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sweet-ann [11.9K]
3 years ago
15

The cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%. What is the total cost o

f the hotel room?
Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

$359.13

Step-by-step explanation:

To find the total cost of her room we have to add the cost of the tax to the cost of the room.

To find the value of the tax, multiply the value of the room(325) by 10.5%:

Convert 10.5% to decimal form: 0.105

0.105 * 325 = 34.125

34.125 rounds up to 34.13.

Now, add the cost of the tax to the room's cost:

34.13 + 325 = 359.13

The total cost of the hotel room is $359.13.

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A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
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PART A:
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5 0
3 years ago
Graph the points (-3,4) and (1,1). If you drew a line through the points, name three other points that would be on the line. How
Andrej [43]
The easiest way to solve this problem is to find the equation of the line joining these two points, then get the values of the points on this line.

We have first point (x1,y1) = (-3,4) and second point (x2,y2) = (1,1).
The equation of the line is y = mx + c
The slope (m) = (y2-y1) / (x2-x1) = (1-4) / (1--3) = -0.75

Then we will use one of these points to get the value of c as follows:
y = mx + c
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The equation of this straight line is:
y = -0.75 x + 1.75

Now to get points on this line, we will assume values for either x or y and calculate the other as follows:
1- For x = 0:
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point is (0,1.75)
2- For y = 0:
0 = -0.75 x + 1.75 ..............> x = 2.334
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3 0
3 years ago
PLEASE HELP FAST
Zigmanuir [339]

Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

x²+18x+81=25+81

x²+18x+81=106

(x+9)^2=106 <-- Final simplification

(x+9

4 0
2 years ago
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son4ous [18]
There seems to be a problem with your question - AEC does not create a triangle while ADE does. 

As for finding x

Draw an imaginary line from C to D. 3^2+4^2=5^2, so take the square root to find CD=5. Now we know that CA is also 5. To find x, x^2+3^2=5^2, or x^2+9=25. Subtract 9 from both sides to get 16, and take the square root of both sides to get x=4.
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3 years ago
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