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kicyunya [14]
3 years ago
10

A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo pa

per that costs $13.50 before tax. Which amount is closest to the cost of the paper with the discount before tax?
Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

$12.86

Step-by-step explanation:

multiply 13.50 by 0.05 and subtract the answer from 13.50

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Square root of -1? PLEASE HELP
kolezko [41]

My understanding it would be letter ( i )  because it is imaginary.  

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3 years ago
An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minu
Agata [3.3K]

Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3

So, it will circulate 11.85 cubic yard of air per minute.

5 0
3 years ago
Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points ​(4​,5​), ​(-6​,-6​), and ​(-14​,2​
Lilit [14]

Answer:

  (-2, -3)

Step-by-step explanation:

A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.

_____

The simultaneous equations for the circles can be solved algebraically.

The epicenter is 10 units from X, so lies on the circle ...

  (x -4)^2 +(y -5)^2 = 10^2

  x^2 -8x +16 +y^2 -10y +25 = 100

  x^2 +y^2 -8x -10y = 59

__

The epicenter is 5 units from Y, so lies on the circle ...

  (x +6)^2 +(y +6)^2 = 5^2

  x^2 +12x +36 +y^2 +12y +36 = 25

  x^2 +y^2 +12x +12y = -47

__

The epicenter is 13 units from Z, so lies on the circle ...

  (x +14)^2 +(y -2)^2 = 13^2

  x^2 +28x +196 +y^2 -4y +4 = 169

  x^2 +y^2 +28x -4y = -31

__

Subtracting the second equation from each of the other two, we get ...

  (x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)

  -20x -22y = 106 . . . . eq1 -eq2

  (x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)

  16x -16y = 16 . . . . . . . .eq3 -eq2

These simultaneous linear equations can be solved a variety of ways. We might use substitution:

  x = y+1 . . . . . from eq3 -eq2 divided by 16

  10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2

  21y = -63 . . . . . . . . . . . . simplify, subtract 10

  y = -3

  x = y+1 = -2

The epicenter is located at (x, y) = (-2, -3).

8 0
3 years ago
What is m
Lemur [1.5K]

Answer

m=40/63

Step-by-step explanation:

if you want to simpliyfiy its 0.635

7 0
3 years ago
Read 2 more answers
Can someone help me in question 51 please
notka56 [123]

We know that the area of a parallelogram is the base * the height of it, so if we divide both sides by the height, then area/height=base. Therefore, we must divide the area by the height. To divide using polynomials, we first set it up similar to a regular long division problem:


        ______________________

2x+3 | 2x²+13x+15

Next, we take the first component of the numerator (2x² in this case) and divide it by the first component of the denominator (2x) to get x. That will form the start of our answer, and at the bottom, we will subtract our numerator by the denominator (2x+3) multiplied by the start of our answer (x). Therefore, we have


          _x_____________________

2x+3 | 2x²+13x+15

        -(2x²+3x)

        _______________

                10x+15


We then repeat the process until we finish, and whatever's left at the top is our answer. If there's something left, that's our remainder.


_x+5_____________________

2x+3 | 2x²+13x+15

        -(2x²+3x)

        _______________

                10x+15

             - (10x+15)

     _________________

0


Therefore, our base has a length of x+5.


Feel free to ask further questions, and Happy Holidays!

3 0
3 years ago
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