Solve the unknown viable

7c/12 + 5c/16=15/48 +c

Answers

Answer 1
Answer: deconstructing
48 : 2 = 24
24 : 2 = 12
12 :2 = 6
6 : 2 = 3
3 : 3 = 1
2 * 2 * 2 * 2 * 3 = 48 
...................................
16 : 2 = 8
8 : 2 = 4
4 : 2 = 2
2 : 2 = 1
2 * 2* 2 * 2 = 16
..................................
12 : 2 = 6
(7c)/(12) + (5c)/(16) = (15)/(48) + c \n \n (7c*4)/(12*4) + (5c*3)/(16*3) - (15)/(48) = c \n \n (28c + 15c)/(48) - (15)/(48) = c \n \n 48c = 43c - 15 \n \n 48c - 43c = -15 \n \n 5c =- 15 \n \n c = -3
6 : 2 = 3
3 : 3 = 1
common denominator 48

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YOUR ASSIGNMENT: Factory Lighting ProblemIn this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher. You are deciding whether to light a new factory using bulb A, bulb B, or bulb C. Which bulb would be better to use on the factory floor? Which bulb would be better to use in the break room? To answer these questions, you will compare the energy usage of the three bulbs. The amount of energy the lights use is measured in units of kilowatt-hours. A kilowatt-hour is the amount of energy needed to provide 1000 watts of power for 1 hour. 1. Circle the two bulbs you picked. incandescent Halogen Fluorescent 2. 3. Practice: Summarizing (3 points) Fill in the blanks. The energy usage of a light bulb is a function. The input for the function is _________, measured in hours. The output of the function is energy usage, measured in ____________. Identify the functional relationship between the variables. _________________ is a function of _________________. The graph of the function will show energy usage on the _____________ axis and time on the _______________ axis. 4. Practice: Organizing Information (2 points) Use the data given to complete the table for your first bulb. DATA TABLE A Time (hours) x Energy (kWh) y Point (time, energy) (x, y) 3 10 5. Practice: Organizing Information (2 points) Use the data given to complete the table for your second bulb. DATA TABLE B Time (hours)x Energy (kWh)y Point (time, energy)(x, y) 3 10 6. Practice: Organizing Information (5 points: 1 point for labels, 2 points for each graph) Label the axes of the graph with "Time (hours)" and "Energy (kWh)." Plot the points from Table A on the graph. Connect the points with a line. On the same graph, plot the points from Table B and connect them with a line. 7. Practice: Summarizing (1 point) Classify each of your graphs as increasing, decreasing, or constant. First bulb: ___________________ Second bulb:___________________ 8. Practice: Summarizing (2 points) Fill in the blanks. First bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______. Second bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______. 9. Practice: Summarizing (1 point) The workers leave the lights on in the break room for stretches of about 3 hours. Which light bulb would light this room using the least amount of energy? 10. Practice: Summarizing (1 point) The lights in the main room of the factory stay on for stretches of 9 hours. Which kind of light bulb would light this room with the least amount of energy?
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If the floor of a square office is 225 square units, what is the perimeter of the office?

Answers

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

  • Area is a measure of how much space is occupied by a given shape.
  • Area of a substance is determined by the type of shape in question.

For example;

  • Area of a rectangle is given by; Length multiplied by width
  • Area of a triangle = 1/2 x base x height
  • Area of a circle = πr². where r is the radius of a circle,
  • Area of a square = S², Where s is the side of the square.etc.

Perimeter

  • Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

  • The perimeter of a rectangle = 2(length+width)
  • The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60

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1. Do these figures surprise you? What has been your experience with payroll deductions?
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3. What benefits does a worker receive from the money that went to taxes? Does Alvin receive any direct
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4. What information from the pay stub will be important when an income tax return is filed?

Answers

Oh, let's dive into the world of taxes, shall we?

1. Well, payroll deductions can sometimes be surprising, my dear! It's quite common to see various taxes being deducted from your paycheck. Everyone's experience with payroll deductions can differ based on their income, job, and location. So, it's always good to be prepared and aware of what to expect.

2. Ah, the fairness of taxes! It's a never-ending debate, isn't it? Whether it's fair or not to pay $127.62 in taxes every two weeks depends on various factors like income levels, tax rates, and the services provided by the government. Taxes contribute to public services, infrastructure development, healthcare, education, and so much more. So, it's a matter of perspective, my dear.

3. Now, let's talk about the benefits of those hard-earned tax dollars! Workers, like our friend Alvin, receive several direct and indirect benefits from the taxes they pay. These benefits can include access to healthcare services, social security benefits, unemployment benefits, public safety, transportation, and even education initiatives. Alvin might not directly see all the benefits, but his contributions help support the overall functioning of society.

4. Ah, the crucial information for filing an income tax return! From the pay stub, Alvin will need to keep track of the federal withholding tax and state income tax amounts deducted. These figures will be important for accurately reporting his income and calculating any potential tax refunds or liabilities when he files his income tax return.

So, my dear, keep those pay stubs handy and stay curious about the world of taxes!

Solve for x:
- 11x + 32.5 < 82

Answers

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x  < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

Which of the following represents x = 1/3y written in general form?
1/3x - y = 0
3x - y = 0
x - 1/3y = 0

Answers

x= (1)/(3)y put all numbers on the left 
x- (1)/(3)y=0
third equation is the answer
x- (1)/(3)y=0 multiply by 3
3x-y=0
x=(1)/(3)y\ \ \ \ \ \ \ \ \ |substract\ (1)/(3)y\ from\ both\ sides\n\n\boxed{x-(1)/(3)y=0}\n\nx-(1)/(3)y=0\ \ \ \ |multiply\ both\ sides\ by\ 3\n\n\boxed{3x-y=0}

betty is going to adopt puppies from a litter of 11. how many ways can she choose a group of 3 puppies?

Answers

11*10*9=990

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

Answers

Answer:  The required discriminant of the given quadratic equation is 8.

Step-by-step explanation:  We are given to find the discriminant of the following quadratic equation :

-x^2+4x-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the discriminant of a quadratic equation of the form ax^2+bx+c=0,~a\neq 0 is given by

D=b^2-4ac.

In the given quadratic equation, we have

a = -1, b = 4 and c = -2.

Therefore, the discriminant of the given quadratic equation is

D=b^2-4ac=4^2-4*(-1)*(-2)=16-8=8.

Thus, the required discriminant of the given quadratic equation is 8.

The discriminant is the b^2 - 4ac part of the quadratic formula. So you plug in the numbers you should have 4^2 - (4)(-1)(-2) to give you the answer 8