Apartment A rents for $600 per month and includes heat and electric. Apartment B rents for $400 per month but heat and electric are not included. Electric averages $40 per month. Heat costs for last year totaled $800. Which apartment is cheaper?

Answers

Answer 1
Answer: Appartment B is cheaper. Explanation: we need to compare these two values. A = 600 and B = 400 + cost of heat per month + cost of electricity per month. The cost of heat per year is 800, which gives us a monthly cost of 800/12 = ~$67. So the rent cost for appartment B is 400 + 40 + 67 or 507, which is less than 600.

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Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg

Answers

Weight is another term for the force from mass multiplied by acceleration due to gravity, the equation being expressed as f = ma, being force, mass, and acceleration respectively.

We already have 2 parts of the equation,50 = 10a 

Acceleration due to gravity on the planet is 5 m/s^2

Plug it into the equation f = ma

f=6kg5m/s^2

Weight or force from gravity is 60N.

What infinity multiplied by pi

Answers

Infinity is not a real number. It is an idea of something without an end. Therefore, you cannot multiply it by pi or any other number.
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Sam rotated parallelogram ABCD 90° clockwise around the origin. If angle A is 130° and angle B is 50°, what is the degree measurement of angle A'?

Answers

Answer-

The measurement of angle A' will be 130° .

Solution-

Transformations like - rotations, reflections, and translations are isometric.  That means that these transformations do not change the size of the figure.  If the size and shape of the figure is not changed, then the figures are congruent.

It doesn't matter the order or how much degree of rotation has taken place, the final image will be congruent to the original image.

So, even after the rotation of 90° clockwise around the origin, the measurement of angle A will be 130° and so do all the rest of the angles.



Answer:

B, 130 degrees.

Step-by-step explanation:

A proof should always begin with stating the given information.
True
False

Answers

A proof should always begin with stating the given information.
True

True,,, usually mostly

The graphs of the equations y=2x-7 and y-kx=7 are parallel when k equals

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y=2x-7 \ and \ y-kx=7 \n \n y=2x-7 \ and \ y=kx+7 \n \n two \ lines \ are \ parallel \ if \ their \ slopes \ are \ the \ same : \n \n k= 2


Determine the type and number of solutions of 7x^2+3x+8=0

Answers

7x^2+3x+8=0 \n \na =7, \ b=3 ,\ c=8 \n \n\Delta =b^2 - 4ac = 3^2 -4\cdot 7\cdot 8=9-224=-215\n \n Answer : \ \Delta \ is \ negative,\ this \ gives \ two \ imaginary \ solutions


7x^2+3x+8=0\n\n \Delta=3^2-4\cdot7\cdot8=9-224=-115\ \ \Rightarrow\ \ \ no\ real\ solution\n\n\ two\ complex\ solutions\n\n\Delta=-115=115\cdot i^2\ \ \ \Rightarrow\ \ \ √(\Delta) = √(115)\ i\n\nx_1= (-b- √(\Delta) )/(2a) = (-3- √(115)\ i)/(2\cdot 7) = (-3- √(115i))/(14)\n\nx_2= (-b+ √(\Delta) )/(2a) = (-3+ √(115)\ i)/(2\cdot 7) = (-3+ √(115)\ i)/(14)