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HACTEHA [7]
3 years ago
10

You rent a car for the day and are offered two payment options. With option A you pay $25 flat rate plus $0.15 per mile. With op

tion B you pay a $10 flat rate plus $0.40 per mile. For what amount of miles would the cost of option A be equal to option B
Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

60 miles.

Step-by-step explanation:

Given:

We rent a car for the day and are offered two payment options.

With option A we pay $25 flat rate plus $0.15 per mile.

With option B we pay a $10 flat rate plus $0.40 per mile.

Question asked:

For what amount of miles would the cost of option A be equal to option B ?

Solution:

<u>Let amount of miles for which the cost of option A be equal to option B = </u>x<u />

For option A, we pay = 25+0.15\times x

For option B, we pay = 10+0.40\times x

Now, to find amount of miles for which the cost of option A be equal to option B, we will equalize the equation to find the value of x

25+0.15x=10+0.40x\\

By subtracting both sides by 10

25-10+0.15x=10-10+0.40x\\15+0.15x=0.40x

By subtracting both sides by 0.15x

15+0.15x-0.15x=0.40x-0.15x\\15=0.25x

By dividing both sides by 0.25

x=60\ miles

Therefore, for 60 miles, the cost of option A will be equal to option B.

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Answer:

A = 900in²

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Using the formulas

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Step-by-step explanation:

Solving for A:

A = 1/16 P² = 1/16 · 120² = 900in²

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2 years ago
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erastovalidia [21]

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60 = x

Step-by-step explanation:

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3 years ago
Help please with this math ;-; I beg of you
RSB [31]

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

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The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = A=\pi r^2

We are given the diameter  ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

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Remember we do not apply pi because the answer should be in terms of pi.

Now we subtract the two

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

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A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

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x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

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Learn more about Equation of Line:

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