line with slope 1 always passes through the origin? Explain your reasoning.
elena55 [62]

Well, yes and no.

Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.

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3 years ago
45 units and is centered at
mariarad [96]

The correct question is:

A circle has a radius of 45 units and is centered at (-2.4, -4.8).

What is the equation of this circle?

Answer:

Equation of the circle is;

(x + 2.4)² + (y + 4.8)² = 2304

Step-by-step explanation:

The standard equation of a circle is;

(x - a)² + (y - b)²  =  r²

where;

(a,b) is the center of the circle and r is the radius of the circle

Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45

Thus, plugging those values into the standard form of equation of a circle, we have;

(x - (-2.4))²  +  (y - (-4.8))²  = 48²

This gives;

(x + 2.4)² + (y + 4.8)² = 2304

3 0
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Answer:

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Step-by-step explanation:

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